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Archive of related papers and books by other authors

      Last updated: .
      For my papers, please go to my publications list.
      As of today, we have roughly 1,857 works by 1,113 authors.
      For my preprints and slides of recent talks, see my preprints page.
      Here is my Bibtex file, last uploaded on August 17, 2025.

A    An    B    Barw    Be    Bh    Bl    Bo    Br    Bu    C    Cl    D    Du    E    F    G    Gr    H    Hi    Ho   

I    J    K    L    Li    M    Mc    N    O    P    Q    R    S    Sh    Sm    T    U    V    W    XYZ 


Algebraicity in monochromatic homotopy theory, 2024 Torgeir Aambo
A note on weight filtrations at the characteristic, 2025 Toni Annala and Piotr Pstrągowski
On the circle-equivariant cellular Tate filtration, 2026 Toni Annala and Piotr Pstrągowski
The Intrinsic Normal Cone for Artin Stacks, 2024 Dhyan Aranha and Piotr Pstrągowski
Arnold Conjecture and Morava K-theory, 2021 Mohammed Abouzaid and Andrew J. Blumberg
Foundation of Floer homotopy theory I: Flow categories, 2024 Mohammed Abouzaid and Andrew J. Blumberg
Abstract and Concrete Categories The Joy of Cats, 2004 J. Adámek, H. Herrlich, G. E. Strecker
What are Sifted Colimits?, 2010 J. Adámek, J. Rosický, E. M. Vitale
Algebraic theories
A categorical introduction to general algebra, 2011		 J. Adámek, J. Rosický, E. M. Vitale
On the Structure and Applications of the Steenrod Algebra, 1958 J. F. Adams, 1930-1989
Stable homotopy theory, 1964 J. F. Adams
On the Non-Existence of Elements of Hopf Invariant One, 1960 J. F. Adams
On the groups J(X)-IV, 1966. J. F. Adams
Lectures on generalised homology, 1969,
pages 1-138 of Springer Lectures Notes on Mathematics 99		 J. F. Adams
Stable homotopy and generalised homology, 1974, Adams’ blue book.
Latex edition typeset by TEXromancers (Aareyan Manzoor et al), 2022.
Please report errors to amanzoo1-at-asu-edu. 		J. F. Adams
Localisation and completion with an addendum on the use of Brown-Peterson homology in stable homotopy
(113 pages, 1973, revised and supplemented, 2010) 		J. F. Adams, notes by Z. Fiedorowicz
Graeme Segal’s Burnside ring conjecture, 1982 J. F. Adams
Prerequisites (on equivariant stable homotopy) for Carlsson’s lecture, 1982 J. F. Adams
Modules over the Steenrod algebra, 1971 J. F. Adams and H. R. Margolis
Uniqueness of BSO, 1976 J. F. Adams and S. B. Priddy
Generalized Tate Homology, Homotopy Fixed Points and the Transfer, 1989 A. Adem, R. L. Cohen and W. G. Dwyer
THH of the Morava E-theory Spectrum E2, 2025 Sanjana Agarwal
Frobenius and Verschiebung for -theory of endomorphisms, 2025 Sanjana Agarwal, Jonathan Campbell, Diego Manco, Kate Ponto and Zhonghui Sun
Cohomological Methods in Homotopy Theory, 2001
Barcelona Conference on Algebraic Topology, Bellaterra, Spain, June 4-10, 1998 		Edited by Jaume Aguade, Carles Broto and Carles Casacuberta
Geometric approach towards stable homotopy groups of spheres. Kervaire Invariant
(English, 27 pages, January, 2008) 		P. M. Akhmetiev
Geometric approach towards stable homotopy groups of spheres. Kervaire Invariant. II 
(English translation of a paper published in 2007, 16 pages) 		P. M. Akhmetiev
Geometric approach towards stable homotopy groups of spheres. Kervaire Invariant 
(Russian, 81 pages, May 2009)
June, 2009 version (Russian, 85 pages)
It is proved that there exists an integer L such that a framed manifold
of dimension 2l-2, l ≥ L has the trivial Kervaire Invariant.		 P. M. Akhmetiev
Geometric approach towards stable homotopy groups of spheres. The Steenrod-Hopf Invariant 
(English, 16 pages, January 2008) 		P. M. Akhmetiev
Geometric approach towards stable homotopy groups of spheres. The Hopf Invariant (Russian, 99 pages, May 2009)
June, 2009 version (Russian, 107 pages) 		P. M. Akhmetiev
The Arf-Kervaire invariant of framed manifolds as an obstruction to embeddability, 2009  P. M. Akhmetiev, M. Cencelj and D. Repov?s
A geometrical proof of Browder’s result on the vanishing of the Kervaire invariant, 1998  Pyotr M. Akhmetiev and Peter J. Eccles
The relationship between framed bordism and skew-framed bordism, 2005  Pyotr M. Akhmetiev and Peter J. Eccles
A plan of a positive solution of the Snaith Conjecture (2009) on the Kervaire invariants, 2021  Petr M. Akhmetev
Units of ring spectra and Thom spectra, arXiv version 2009
Published version, 2014 		M. Ando, Andrew Blumberg, David Gepner, Michael J. Hopkins, Charles Rezk
Multiplicative orientations of KO-theory and of the spectrum of topological modular forms, 2010
 M. Ando, Michael J. Hopkins, and Charles Rezk
An ∞-categorical approach to R-line bundles, R-module Thom spectra, and twisted R-homology, 2014
Published version, 2014		 M. Ando, Andrew Blumberg, David Gepner, Michael J. Hopkins, Charles Rezk
Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map, 2022
M. Ando, Andrew Blumberg and David Gepner
Elliptic spectra, the Witten genus, and the theorem of the cube, 2001 M. Ando, M. J. Hopkins,  and N. P. Strickland
Completions of Z/(p) Tate cohomology of periodic spectra, 1998 M. Ando, J. Morava,  and H. Sadofsky
On period relations for abelian integrals on algebraic curves, 1967 Aldo Andreotti and Alan Mayer
New families in the homotopy of the motivic sphere spectrum, 2014 Mike Andrews
The v1-periodic part of the Adams spectral sequence at an odd prime, MIT thesis, 2015 Mike Andrews
Inverting the Hopf map, 2017 Mike Andrews and Haynes Miller
Left-exact localizations of ∞-topoi I: Higher sheaves, 2022 Mathieu Anel, Georg Biedermann , Eric Finster and Andre Joyal
Left-exact localizations of ∞-topoi II: Grothendieck topologies, 2024 Mathieu Anel, Georg Biedermann , Eric Finster and Andre Joyal
Left-exact localizations of ∞-topoi III: The Acyclic Product, 2023 Mathieu Anel, Georg Biedermann , Eric Finster and Andre Joyal
Tidy maps and their localizations, 2025 Mathieu Anel, Georg Biedermann , Eric Finster and Andre Joyal
Maps of simplical spectra whose realizations are cofibrations, 2017 Gabriel Angelini-Knoll and Andrew Salch
Commuting unbounded homotopy limits with Morava K-theory, 2020 Gabriel Angelini-Knoll and Andrew Salch
A May-type spectral sequence for higher topological Hochschild homology, 2018 Gabriel Angelini-Knoll and Andrew Salch
A homological approach to chromatic complexity of algebraic K-theory, 2025 Gabriel Angelini-Knoll and J.D. Quigley
The Segal Conjecture for topological Hochschild homology of the Ravenel spectra, 2021 Gabriel Angelini-Knoll and J.D. Quigley
Detecting β elements in iterated algebraic K-theory, 2023 Gabriel Angelini-Knoll
Algebraic K-theory of real topological K-theory, 2023 Gabriel Angelini-Knoll, Christian Ausoni and John Rognes
A deformation of Borel equivariant homotopy, 2023 Gabriel Angelini-Knoll, Mark Behrens, Eva Belmont and Hana Jia Kong
Algebraic K-theory of elliptic cohomology, 2025 Gabriel Angelini-Knoll, Christian Ausoni, Dominic Leon Culver, Eva Höning and John Rognes
Topological Hochschild homology of truncated Brown-Peterson spectra I, 2021 Gabriel Angelini-Knoll, Dominic Leon Culver and Eva Höning
Real topological Hochschild homology via the norm and Real Witt vectors, 2025 Gabriel Angelini-Knoll, Teena Gerhardt and Mike Hill
Syntomic cohomology of Morava K-theory, 2024 Gabriel Angelini-Knoll, Jeremy Hahn and Dylan Wilson
Real Syntomic Cohomology, 2025 Gabriel Angelini-Knoll, Hana Jia Kong, and J. D. Quigley
On the integral algebraic K-theory of Morava K-theory, 2026 Gabriel Angelini-Knoll and Haldun Ozgur Bayindir
Hopf algebra structure on topological Hochschild homology, 2005 Vigleik Angeltveit and John Rognes
Enriched Reedy categories, 2008 Vigleik Angeltveit
Topological Hochschild homology and cohomology of A∞ ring spectra, 2008 Vigleik Angeltveit
Interpreting the Bökstedt smash product as the norm, 2016 Vigleik Angeltveit, Andrew Blumberg, Teena Gerhardt, Mike Hill , and Tyler Lawson
Topological cyclic homology via the norm, 2018 Vigleik Angeltveit, Andrew Blumberg, Teena Gerhardt, Mike Hill Mike Hill , Tyler Lawson and Mike Mandell
Graded Tambara Functors, 2017 Vigleik Angeltveit and Anna Marie Bohmann
Uniqueness of BP, 2017 Vigleik Angeltveit and John Lind
The Picard group of the category of Cn-equivariant stable homotopy theory, 2021 Vigleik Angeltveit
Single loop space decompositions, 1992 David Anick
Small H spaces related to Moore spaces, 1995 David Anick and Brayton Gray
Papers of Benjamin Antieau
His K-theory blog
Brauer groups and etale cohomology in derived algebraic geometry, 2014 Benjamin Antieau and David Gepner
Unramified division algebras do not always contain Azumaya maximal orders, 2014 Benjamin Antieau and Ben Williams
A primer for unstable motivic homotopy theory, 2016 Benjamin Antieau and Elden Elmanto
On localization sequences in the algebraic K-theory of ring spectra, 2018 Benjamin Antieau, Tobias Barthel and David Gepner
Period-index bounds for arithmetic threefolds, 2019 Benjamin Antieau, Asher Auel, Colin Ingalls, Daniel Krashen and Max Lieblich
Cartier modules and cyclotomic spectra, 2021 Benjamin Antieau and Thomas Nikolaus
On the K-theory of Z/pn - announcement, 2022 Benjamin Antieau, Achim Krause, and Thomas Nikolaus
On the K-theory of perfectoid rings, 2022 Benjamin Antieau, Akhil Mathew, and Matthew Morrow
On the Beilinson fiber square, 2022 Benjamin Antieau, Akhil Mathew, Matthew Morrow and Thomoas Nikolaus
Picard sheaves, local Brauer groups, and topological modular forms, 2022 Benjamin Antieau, Lennart Meier and Vesna Stojanoska
Prismatic cohomology relative to δ-rings, 2023 Benjamin Antieau, Achim Krause, and Thomas Nikolaus
Spherical Witt vectors and integral models for spaces, 2024 Benjamin Antieau
On the K-theory of Z/pn, 2024 Benjamin Antieau, Achim Krause, and Thomas Nikolaus
Cyclotomic synthetic spectra, 2024 Benjamin Antieau
The mod 2 homology of free spectral Lie algebras, 2020 Omar Antolin-Camarena
A Whirlwind Tour of the World of (∞, 1)-categories, 2014 Omar Antolin-Camarena
Chromatic fracture cubes, 2014 Omar Antolin-Camarena and Tobias Barthel
A simple universal property of Thom ring spectra, 2019 Omar Antolin-Camarena and Tobias Barthel
Higher presentable categories and limits, 2025 Ko Aoki
Higher Zariski Geometry, 2025 Ko Aoki, Tobias Barthel, Anish Chedalavada, Tomer Schlank and Greg Stevenson
Étale Homotopy Obstructions of Arithmetic Spheres, 2019 Edo Arad, Shachar Carmeli and Tomer M. Schlank
A Short Proof of the Universality of the Relative Rezk Nerve, 2026 Kensuke Arakawa and Bastiaan Cnossen
Typical Formal in Complex Cobordism Groups and K-Theory, 1973 S. Araki (1930-2005)
Equivariant stable homotopy groups of spheres with involutions, I, 1982 S. Araki and K. Iriye
Geometric Langlands Conjecture II: Kac-Moody localization and the FLE, 2024 D. Arinkin, D. Beraldo, L. Chen, J. \Færgeman, D. Gaitsgory, K. Lin, S. Raskin and N. Rozenblyum
Geometric Langlands Conjecture IV: Ambidexterity, 2024 D. Arinkin, D. Beraldo, L. Chen, J. \Færgeman, D. Gaitsgory, K. Lin, S. Raskin and N. Rozenblyum
Coherent cochain complexes and Beilinson t-structures, with an appendix by Achim Krause, 2021 Stefano Ariotta
The Goodwillie tower of the identity functor and the unstable periodic homotopy of spheres, 1999 Gregory Arone and Mark Mahowald
The spectrum of excisive functors, 2024 Gregory Arone, Tobias Barthel, Drew Heard, and Beren Sanders
Partition Complexes, Tits Buildings and Symmetric Products, 2001 Gregory Arone and William Dwyer
The Action of Young Subgroups on the Partition Complex, 2018 Gregory Arone and Lukas Brantner
Goodwillie Calculus, 2019 Gregory Arone and Michael Ching
Grothedieck topologies, 1962 Michael Artin
SGA4, Th�orie des topos et cohomologie �tale des sch�mas (Exposes I-IV), 1972 Michael Artin, A. Grothendieck, J.-L. Verdier avec la participation de N. Bourbaki, P. Deligne, B. Saint-Donat
Th�orie des Topos et Cohomologie Etale des Sch�mas. S�minaire de G�om�trie Alg�brique du Bois-Marie 1963-1964 (SGA 4)(Exposes V-VIII), 1972 Michael Artin, A. Grothendieck, J.-L. Verdier avec la participation de N. Bourbaki, P. Deligne, B. Saint-Donat
SGA4, Expos� V: Th�orie des topos et cohomologie �tale des sch�mas (Exposes IX-XIX), 1973 Michael Artin, A. Grothendieck, J.-L. Verdier avec la participation de N. Bourbaki, P. Deligne, B. Saint-Donat
Etale Homotopy, 1969 Michael Artin and Barry Mazur
Orientable smooth manifolds are essentially quasigroups, 2021 Charlotte Aten and Semin Yoo
Vector bundles and homogeneous spaces, 1961 M. F. Atiyah and F. Hirzebruch
On the periodicity theorem for complex vector bundles, 1964 Michael Atiyah and Raoul Bott
K-theory and reality, 1966 M. F. Atiyah
Bott periodicity and the index of elliptic operators, 1968 M. F. Atiyah
Introduction to Commutative Algebra, 1969 M. F. Atiyah and I. G. MacDonald
Adjunction of roots, algebraic K-theory and chromatic redshift, 2023 Christian Ausoni, Haldun Ozgur Bayindir and Tasos Moulinos
Towards topological Hochschild homology of Johnson-Wilson spectra, 2020 Christian Ausoni and Birgit Richter
Algebraic K-theory of topological K-theory, 2002 Christian Ausoni and John Rognes
The chromatic red-shift in algebraic K-theory, 2008 Christian Ausoni and John Rognes
Factorization homology of topological manifolds, 2015 David Ayala and John Francis
A factorization homology primer, 2019 David Ayala and John Francis
Factorization homology I: higher categories, 2015 David Ayala, John Francis and Nick Rozenblyum
A naive approach to genuine G-spectra and cyclotomic spectra, 2017 David Ayala, Aaron Mazel-Gee and Nick Rozenblyum
Derived Mackey functors and Cpn-equivariant cohomology, 2017 David Ayala, Aaron Mazel-Gee and Nick Rozenblyum
The geometry of the cyclotomic trace, 2017 David Ayala, Aaron Mazel-Gee and Nick Rozenblyum
Stratified noncommutative geometry, 2022 David Ayala, Aaron Mazel-Gee and Nick Rozenblyum
Symmetries of the cyclic nerve, 2024 David Ayala, Aaron Mazel-Gee and Nick Rozenblyum
Factorization Homology of Enriched ∞-Categories, 2024 David Ayala, John Francis, Aaron Mazel-Gee and Nick Rozenblyum
Stable finiteness properties of infinite discrete groups, 2017 Noe Baarcenas, Dieter Degrijse and Irakli Patchkoria
Norms in motivic homotopy theory, 2017 Tom Bachmann and Marc Hoyois
The generalized slices of Hermitian K-theory, 2017 Tom Bachmann
Motivic and real étale stable homotopy theory, 2018 Tom Bachmann
η-periodic motivic stable homotopy theory over fields, 2020 Tom Bachmann and Michael J. Hopkins
The Chow -structure on the ∞-category of motivic spectra, 2021 Tom Bachmann, Hana Jia Kong, Guozhen Wang and Zhouli Xu
Lectures on n-categories and cohomology, 2007 Talks by John Baez, notes by Michael Shulman
Stable Comodule Deformations and the Synthetic Adams-Novikov Spectral Sequence, 2024 J. Francis Baer, Maxwell Johnson and Peter Marek
Operads and phylogenetic trees, 2017 John Baez and Nina Otter
On the Tate spectrum of tmf at the prime 2, 2017 Scott M. Bailey and Nicolas Ricka
Enumerating partitions arising in homotopy theory, 2022 Scott M. Bailey and Donald M. Larson
Husemoller-Witt decompositions and actions of the Steenrod algebra, 1985 Andrew Baker
Hecke operators as operations in elliptic cohomology,, 1990 Andrew Baker
Some calculations with Milnor hypersurfaces and an application to Ginzburg’s symplectic bordism ring, 1994? Andrew Baker
On the Adams Spectral Sequence for R-modules, 2001 Andrew Baker and Andrey Lazarev
Galois extensions of Lubin-Tate spectra, 2008 Andrew Baker and Birgit Richter
Brauer groups for commutative S-algebras, 2012 Andrew Baker, Birgit Richter and Markus Szymik
Endotrivial modules for the quaternion group and iterated Jokers in chromatic homotopy theory, 2023 Andrew Baker
N∞-operads and associahedra, 2014 Scott Balchin, David Barnes and Constanze Roitzheim
Spectra of bi-incomplete Tambara functors, 2026 Scott Balchin, J.D. Quigley and Ben Spitz
Home page of Paul Balmer
Type 2 complexes constructed from Brown-Gitler spectra, 2024 William Balderrama, Justin Barhite, Nicholas J. Kuhn and Donald M. Larson
C pn -Mahowald invariants and v 1,0 -self maps, 2024 William Balderrama, Y. Hou and S. Zhang
A motivic analogue of the K(1)-local sphere spectrum, 2023 William Balderrama, Kyle Ormsby and J.D. Quigley
The motivic lambda algebra and motivic Hopf invariant one problem, 2021 William Balderrama, Dominic Culver and J.D. Quigley
Unstable synthetic deformations I: Malcev theories, 2026 William Balderrama and Piotr Pstrągowski
Unstable synthetic deformations II: Infinitesimal extensions, 2026 William Balderrama and Piotr Pstrągowski
The spectrum of prime ideals in tensor triangulated categories, 2005 Paul Balmer
Spectra, spectra, spectra -- Tensor triangular spectra versus Zariski spectra of endomorphism rings, 2010 Paul Balmer
Tensor triangular geometry, 2010 Paul Balmer
Generalized Rickard idempotents and the telescope conjecture, 2010 Paul Balmer and Giordano Favi
The spectrum of the equivariant stable homotopy category of a finite group, 2017 Paul Balmer and Beren Sanders
On the surjectivity of the map of spectra associated to a tensor-triangulated functor, 2018 Paul Balmer
The frame of smashing tensor-ideals, 2018 Paul Balmer, Henning Krause and Greg Stevenson
Tensor-triangular fields: ruminations, 2019 Paul Balmer, Henning Krause and Greg Stevenson
Homological support of big objects in tensor-triangulated categories, 2020 Paul Balmer
Nilpotence theorems via homological residue fields, 2020 Paul Balmer
Mackey 2-functors and Mackey 2-motives, 2020 Paul Balmer and Ivo Dell´Ambrogio
The Tate intermediate value theorem, 2025 Paul Balmer and Beren Saunders
Galois descent for real spectra, 2017 Romie Banerjee
Iterated monoidal categories, 2003 C. Balteanu, Z. Fiedorowicz, R. Schwanzl, and R. Vogt
Simply Connected Five-Manifolds, 1965 D. Barden
Envelopes for Algebraic Patterns, 2024 Shaul Barkan, Rune Haugseng and Jan Steinebrunner
Stable left and right Bousfield localisations, 2014 David Barnes and Constanze Roitzheim
Capturing Goodwillie’s derivative, 2016 David Barnes and Rosona Eldred
Homological Localisation of Model Categories, 2015 David Barnes and Constanze Roitzheim
An algebraic model for rational naive-commutative G-equivariant ring spectra for finite G, 2019 David Barnes, J.P.C. Greenlees and Magdalena Kędziorek
Homotopy operations and homotopy groups, 1963 M. G. Barratt (1927-2015)
Relations amongst toda brackets and the Kervaire invariant in dimension 62, 1984 M. B. Barratt, J. D. S. Jones and M. E. Mahowald (1931-2013)
An example of anomalous singular homology, 1961 M. G. Barratt and John Milnor
Functorial Factorizations in Pro Categories, 2013 Ilan Barnea and Tomer M. Schlank
Model Structures on Ind-Categories and the Accessibility Rank of Weak Equivalences, 2014 Ilan Barnea and Tomer M. Schlank
A new model for pro-categories, 2014 Ilan Barnea and Tomer M. Schlank
A Projective Model Structure on Pro-Simplicial Sheaves, and the Relative Étale Homotopy Type, 2015 Ilan Barnea and Tomer M. Schlank
From weak cofibration categories to model categories, 2016 Ilan Barnea and Tomer M. Schlank
Noncommutative CW-spectra as enriched presheaves on matrix algebras, 2021 Ilan Barnea, Gregory Arone and Tomer M. Schlank
Suspension spectra of matrix algebras, the rank filtration, and rational noncommutative CW-spectra, 2023 Ilan Barnea, Gregory Arone and Tomer M. Schlank
Sieves and the Minimal Ramification Problem, 2020 Lior Bary-Soroker and Tomer M. Schlank
Papers of Tobias Barthel
On the construction of functorial factorizations for model categories, 2013 Tobias Barthel and Emily Riehl
Chromatic completion, 2016 Tobias Barthel
Brown-Peterson cohomology from Morava E-theory, 2017 Tobias Barthel and Nathaniel Stapleton, with an appendix by Jeremy Hahn
The character of the total power operation, 2017 Tobias Barthel and Nathaniel Stapleton
Chromatic homotopy theory is asymptotically algebraic, 2018 Tobias Barthel, Tomer Schlank and Nathaniel Stapleton
Algebraic chromatic homotopy theory for BP*BP-comodules, 2018 Tobias Barthel and Drew Heard
The Balmer spectrum of the equivariant homotopy category of a finite abelian group, 2018 Tobias Barthel, Markus Hausmann, Niko Naumann, Thomas Nikolaus, Justin Noel , and Nathaniel Stapleton
Constructing the determinant sphere using a Tate twist, 2018 Tobias Barthel, Agnes Beaudry, Paul G. Goerss and Vesna Stojanoska
Monochromatic homotopy theory is asymptotically algebraic, 2019 Tobias Barthel, Tomer Schlank and Nathaniel Stapleton
On the comparison of stable and unstable p-completion., 2019 Tobias Barthel and A Bousfield
A short introduction to the telescope and chromatic splitting conjectures, 2019 Tobias Barthel
A Whitehead theorem for periodic homotopy groups, 2021 Tobias Barthel, Gijs Heuts and Lennart Meier
Chromatic structures in stable homotopy theory, 2019 Tobias Barthel and Agnes Beaudry
A short introduction to the telescope and chromatic splitting conjectures, 2020 Tobias Barthel
Morava K-theory and Filtrations by Powers, 2021 Tobias Barthel and Piotr Pstragowski
The Chromatic Fourier Transform, 2024 Tobias Barthel, Shachar Carmeli , Tomer Schlank, and Lior Yanovski
On the rationalization of the K(n)-local sphere, 2023 Tobias Barthel, Tomer Schlank, Nathaniel Stapleton, and Jared Weinstein
On Hopkins’ Picard group, 2024 Tobias Barthel, Tomer Schlank, Nathaniel Stapleton, and Jared Weinstein
Cosupport in tensor triangular geometry, 2023 Tobias Barthel, Natalia Castellana, Drew Heard and Beren Sanders
On surjectivity in tensor triangular geometry, 2023 Tobias Barthel, Natalia Castellana, Drew Heard and Beren Sanders
Geometric points in tensor triangular geometry, 2026 Tobias Barthel, Logan Hyslop and Maxime Ramzi
Stratification and the comparison between homological and tensor triangular support, 2023 Tobias Barthel, Drew Heard and Beren Sanders
Stratification in tensor triangular geometry with applications to spectral Mackey functors. , 2023 Tobias Barthel, Drew Heard and Beren Sanders
On the universality of multiexcisive functors , 2026 Tobias Barthel, Kaif Hilman and Nikolay Konovalov
Gross-Hopkins duals of higher real K-theory spectra, 2019 Tobias Barthel, Agnes Beaudry and Vesna Stojanoska
Papers of Clark Barwick
On Reedy model categories, 2007
This material is in Section 3 of the 2010 paper below. 		Clark Barwick
On left and right model categories and left and right bousfield localizations, 2010 Clark Barwick
On the Unicity of the Homotopy Theory of Higher Categories, 2021 Clark Barwick and Chris Schommer-Pries
From partial model categories to ∞-categories, 2012? Clark Barwick and Dan Kan
A characterization of simplicial localization functors and a discussion of dk equivalences, 2012 Clark Barwick and Dan Kan
relative categories: another model for the homotopy theory of homotopy theories, 2012 Clark Barwick and Dan Kan
n-relative categories: a model for the homotopy theory of n-fold homotopy theories, 2013 Clark Barwick and Dan Kan
Multiplicative structures on algebraic K-theory, 2013 Clark Barwick
On exact infinity-categories and the Theorem of the Heart, 2015 Clark Barwick
On the algebraic K-theory of higher categories, 2016 Clark Barwick
A note on stable recollements, 2016 Clark Barwick and Saul Glasman
Cyclonic spectra, cyclotomic spectra, and a conjecture of Kaledin, 2016 Clark Barwick and Saul Glasman
Dualizing cartesian and cocartesian fibrations, 2018 Clark Barwick, Saul Glasman and Denis Nardin
Spectral Mackey functors and equivariant algebraic K-theory (I), 2017
 Clark Barwick
Spectral Mackey functors and equivariant algebraic k-theory (II), 2020 Clark Barwick, Saul Glasman and Jay Shah
Regularity of structured ring spectra and localization in K-theory, 2014 Clark Barwick and Tyler Lawson
Parametrised higher category theory and higher algebra, 2018? Clark Barwick, Emanuele Dotto, Saul Glasman, Denis Nardin, and Jay Shah
Pyknotic objects, I. Basic notions, 2019 Clark Barwick and Peter Haine
Exodromy, 2020 Clark Barwick, Saul Glasman and Peter Haine
On the Q-construction for exact ∞-categories, 2013 Clark Barwick and John Rognes
K-theory and polynomial functors, 2021 Clark Barwick Saul Glasman, Akhil Mathew, and Thomas Nikolaus
Algebraic K-Theory 1 - Higher K-Theories, Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute, Aug. 28-Sept. 8, 1972, 1973 Edited by Hyman Bass
Andre-Quillen cohomology of commutative S-algebras, 1999 Maria Basterra
Homology of En ring spectra and iterated THH, 2011 Maria Basterra and Mike Mandell
The multiplication on BP, 2013 Maria Basterra and Mike Mandell
Unbased calculus for functors to chain complexes, 2015 Maria Basterra, Kristine Bauer, Agnes Beaudry, Rosona Eldred, Brenda Johnson, Mona Merling and Sarah Yeakel
Non-trivial extensions in equivariant cohomology with constant coefficients , 2021 Samik Basu and Surojit Ghosh
Homotopy theory for algebras over polynomial monads M. A. Batanin and C. Berger
Constructing monads from cubical diagrams and homotopy colimits, 2024 Kristine Bauer, Robyn Brooks, Kathryn Hess, Brenda Johnson, Julie Rasmusen and Bridget Schreiner
Computation of the homotopy of the spectrum tmf Tilman Bauer
Convergence of the Eilenberg-Moore spectral sequence for generalized cohomology theories, 2014 Tilman Bauer
On the structure of abelian Hopf algebras, 2022 Tilman Bauer
Infinite families of very exotic spheres with free S1- and S3-actions, 2026 Tilman Bauer and J.D. Quigley
Algebraic homotopy, 1989 Hans Baues
Secondary derived functors and the Adams spectral sequence Hans Baues and Mamuka Jibladze
Computation of the E3-term of the Adams spectral sequence Hans Baues and Mamuka Jibladze
Left-induced model structures and diagram categories, 2015 Marzieh Bayeh, Kathryn Hess, Varvara Karpova, Magdalena Kedziorek, Emily Riehl, and Brooke Shipley
Contractibility of the Space of Generic Opers for Classical Groups, 2022 Dario Beraldo, David Kazhdan and Tomer M. Schlank
A Theorem on Multiplicative Cell Attachments with an Application to Ravenel’s X(n) Spectra, 2018 Jonathan Beardsley
Toward a Galois theory of the integers over the sphere spectrum, 2018 Jonathan Beardsley and Jack Morava
Skeleta and categories of algebras, 2024 Jonathan Beardsley and Tyler Lawson
Brauer-Wall Groups and Truncated Picard Spectra of K-theory, 2023 Jonathan Beardsley, Kiran Luecke and Jack Morava
The algebraic duality resolution at p = 2, 2015 Agnes Beaudry
TOWARDS π* L K(2) V (0) AT p = 2, 2015 Agnes Beaudry
Towards the homotopy of the K(2)-local Moore spectrum at p = 2, 2017 Agnes Beaudry
The chromatic splitting conjecture at n=p=2, 2017 Agnes Beaudry
Chromatic splitting for the K(2)-local sphere at p=2, 2018 Agnes Beaudry, Paul Goerss and Hans-Werner Henn
A guide for computing stable homotopy groups, 2018 Agnes Beaudry, Paul Goerss and Jonathan A. Campbell
The α-family in the K(2)-local sphere at the prime 2, 2019 Agnes Beaudry
Dualizing spheres for compact p-adic analytic groups and duality in chromatic homotopy, 2020 Agnes Beaudry, Paul Goerss, Michael J. Hopkins and Vesna Stojanoska
The duality resolution at n=p=2, 2025 Agnes Beaudry, Irina Bobkova and Hans-Werner Henn
Computations of orbits for the Lubin-Tate ring, 2018 Agnes Beaudry, Naiche Downey, Connor McCranie, Luke Meszar, Andy Riddle and Peter Rock
Motivic homotopical Galois extensions, 2018 Agnes Beaudry, Kathryn Hess, Magdalena Kedziorek, Mona Merling and Vesna Stojanoska
The Homotopy Fixed Point Theorem and the Quillen–Lichtenbaum conjecture in Hermitian K-theory, 2015 A. J. Berrick, M. Karoubi, M. Schlichting and P. A. Østvær
On the E2-term of the bo-Adams spectral sequence, 2018 Agnes Beaudry, Mark Behrens, Prasit Bhattacharya, Dominic Culver, and Zhouli Xu
On the tmf resolution of Z, 2018 Agnes Beaudry, Mark Behrens, Prasit Bhattacharya, Dominic Culver, and Zhouli Xu
The telescope conjecture at height 2 and the tmf resolution, 2021 Agnes Beaudry, Mark Behrens, Prasit Bhattacharya, Dominic Culver, and Zhouli Xu
Invertible K(2)-Local E-Modules in C4-Spectra, 2020 Agnes Beaudry, Irina Bobkova, Michael Hill, and Vesna Stojanoska
Models of Lubin-Tate spectra via Real bordism theory, 2020 Agnes Beaudry, Michael Hill, Xiaolin Danny Shi, and Mingcong Zeng
Transchromatic extensions in motivic and Real bordism, 2020 Agnes Beaudry, Michael Hill, Xiaolin Danny Shi, and Mingcong Zeng
Quotient rings of H𝔽2 ∧ H𝔽2, 2021 Agnes Beaudry, Michael Hill, Tyler Lawson, Xiaolin Danny Shi, and Mingcong Zeng
On the slice spectral sequence for quotients of norms of Real bordism, 2022 Agnes Beaudry, Michael Hill, Tyler Lawson, Xiaolin Danny Shi, and Mingcong Zeng
The topological modular forms of RP2 and RP2∧CP2, 2022 Agnes Beaudry, Irina Bobkova, Viet-Cuong Pham and Zhouli Xu
The Exotic K(2)-Local Picard Group at the Prime 2, 2022 Agnes Beaudry, Irina Bobkova, Paul G. Goerss, Hans-Werner Henn, Viet-Cuong Pham, and Vesna Stojanoska
Cohomology of the Morava stabilizer group through the duality resolution at n=p=2, 2022 Agnes Beaudry, Irina Bobkova, Paul G. Goerss, Hans-Werner Henn, Viet-Cuong Pham, and Vesna Stojanoska
Transchromatic extensions in motivic bordism, 2023 Agnes Beaudry,Mike Hill, Danny Shi and Mingcong Zeng
A Guide to Equivariant Parametrized Cohomology, 2024 Agn�s Beaudry, Chloe Lewis, Clover May, Sabrina Pauli, Elizabeth Tatum
The transfer map and fiber bundles, 1974 J. C. Becker and D. H. Gottlieb
Papers of Mark Behrens
On the existence of the self map v2 9 on the Smith-Toda  complex V(1) at the prime 3, 2003 Mark Behrens and Satya Pemmaraju
On the existence of a v232-self map on M(1,4) at the prime 2, 2008 Mark Behrens, Mike Hill, Mike Hopkins and Mark Mahowald, 1931-2013
Congruences between modular forms given by the divided beta family in homotopy theory, 2009 Mark Behrens
The homotopy groups of SE(2) at p≥5 revisited, 2012 Mark Behrens
The Goodwillie tower and the EHP sequence, 2012 Mark Behrens
Detecting exotic spheres in low dimensions using coker J, 2017 Mark Behrens, Michael Hill, Michael J. Hopkins, and Mark Mahowald  
A C2-equivariant analog of Mahowald’s Thom spectrum theorem, 2017 Mark Behrens and Dylan Wilson  
Notes on the construction of tmf Mark Behrens
A modular description of the K(2)-local sphere at the prime 3 Mark Behrens
Root invariants in the Adams spectral sequence Mark Behrens
Topological automorphic forms Mark Behrens and Tyler Lawson
Topological automorphic forms on U(1,1) Mark Behrens and Tyler Lawson
On the homotopy of q(3) and q(5) at the prime 2 Mark Behrens and Kyle Ormsby
On the ring of cooperations for 2-primary connective topological modular forms, 2019 Mark Behrens, Kyle Ormsby, Nat Stapleton, and Vesna Stojanoska
A C2-equivariant analog of Mahowald’s Thom spectrum theorem, 2018 Mark Behrens and Dylan Wilson
The Bousfield-Kuhn functor and topological Andre-Quillen cohomology, 2020 Mark Behrens and Charles Rezk
Lie algebra models of unstable vn-periodic homotopy theory, 2019 Mark Behrens and Charles Rezk
C2-equivariant stable homotopy from real motivic stable homotopy, 2020 Mark Behrens and Jay Shah
The 2-primary Hurewicz image of tmf, 2020 Mark Behrens Mark Mahowald and J.D. Quigley
Topological modular and automorphic forms, 2020 Mark Behrens
The structure of the v_2-local algebraic tmf resolution, 2023 Mark Behrens, Prasit Bhattacharya and Dominic Culver
Periodic phenomena in equivariant stable homotopy theory, 2024 Mark Behrens and Jack Carlisle
Unstable homotopy groups and Lie algebras, 2024 Mark Behrens and Connor Malin
Faisceaux pervers, 1982 A. A. Beilinson, J. Bernstein and Pierre Deligne
Topological ε-factors, 2006 A.A. Beilinson
Sheafifiable homotopy model categories, 2000 Tibor Beke  
Homological and Homotopical Aspects of Torsion Theories, 2007 Apostolos Beligiannis and Idun Reiten
Talbot 2015: Applications of operads, 2015 Eva Belmont
A Quick Introduction to Operads, 2017 Eva Belmont
A Cartan-Eilenberg spectral sequence for a non-normal extension, 2019 Eva Belmont
Localizing the E2 page of the Adams spectral sequence, 2020 Eva Belmont
C2-equivariant and ℝ-motivic stable stems II, 2021 Eva Belmont, Bert Guillou and Daniel C. Isaksen
Beta families arising from a v92 self map on S/(3,v81), 2021 Eva Belmont and Katsumi Shimomura
R-motivic stable stems, 2022 Eva Belmont and Daniel C. Isaksen
R-motivic v1-periodic homotopy, 2024 Eva Belmont, Daniel C. Isaksen and Hana Jia Kong
The reduced ring of the RO(C2-graded C2-equivariant stable stems, 2024 Eva Belmont, Zhouli Xu and Shangjie Zhang
Towards the p=3 Kervaire Invariant Problem: The E2-page for the homotopy fixed points spectral sequence computing π*(E6hC9) Eva Belmont and Rin Ray
Bredon homological stability for configuration spaces of G-manifolds, 2023 Eva Belmont, J.D. Quigley and Chase Vogeli
The unstable Adams spectral sequence for generalized homology, 1978 M. Bendersky, E.B. Curtis and H.R. Miller
Higher Semiadditive Algebraic K-Theory and Redshift, 2024 Shay Ben-Moshe and Tomer M. Schlank
Descent and Cyclotomic Redshift for Chromatically Localized Algebraic K-theory, 2024 Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank and Lior Yanovski
Naturality of the ∞-categorical enriched Yoneda embedding, 2024 Shay Ben-Moshe
Uniqueness and (∞, 2)-Naturality of Yoneda, 2024 Shay Ben-Moshe
Higher Semiadditivity in Transchromatic Homotopy Theory, 2024 Shay Ben-Moshe
The Redshift Bound from Quillen-Lichtenbaum, 2026 Shay Ben-Moshe
Chromatic Cardinalities via Redshift, 2024 Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank and Lior Yanovski
Chromatic Higher Semiadditivity by Height Induction, 2025 Shay Ben-Moshe
Categorical Ambidexterity, 2026 Shay Ben-Moshe
Groups, Representations and Cohomology Preprint Archive of Dave Benson
Axiomatic homotopy theory for operads, 2003 Clemens Berger and Ieke Moerdijk
The Boardman-Vogt resolution of operads in monoidal model categories, 2006 Clemens Berger and Ieke Moerdijk
Resolution of coloured operads and rectification of homotopy algebras, 2007 Clemens Berger and Ieke Moerdijk
On an extension of the notion of Reedy category, 2011 Clemens Berger and Ieke Moerdijk
ON THE HOMOTOPY THEORY OF ENRICHED CATEGORIES, 2013 Clemens Berger and Ieke Moerdijk
Eine Wanderung durch Rainer Vogt's mathematisches Schaffen, 2015 Clemens Berger
A model category structure on the category of simplicial categories, 2007 Julia Bergner  
Three models for the homotopy theory of homotopy theories, 2007 Julia Bergner  
A survey of (∞, 1)-categories, 2010 Julia Bergner  
Equivalence of models for equivariant (∞, 1)-categories, 2015 Julia Bergner  
Equivariant Trees and Partition Complexes, 2023 Julia Bergner, Peter Bonventre, Maxine E. Calle, David Chan, and Maru Sarazola
THH and traces of enriched categories, 2019 John D. Berman  
Higher Lawvere theories, 2019 John D. Berman  
Enriched infinity categories I: enriched presheaves, 2020 John D. Berman  
On lax limits in infinity categories, 2020 John D. Berman  
Th�orie de Dieudonn� cristalline. I., 1979 Pierre Berthelot and William Messing
Th�orie de Dieudonn� cristalline. II., 1982 Pierre Berthelot, Lawrence Breen, and William Messing
The pro-étale topology for schemes, 2014 Bhargav Bhatt and Peter Scholze  
Perfectoid Spaces
Lectures from the 2017 Arizona Winter School, 2019 		Bhargav Bhatt,Ana Caraiani, Kiran S. Kedlaya, and Jared Weinstein with an introduction by Peter Scholze,
Bryden Cais, Editor
Integral p-adic Hodge theory, 2018 Bhargav Bhatt, Matthew Morrow and Peter Scholze  
Topological Hochschild homology and integral p-adic Hodge theory, 2019 Bhargav Bhatt, Matthew Morrow and Peter Scholze  
Prisms and prismatic cohomology, 2019 Bhargav Bhatt and Peter Scholze  
Remarks on K(1)-local K-theory, 2020 Bhargav Bhatt, Dustin Clausen and Akhil Mathew  
Algebraic geometry in mixed characteristic, 2021 Bhargav Bhatt
Absolute prismatic cohomology, 2022 Bhargav Bhatt and Jacob Lurie  
Higher Associativity of Moore spectra, 2020 Prasit Bhattacharya
The P12 Margolis homology of connective topological modular forms., 2020 Prasit Bhattacharya, Irina Bobkova and Brian Thomas
On the EO-orientibility of vector bundles, 2020 Prasit Bhattacharya and Hood Chatham
A class of 2-local finite spectra which admit a v2^1-self-map , 2020 Prasit Bhattacharya and Philip Egger
Towards the K(2)-local homotopy groups of Z , 2020 Prasit Bhattacharya and Philip Egger
On the periodic v2-self-map of A1, 2016 Prasit Bhattacharya, Philip Egger and Mark Mahowald
An R-motivic v1-self-map of periodicity 1, 2020 Prasit Bhattacharya, Bertrand Guillou and Ang Li
On realizations of the subalgebra AR(1) of the R-motivic Steenrod algebra, 2021 Prasit Bhattacharya, Bertrand Guillou and Ang Li
On the Steenrod module structure of R-motivic Spanier-Whitehead duals, 2023 Prasit Bhattacharya, Bertrand Guillou and Ang Li
The p-local Adams conjecture and higher associative structure of Moore spectra, 2020 Prasit Bhattacharya and Nitu Kitchloo
The stable Adams conjecture and higher associative structure of Moore spectra, 2020. Retraction, 2025. Prasit Bhattacharya and Nitu Kitchloo
The stable Picard groups of A(2), 2020 Prasit Bhattacharya and Nicolas Ricka
Equivariant orientation of vector bundles over disconnected base spaces, 2023 Prasit Bhattacharya and Foling Zou
New infinite families in the stable homotopy groups of spheres, 2024 Prasit Bhattacharya,Irina Bobkova and J.D. Quigley
Equivariant Steenrod operations, 2025 Prasit Bhattacharya, , A Waugh, M Zeng, and F Zou
Notes on Commutation of Limits and Colimits, 2015 Marie Bjerrum, Peter Johnstone, Tom Leinster and William F. Sawin
New model categories from old, 1996 David Blanc
A characterization of the spectral Lie operad, , 2026 Max Blans and Gijs Heuts
Algebraic K-theory and crystalline cohomology, 1977 Spencer Bloch
Papers of Andrew Blumberg
Continuous functors as a model of the equivariant stable category , 2006 Andrew Blumberg
Topological Hochschild homology of Thom spectra and the free loop space, 2010 Andrew Blumberg, Ralph L Cohen and Christian Schlichtkrull
Topological Hochschild homology of Thom spectra which are E∞-ring spectra, 2010 Andrew Blumberg
A universal characterization of higher algebraic K-theory, 2013 Andrew Blumberg, David Gepner and Gonçalo Tabuada
Uniqueness of the multiplicative cyclotomic trace, 2014 Andrew Blumberg, David Gepner and Gonçalo Tabuada
Operadic multiplications in equivariant spectra, norms, and transfers, 2014. Published version, 2015. Andrew Blumberg and Michael Hill  
Incomplete Tambara functors, 2016. Andrew Blumberg and Michael Hill  
The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors, 2018 Andrew Blumberg and Michael Hill  
The localization sequence for the algebraic K-theory of topological K-theory, 2008. Andrew Blumberg and Michael Mandell 
Algebraic K-theory and abstract homotopy theory, 2011. Andrew Blumberg and Michael Mandell 
Derived Koszul duality and involutions in the algebraic K-theory of spaces, 2011. Andrew Blumberg and Michael Mandell 
Localization theorems in topological Hochschild homology and topological cyclic homology, 2012. Andrew Blumberg and Michael Mandell 
The homotopy theory of cyclotomic spectra, 2015. Andrew Blumberg and Michael Mandell 
The homotopy groups of the algebraic K-theory of the sphere spectrum , 2019. Andrew Blumberg and Michael Mandell 
Localization for THH(ku) and the topological Hochschild and cyclic homology of Waldhausen categories, 2020. Andrew Blumberg and Michael Mandell 
The homotopy theory of cyclotomic spectra, 10 years later, 2024. Andrew Blumberg and Michael Mandell 
The Strong K�nneth Theorem for Topological Periodic Cyclic Homology, 2024 Andrew Blumberg and Michael Mandell 
Homotopical resolutions associated to deformable adjunctions, 2014 Andrew Blumberg and Emily Riehl  
The Burnside category (Course on equivariant homotopy theory), 2017 Andrew Blumberg
Norms for compact Lie groups in equivariant stable homotopy theory, 2022 Andrew Blumberg, Mike Hill and Michael Mandell  
Stable Categories and Structured Ring Spectra (Amazon link), 2022. This book includes the following chapters: Edited by Andrew Blumberg, Teena Gerhardt and Mike Hill
Relative cyclotomic structures and equivariant complex cobordism, 2023 Andrew J. Blumberg, Michael A. Mandell, and A Yuan
Chromatic convergence for the algebraic K-theory of the sphere spectrum, 2021 Andrew J. Blumberg, Michael A. Mandell, and A Yuan
A version of Waldhausen’s chromatic convergence for TC, 2021 Andrew J. Blumberg, Michael A. Mandell, and A Yuan
Homotopical Combinatorics, 2024 Andrew J. Blumberg, Michael A. Hill, Kyle Ormsby, Angelica M. Osorno, and Constanze Roitzheim
Homotopy Everything H-Spaces, 1968 J. Michael Boardman (1938-2021) and Rainer M. Vogt (1942-2015)
Homotopy Invariant Algebraic Structures on Topological Spaces, 1973 J. Michael Boardman and Rainer M. Vogt
The eightfold way to BP operations or E*E and all that, 1982 J. Michael Boardman
Unstable Operations in Generalized Cohomology, 1995 J. Michael Boardman, David Copeland Johnson and W. Stephen Wilson
Conditionally Convergent Spectral Sequences, 1999 J. Michael Boardman
Topological resolutions in K(2)-local homotopy theory at the prime 2, 2018 Irina Bobkova and Paul G. Goerss
Bounding the K(p-1)-local exotic Picard group at p>3, 2024 Irina Bobkova, Andrea Lachmann, Ang Li, Alicia Lima, Vesna Stojanoska and Adela YiYu Zhang
A Cohomological Obstruction to Weak Approximation for Homogeneous Spaces, 2011 Mikhail Borovoi and Tomer M. Schlank
New simple η-torsion families of elements in the stable stems, 2024 Irina Bobkova and J.D. Quigley
A comparison of norm maps, 2014 Anna Marie Bohmann  
Global orthogonal spectra, 2014 Anna Marie Bohmann  
Constructing equivariant spectra via categorical mackey functors, 2014 Anna Marie Bohmann and Angelica M. Osorno  
A Model Structure on GCat, 2015 Anna Marie Bohmann, Kristen Mazur, Angelica M. Osorno, Viktoriya Ozornova, Kate Ponto, and Carolyn Yarnall  
Naive-commutative structure on rational equivariant K-theory for abelian groups, 2019 Anna Marie Bohmann, Christy Hazel, Jocelyne Ishak, Magdalena Kędziorek, and Clover May  
Assembly and Morita invariance in the algebraic K-theory of Lawvere theories, 2020 Anna Marie Bohmann and Markus Szymik
Multiplicativity of the idempotent splittings of the Burnside ring and the G-sphere spectrum, 2019 Benjamin Böhme
Topological Hochschild homology, unpublished 1985 Marcel Bökstedt
The topological Hochschild homology of Z and Z/p, unpublished 1985 Marcel Bökstedt
The natural transformation from K(Z) to THH(Z), unpublished 1985? Marcel Bökstedt
The cyclotomic trace and algebraic K-theory of spaces, 1993 Marcel Bökstedt, Wu-Chung Hsiang and Ib Madsen
Topological cyclic homology of the integers, 1994 Marcel Bökstedt and Ib Madsen
Algebraic K-theory of local number fields: the unramified case, 1995 Marcel Bökstedt and Ib Madsen
On the algebraic K -theory of simply connected spaces, 1996 Marcel Bökstedt, Gunnar Carlsson, Ralph Cohen, Tom Goodwillie, Wu-Chung Hsiang and Ib Madsen
On cyclic fixed points of spectra, 2013 Marcel Bökstedt, Bob Bruner, Sverre Lunøe-Nielsen and John Rognes 
Enhanced triangulated categories, 1990 A. I. Bondal and Mikhail Kapranov
Equivariant dendroidal Segal spaces and G-∞-operads, 2020 Peter Bonventre and Luis A Pereira
Sur la cohomologie des espaces fibres principaux et des espaces homogenes de groupes de Lie compacts, 1953 Armand Borel
The Stable Homotopy of the Classical Groups, 1959 Raoul Bott, 1923-2005
The Periodicity Theorem For The Classical Groups And Some Of Its Applications, 1970 Raoul Bott
Symmetries of exotic spheres via complex and quaternionic Mahowald invariants, 2023 Boris Botvinnik and J.D. Quigley
Bisets and associated functors, Green functors and Mackey functors, available online Serge Bouc  
The mod-p lower central series and the Adams spectral sequence, 1966, the six author paper A. K. Bousfield (1941-2020), E. B. Curtis, D. M. Kan (1927-2013), D. G. Quillen (1940-2011), D. L. Rector and J. W. Schlesinger 
A spectral sequence for the homotopy of nice spaces, 1970. A. K. Bousfield and E. B. Curtis 
The homotopy spectral sequence of coefficients in a ring, 1972 A. K. Bousfield and D. M. Kan 
Homotopy limits, Completions and Localizations, 1972, the YELLOW MONSTER A. K. Bousfield and D. M. Kan 
The localization of spaces with respect to homology, 1975 A. K. Bousfield 
Constructions of factorization systems in categories, 1977 A. K. Bousfield 
Homotopy theory of Γ-spaces, spectra, and bisimplicial sets, 1978 A. K. Bousfield and E. M. Friedlander 
The localization of spectra with respect to homology, 1979 A. K. Bousfield 
The Boolean algebra o| spectra, 1979 A. K. Bousfield 
Uniqueness of infinite deloopings for K-theoretic spaces, 1987 A. K. Bousfield 
Unstable localization and periodicity, 1996 A. K. Bousfield 
On K(n)-equivalences of spaces, 1999 A. K. Bousfield 
On the telescopic homotopy theory of spaces, 2001 A. K. Bousfield 
Cosimplicial resolutions and homotopy spectral sequences in model categories, 2003 A. K. Bousfield 
The Lubin-Tate theory of spectral Lie algebras, 2017 Lukas Brantner
The Lubin-Tate Theory of Configuration Spaces: I, 2020 Lukas Brantner, Jeremy Hahn and Ben Knudsen
The vn-periodic Goodwillie Tower on Wedges and Cofibres , 2019 Lukas Brantner and Gijs Heuts
Deformation Theory and Partition Lie Algebras , 2019 Lukas Brantner and Akhil Mathew
K-theory of infinity categories , 2020 Thomas Brazleton
Equivariant cohomology theories, 3 page summary 1967 Glen Bredon, 1932-2000 
Equivariant cohomology theories, 1967 Glen Bredon 
Topology and Geometry, 1993, 85MB.
Private copy, 49MB. 		Glen Bredon 
Boardman-Vogt tensor products of absolutely free operads, 2020 Murray Bremner and Vladimir Dotsenko
The Kervaire invariant of framed manifolds and its generalization, 1969 William Browder 1934-2025
Generalizations of the Kervaire invariant Edgar H. Brown, Jr., 1926-2021
The Kervaire invariant of 8k + 2-manifolds Edgar H. Brown, Jr. and Franklin P. Peterson, 1929-2000 
A spectrum whose zp cohomology is the algebra of reduced pth powers Edgar H. Brown, Jr. and Franklin P. Peterson 
Abstract homotopy theory and generalized sheaf cohomology, 1974 Ken Brown
From groups to groupoids: a brief survey, 1987 Ronald Brown
TOPOLOGY AND GROUPOIDS: A Geometric Account of General Topology, Homotopy Types and the Fundamental Groupoid, 2006 Ronald Brown
On the homotopy groups of BPL and PL/O, 1967 Greg Brumfiel 
Witt Vectors and Equivariant Ring Spectra, 2004 Morten Brun
Filtered topological cyclic homology and relative K-theory of nilpotent ideals, 2001 Morten Brun
Witt Vectors and Tambara functors, 2004 Morten Brun
On the multiplicative structure of topological Hochschild homology, 2007 Morten Brun, Zbigniew Fiedorowicz and Rainer M. Vogt
Covering homology, 2010 Morten Brun, Gunnar Carlsson and Bjorn Dundas
Equivariant structure on smash powers, 2016
2022 edition 		Morten Brun, Bjorn Dundas and Martin Stolz 
Resolutions of four modules over the algebra A(1) Robert R. Bruner  
H∞ ring spectra and their applications R. R. Bruner, J. P. May, J. E. McClure and M. Steinberger 
Differentials in the homological homotopy fixed point spectral sequence, 2004 Robert R. Bruner and John Rognes 
The cohomology of the mod 2 Steenrod algebra, 2021 Robert R. Bruner and John Rognes 
The local cohomology spectral sequence for topological modular forms, 2020 R Bruner, JPC Greenlees and J. Rognes
Dieudonné modules and p-divisible groups associated with Morava K-theory of Eilenberg-Mac Lane spaces, 2006 Victor Buchstaber and Andrey Lazarev 
Chern-Dold character in complex cobordisms and theta divisors, 2020 Victor Buchstaber and Alexander Veselov
Finite subgroups of extended Morava stabilizer groups, 2012 Cedric Bujard
Power maps and epicyclic spaces, 1994 D. Burghelea, Z. Fiedorowicz and W. Gajda
An extension in the Adams spectral sequence in dimension 54, 2020 Robert Burklund
Some aspects of noncommutative geometry , 2021 Robert Burklund and Ishan Levy
On the K-theory of regular coconnective rings, 2023 Robert Burklund and Ishan Levy
On the boundaries of highly connected, almost closed manifolds, 2019 Robert Burklund, Jeremy Hahn, and Andrew Senger
Galois reconstruction of Artin-Tate R-motivic spectra, 2020 Robert Burklund, Jeremy Hahn, and Andrew Senger
Inertia groups in the metastable range, 2020 Robert Burklund, Jeremy Hahn, and Andrew Senger
The chromatic Nullstellensatz, 2022 Robert Burklund, Tomer M. Schlank and Allen Yuan
Multiplicative structures on Moore spectra, 2022 Robert Burklund
Synthetic Cookware, 2022. Book draft (v0.2). Robert Burklund
Adams-type maps are not stable under composition, 2022 Robert Burklund, Ishan Levy and Piotr Pstragowski
The Adams differentials on the classes hj 3, 2023 Robert Burklund and Zhouli Xu
K-theoretic counterexamples to Ravenel´s telescope conjecture, 2023 Robert Burklund, Jeremey Hahn, Ishan Levy, and Tomer Schlank
Arbeitsgemeinschaft: Algebraic K-Theory and the Telescope Conjecture, 2025
Report of MFO meeting of 13-18October, 2024		 Organized by Robert Burklund, Jeremey Hahn, Ishan Levy, and Tomer Schlank
Classical stable homotopy groups of spheres via F2-synthetic methods, 2024 Robert Burklund, Daniel C. Isaksen and Zhouli Xu
Quivers and the Adams spectral sequence, 2025 Robert Burklund and Piotr Pstragowski
Theory of groups of finite order, 1897 (fully digitized, 4MB)
Theory of groups of finite order, 1911 (scanned and searchable, 44MB)
This second edition introduces the Burnside ring.
See also University of Hong Kong scan		 William Burnside, 1852-1927 
What You Should Know About Integer-Valued Polynomials, 2016 Paul-Jean Cahen and Jean-Luc Chabert
The spectrum of the Burnside Tambara functor, 2025 Maxine Elena Calle, David Chan, David Mehrle, J.D. Quigley, Ben Spitz and Danika Van Niel
Hermitian K-theory for stable ∞-categories I: Foundations, 2023 Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus and Wolfgang Steimle
Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity, 2025 Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus and Wolfgang Steimle
Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings, 2026 Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus and Wolfgang Steimle
Spectral Waldhausen categorties, the S-dot construction, and the Dennis trace, 2020 Jonathan A. Campbell, John A. Lind, Cary Malkiewich, Kate Ponto and Inna Zakharevich
K-theory of endomorphisms, the TR-trace, and zeta functions, 2020 Jonathan A. Campbell, John A. Lind, Cary Malkiewich, Kate Ponto and Inna Zakharevich
The homotopy of the KU_G-local equivariant sphere spectrum, 2023 Tanner N. Carawan, Rebecca Field, Bertrand J. Guillou, David Mehrle and Nathaniel J. Stapleton
Cobordism of G-manifolds, 2024 Jack Carlisle
The unramified inverse Galois problem and cohomology rings of totally imaginary number fields, 2017 Magnus Carlson, Tomer M. Schlank
Equivariant stable homotopy and Segal´s Burnside ring conjecture, 1984 Gunnar Carlsson 
A survey of equivariant stable homotopy theory, 1992 Gunnar Carlsson 
Derived completions in stable homotopy theory, 2008 Gunnar Carlsson 
Higher topological cyclic homology and the Segal conjecture for tori, 2011 Gunnar Carlsson, Christopher L. Douglas and Bj�rn Ian Dundas
On the Strict Picard Spectrum of Commutative Ring Spectra, 2023 Shachar Carmeli
Ambidexterity in T(n)-local stable homotopy theory, 2018
Ambidexterity in chromatic homotopy theory, published version of 2022, without the artwork		 Shachar Carmeli, Tomer M. Schlank, and Lior Yanovski
Ambidexterity and Height, 2020
Published version, 2021, also without the artwork		 Shachar Carmeli, Tomer M. Schlank, and Lior Yanovski
Chromatic Cyclotomic Extensions, 2024 Shachar Carmeli, Tomer M. Schlank, and Lior Yanovski
Maps between spherical group rings, 2024 Shachar Carmeli, Thomas Nikolaus, and Allen Yuan
Higher semiadditive Grothendieck-Witt theory and the K(1)-local sphere, 2021 Shachar Carmeli and Allen Yuan
Characters and transfer maps via categorified traces, 2022 Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi, and Lior Yanovski
On the Non-Existence of J-Homomorphisms of Higher Height, 2023 Shachar Carmeli
The Spectrum of Units of Algebraic K-theory, 2024 Shachar Carmeli and Kiran Luecke
Tate-valued Characteristic Classes, 2025 Shachar Carmeli and Kiran Luecke
Tate-valued Characteristic Classes II: Applications, 2025 Shachar Carmeli and Kiran Luecke
Cyclotomic Redshift Slides for seminar talk of 1/18/24 Shachar Carmeli
Smashing Localizations in Equivariant Stable Homotopy, 2020 Christian Carrick
Cofreeness in Real Bordism Theory and the Segal Conjecture, 2021 Christian Carrick
A synthetic approach to detecting v_1 periodic families, 2024 Christian Carrick and Jack Davies
Chromatic defect, Wood’s theorem, and higher real K-theories, 2024 Christian Carrick
Descent spectral sequences through synthetic spectra, 2024 Christian Carrick, Jack Davies, and Sven van Nigtevecht
The descent spectral sequence for topological modular forms, 2024 Christian Carrick, Jack Davies, and Sven van Nigtevecht
Nonvanishing of products in v_2 periodic families at the prime 3, 2024 Christian Carrick and Jack Davies
On MU homology of connective models of higher real K-theories, 2024 Christian Carrick and Mike Hill
The descent spectral sequence for topological modular forms, 2024 Christian Carrick, Jack Davies, and Sven van Nigtevecht
On periodic families in the stable stems of height two, 2025 Christian Carrick and Jack Davies
On higher real K-theories and finite spectra, 2025 Christian Carrick and Mike Hill
Slice spectral sequences through synthetic spectra, 2025 Christian Carrick
The Real Brown--Peterson homology of ΩρSρ+1, 2026 Christian Carrick, Bert Guillou, and Sarah Petersen
Operations in equivariant Z/p-cohomology, 1999 Jeffrey L. Caruso
An introduction to p-adic period rings, 2019 Xavier Caruso
Homological algebra, 1956 Henri Cartan and Samuel Eilenberg
On saturated classes of morphisms, 2000 Carles Casacuberta and Armin Frei
Homotopical localizations of module spectra, 2005 Carles Casacuberta and Javier J. Gutierrez
Many non-equivalent realizations of the associahedron, 2015 Cesar Ceballos, Francisco Santos and G�nter M. Ziegler
Purity for flat cohomology , 2023 Kestutis Cesnavicius and Peter Scholze
Notes on Cartier-Dieudonné Theory, 2004 Ching-Li Chai
The algebraic K-theory of Green functors, 2025 David Chan and Noah Wisdom
Trace methods for equivariant algebraic K-theory, 2025 David Chan, Teena Gerhardt and Inbar Klang
On the Tambara affine line, 2024 David Chan, David Mehrle, J.D. Quigley, Ben Spitz and Danika Van Niel
An Orientation Map for Height p-1 Real E Theory, 2019 Hood Chatham
Thom Complexes and the Spectrum tmf, 2019 Hood Chatham
Wilson Spaces, Snaith Constructions, and Elliptic Orientations, 2024 Hood Chatham, Jeremy Hahn and Allen Yuan
The equivariant cohomology for semidirect product actions, 2020 Sergio Chaves
The quotient criterion for syzygies in equivariant cohomology for elementary abelian 2-group actions, 2020 Sergio Chaves
The geometric Langlands functor II: equivalence on the Eisenstein part (this paper is in the process of being split into two: GLC-II and GLC-III), 2024 LIN CHEN, DENNIS GAITSGORY, and Sam Raskin
Higher-Dimensional Categories: an illustrated guide book, 2004 Eugenia Cheng and Aaron Lauda
Cohomology theory of Lie groups and lie algebras, 1948 Claude Chevalley and Samuel Eilenberg
Bar constructions for topological operads and the Goodwillie derivatives of the identity, 2005 Michael Ching
Infinity-operads and Day convolution in Goodwillie calculus, 2021 Michael Ching
Homology of the double and triple loop space of SO(n), 1996 Younggi Choi
Homology of the double loop space of the homogeneous space SU(n)/SO(n), 2001 Younggi Choi
On homological real trace methods, 2026 Myungsin Cho, Teena Gerhardt, Liam Keenan, Juan C. Moreno, and J. D. Quigley
Higher Toda brackets and the Adams spectral sequence in triangulated categories, 2017 J. Daniel Christensen and Martin Frankland
Quillen model structures for relative homological algebra, 2013 J. Daniel Christensen and Mark Hovey
Model category structures and spectral sequences, 2018 Joana Cirici, Daniela Egas Santander, Muriel Livernet and Sarah Whitehouse
Free algebras through Day convolution, 2021 Hongyi Chu and Rune Haugseng
Les pr�faisceaux comme mod�les des types d’homotopie, 2006 Denis-Charles Cisinski
Dendroidal Segal spaces and ∞-operads, 2013 Denis-Charles Cisinski and Ieke Moerdijk
Dendroidal sets and simplicial operads, 2013 Denis-Charles Cisinski and Ieke Moerdijk
Higher Categories and Homotopical Algebra, 2021 Denis-Charles Cisinski
Synthetic Category Theory (previously: Formalization of Higher Categories), book project, in progress, 2026 Denis-Charles Cisinski, Bastiaan Cnossen, Kim Nguyen and Tashi Walde
p-adic J-homomorphisms and a product formula, 2012 Dustin Clausen
A K-theoretic approach to Artin maps, 2017 Dustin Clausen
K-theory and topological cyclic homology of Henselian pairs, 2018 Dustin Clausen, Akhil Mathew and Matthew Morrow
A short proof of telescopic Tate vanishing, 2017 Dustin Clausen and Akhil Mathew
Hyperdescent and etale K-theory, 2021 Dustin Clausen and Akhil Mathew
Descent and vanishing in chromatic algebraic K-theory via group actions, 2024 Dustin Clausen, Akhil Mathew, Niko Naumann and Justin Noel
Descent in algebraic K-theory and a conjecture of Ausoni-Rognes, 2020 Dustin Clausen, Akhil Mathew, Niko Naumann and Justin Noel
Copenhagen Masterclass in Condensed Mathematics, November 9-13, 2020. Videos
Monday morning notes by Scholze
Monday afternoon notes by Clausen
Tuesday morning notes by Scholze
Tuesday afternoon notes by Clausen
Tuesday afternoon notes by Hesselholt
Wednesday morning notes by Scholze
Wednesday afternoon notes by Clausen
 Dustin Clausen and Peter Scholze
Global spaces and the homotopy theory of stacks, 2024 Adrian Clough, Bastiaan Cnossen and Sil Linskens
Homotopical commutative rings and bispans, 2024 Bastiaan Cnossen, Rune Haugseng, Tobias Lenz and Sil Linskens
Normed equivariant ring spectra and higher Tambara functors, 2024 Bastiaan Cnossen, Rune Haugseng, Tobias Lenz and Sil Linskens
Twisted ambidexterity in equivariant homotopy theory, 2023 Bastiaan Cnossen
Parametrized (higher) semiadditivity and the universality of spans, 2024 Bastiaan Cnossen, Tobias Lenz and Sil Linskens
Partial parametrized presentability and the universal property of equivariant spectra, 2024 Bastiaan Cnossen, Tobias Lenz and Sil Linskens
The Adams isomorphism revisited, 2024 Bastiaan Cnossen, Tobias Lenz and Sil Linskens
Parametrized stability and the universal property of global spectra, 2025 Bastiaan Cnossen, Tobias Lenz and Sil Linskens
Universality of span 2-categories and the construction of 6-functor formalisms, 2025 Bastiaan Cnossen, Tobias Lenz and Sil Linskens
Universality of Barwick’s unfurling construction, 2025 Bastiaan Cnossen, Tobias Lenz and Maxime Ramzi
Homology of Ωn + 1 Σn + 1 X and Cn + 1 X, n > 0, 1973 Frederick R. Cohen, 1945-2022
The Homology of Iterated Loop Spaces, 1976 Frederick R. Cohen, Thomas J. Lada and J. Peter May
A combinatorial approach to the exponents of Moore spaces, 2018 Frederick R. Cohen, Roman Mikhailov and Jie Wu
Brauer and Etale Homotopy Obstructions to Rational Points on Open Covers, 2020 David A. Corwin and Tomer M. Schlank
The Kervaire invariant of immersions R.L. Cohen, J.D.S. Jones, and M.E. Mahowald  
The Relation of Cobordism to K-Theories, 1966 Pierre E. Conner and E. E. Floyd 
Cohomologie cyclique et foncteurs Extm, 1983 Alain Connes
Noncommutative Geometry, 1994 Alain Connes
Cyclic Cohomology at 40: achievements and future prospects, 2021
External link to conference web page, which has links to videos of all the talks.
The virtual meeting was hosted by the Fields Institute in Toronto on September 27 - October 1, 2021.
Ebook link. 		Alain Connes et al
MFO Report on Non-Commutative Geometry and Cyclic Homology workshop, 31 July - 06 August, 2022 Alain Connes, Ryszard Nest, Thomas Nikolaus, and Guoliang Yu
Sur la notion de diagramme homotopiquement coheacuterent, 1982 Jean-Marc Cordier  
Vogt’s theorem on categories of homotopy coherent diagrams, 1986 Jean-Marc Cordier and Timothy Porter  
On the image of the total power operation for Burnside rings, 2024 Nathan Cornelius, Lewis Dominguez, David Mehrle, Lakshay Modi, Millie Rose, and Nathaniel Stapleton
The equivariant Conner-Floyd isomorphism, 1987 Steven R. Costenoble  
Fixed-set systems of equivariant infinite loop spaces, 1991 S.R. Costenoble and S. Waner  
Algebraic theories and (∞, 1)-categories, 2010 James Donald Cranch
Algebraic theories, span diagrams and commutative monoids in homotopy theory, 2011 James Donald Cranch
Quillen closed model structures for sheaves, 1995 Sjoerd E. Crans  
On Conjugation Invariants in the Dual Steenrod Algebra, 2000 M. D. Crossley and Sarah Whitehouse  
Normed Spaces and the Change of Base for Enriched Categories, 2008 G.S.H. Cruttwell  
On BP⟨2⟩-cooperations, 2016 Dominic Leon Culver  
THe Adams spectral sequence for 3-local tmf, 2019 D. CULVER  
kq-resolutions I, 2019 Dominic Leon Culver and J.D. Quigley  
Algebraic slice spectral sequences, 2020 Dominic Culver, Hana Jia Kong and J.D. Quigley  
Simplicial Homotopy Theory 1971 Edward B. Curtis  
Calculations of Unstable Adams E2 Terms for Spheres, 1987 Edward B. Curtis, Paul Goerss, Mark Mahowald, and R. James Milgram  
Rational Motivic Path Spaces and Kim’s Relative Unipotent Section Conjecture, 2022 Ishai Dan-Cohen and Tomer Schlank
Morphisms of Rational Motivic Homotopy Types, 2020 Ishai Dan-Cohen and Tomer Schlank
On Lurie’s theorem and applications Jack Morgan Davies
The Hilbert Polynomial of Quandles and Colorings of Random Links, 2023 Ariel Davis and Tomer M. Schlank
Arithmetic Kei Theory, 2024 Ariel Davis and Tomer M. Schlank
Every K(n)-local spectrum is the homotopy
fixed points of its Morava module 		Daniel G. Davis and Takeshi Torii 
The spectrum (P∧ bo)∞, 1984 Donald M. Davis and Mark Mahowald 
Connective Versions of TMF(3), 2010 Donald M. Davis and Mark Mahowald 
The mod-2 connected KU-homology of the Eilenberg-MacLane space K(Z2,2), 2021 Donald M. Davis and W. Stephen Wilson
The mod-2 connected KU-homology of the Eilenberg-MacLane space K(Zp,2), 2023 Donald M. Davis and W. Stephen Wilson
Spaces over a Category and Assembly Maps in Isomorphism Conjectures in K- and L-Theory, 1998 James F. Davis and Wolfgang Lück
Construction of biclosed categories, 1970 Brian J. Day, 1945-2012
On closed categories of functors, 1970 Brian J. Day
The Homotopy Hypothesis, 2019 Gian Deflorin
Motivic homotopy theory and stable homotopy groups [after Morel-Voevodsky, Isaksen-Wang-Xu,...], 2025 Frediric Deglise
Very effective algebraic and hermitian K-theory of the cyclic group of order two, 2025 Prerna Dhankhar, Rebecca Field, Arjun Nigam, J.D. Quigley, and Albert Jinghui Yang
Proper Equivariant Stable Homotopy Theory, 2019 Dieter Degrijse, Markus Hausmann, Wolfgang Lück, Irakli Patchkoria, and Stefan Schwede
Lectures on p-Divisible Groups, 1972 Michel Demazure
p-adic period map for the moduli space of deformations of a formal group Oleg Demchenko and Alexander Gurevich 
The Morava K-theory of Eilenberg-MacLane spaces, 2018 Sanath K. Devalapurkar
The Ando-Hopkins-Rezk orientation is surjective, 2019 Sanath K. Devalapurkar
On the James and Hilton-Milnor Splittings, and the metastable EHP sequence, 2019 Sanath K. Devalapurkar and Peter Haine
Roots of unity in K(n)-local rings, 2019 Sanath K. Devalapurkar
Higher chromatic Thom spectra via unstable homotopy theory, 2024 Sanath K. Devalapurkar
THH(Z) and the image of J, 2025 Sanath K. Devalapurkar and Arpon Raksit
Nilpotence and stable homotopy theory. I, 1988 Ethan S. Devinatz, Michael J. Hopkins, and Jeffrey H. Smith
Small ring spectra, 1992 Ethan S. Devinatz
The Action of the Morava Stabilizer Group on the Lubin-Tate Moduli Space of Lifts, 1995
AI version with hyperlinks compiled by Lippus Liu 2026		 Ethan S. Devinatz and Michael J. Hopkins
Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups, 2004 Ethan S. Devinatz and Michael J. Hopkins
Bordism of G-manifolds and integrality theorems, 1970 Tammo tom Dieck
Transformation Groups and Representation Theory, 1979 Tammo tom Dieck
Analytic Pro-P Groups, 2003 J.D. Dixon, M.P.F. Du Sautoy, A. Mann and D. Segal
Homologie nicht-additiver Funktoren. Anwendungen, 1961 Albrecht Dold and Dieter Puppe
Duality, trace and transfer, 1980 Albrecht Dold and Dieter Puppe
Homotopy theory of G-diagrams and equivariant excision, 2016 Emanuele Dotto and Kristian Moi
Real topological Hochschild homology, 2017 Emanuele Dotto, Kristian Moi, Irakli Patchkoria and Sune Precht-Reeh
Witt Vectors, Polynomial Maps, and Real Topological Hochschild Homology, 2019 Emanuele Dotto, Kristian Moi and Irakli Patchkoria
On the geometric fixed points of real topological cyclic homology, 2021 Emanuele Dotto, Kristian Moi and Irakli Patchkoria
Comparing cyclotomic structures on different models for topological Hochschild homology, 2019 Emanuele Dotto, Cary Malkiewich, Irakli Patchkoria, Steffen Sagave, and Calvin Woo
Higher equivariant excision, 2017 Emanuele Dotto
Witt vectors with coefficients and TR, 2025 Emanuele Dotto, Achim Krause, Thomas Nikolaus and Irakli Patchkoria
Witt vectors with coefficients and characteristic polynomials over non-commutative rings, 2020 Emanuele Dotto, Achim Krause, Thomas Nikolaus and Irakli Patchkoria
Topological Modular Forms, 2015 Christopher L. Douglas, John Francis, Andre G. Henriques, Michael A. Hill
A Characterisation of Solvable Groups, 1969 Andreas W. M. Dress
Contributions to the theory of induced representations, pp 183-240 of
Algebraic K-Theory II - "Classical" Algebraic K-Theory, and Connections with Arithmetic, Proceedings of the Conference held at the Seattle Research Center of the Battelle Memorial Institute, Aug. 28-Sept. 8, 1972		 Andreas W.M. Dress
Elliptic modules, 1974 Vladimir Drinfeld
Vanishing lines in chromatic homotopy theory, 2022 Zhipeng Duan, Guchuan Li and Xiaolin Danny Shi
Periodicity and finite complexity in higher real $ K $-theories, 2022 Zhipeng Duan, Mike Hill, Yutau Liu, Guchuan Li, Xiaolin Danny Shi, Guozhen Wang and Zhouli Xu
Computations of height 2 higher Real K-theory spectra at prime 2, 2022 Zhipeng Duan, Hana Jia Kong, Guchuan Li and Guozhen Wang
Papers of Dan Dugger
Replacing model categories with simplicial ones, 2001 Daniel Dugger
Universal Homotopy Theories, 2001 Daniel Dugger
Combinatorial Model Categories Have Presentations, 2001 Daniel Dugger
An Atiyah-Hirzebruch spectral sequence for KR-theory, 2003 Daniel Dugger
Notes on Delta-generated spaces, 2003 Daniel Dugger
Hypercovers and simplicial presheaves, 2004 Daniel Dugger, Sharon Hollander and Dan Isaksen
Spectral enrichments of model categories, 2006 Daniel Dugger
A primer on homotopy colimits, 2017 Daniel Dugger
Equivariant Z/ℓ-modules for the cyclic group C2, 2022 Daniel Dugger, Christy Hazel and Clover May
RO (G)-graded Bredon cohomology of Euclidean configuration spaces, 2024 Daniel Dugger and Christy Hazel
Mackey homological algebra over cyclic groups , 2026 Daniel Dugger and Christy Hazel
Topological hypercovers and 𝔸1-realizations, 2004 Daniel Dugger and Daniel C. Isaksen
The motivic Adams spectral sequence, 2010 Daniel Dugger and Daniel C. Isaksen
Motivic Hopf elements and relations, 2013 Daniel Dugger and Daniel C. Isaksen
Low dimensional milnor-witt stems over ℝ, 2015 Daniel Dugger and Daniel C. Isaksen
ℤ/2-equivariant and ℝ-motivic stable stems, 2017 Daniel Dugger and Daniel C. Isaksen
Enriched model categories and an application to additive endomorphism spectra, 2007 Daniel Dugger and Brooke Shipley
A curious example of triangulated-equivalent model categories which are not Quillen equivalent, 2007 Daniel Dugger and Brooke Shipley
The local structure of algebraic K-theory, 2013
2012 preprint 		Bjorn Ian Dundas, Thomas G. Goodwillie and Randy McCarthy
Stable K-theory and topological Hochschild homology, 1994
Erraturm Stable K-theory and topological Hochschild homology, 1995 		Bjorn Ian Dundas and Randy McCarthy
Topological Hochschild homology of ring functors and exact categories, 1996 Bjorn Ian Dundas and Randy McCarthy
Enriched Functors and Stable Homotopy Theory, 2003 Bjorn Ian Dundas, Oliver Röndigs , Paul Arne Østvær
Motivic Functors, 2003 Bjorn Ian Dundas, Oliver Röndigs, Paul Arne Østvær
Applications of topological cyclic homology to algebraic K-theory, 2023 Bjorn Ian Dundas
Hochschild homology of mod-p motivic cohomology over algebraically closed fields, 2023 Bjorn Ian Dundas, Michael A. Hill, Kyle Ormsby, and Paul Arne Østvær
Tensor product of operads and iterated loop spaces, 1988 Gerald Dunn
Algebraic Topology, Aarhus Denmark 1978, 1979
External link 		J. L. Dupont and I. H. Madsen
Simplicial matrices and the nerves of weak n-categories. I. Nerves of bicategories, 2002 John W. Duskin
Model Categories and More General Abstract Homotopy Theory:
A Work in What We Like to Think of as Progress, 1997 draft		 William G. Dwyer, Philip S. Hirschhorn and Daniel M. Kan, 1927-2013
Homotopy Limit Functors on Model Categories and Homotopical Categories, 2004 draft, the BLUE BEAST./font> William G. Dwyer, Philip S. Hirschhorn, Daniel M. Kan and Jeffrey H. Smith
Simplicial localizations of categories, 1980 W. G. Dwyer and D. M. Kan
Calculating simplicial localizations, 1980 W. G. Dwyer and D. M. Kan
Function complexes in homotopical algebra, 1980 W. G. Dwyer and D. M. Kan
A classification theorem for diagrams of simplicial sets, 1984 W. G. Dwyer and D. M. Kan
Singular functors and realization functors, 1984 W. G. Dwyer and D. M. Kan
Equivariant homotopy classification, 1985 W. G. Dwyer and D. M. Kan
The bigraded homotopy groups πi,jX of a pointed simplicial space X, 1993 W. G. Dwyer, D. M. Kan, and C. R. Stover
The homotopy theory of cyclic sets, 1985 W. G. Dwyer, M. J. Hopkins and D. M. Kan
Homotopy theories and model categories, 1995 W. G. Dwyer and J. Spalinski
Homotopy theory and classifying spaces,
Copenhagen lecture notes, 2008, 112 pages. Slides 		W. G. Dwyer
The Boardman-Vogt tensor product of operadic bimodules, 2014 W. G. Dwyer and Kathryn Hess
Codimension one immersions and the Kervaire invariant one problem Peter Eccles
Group-like structures in general categories I equalizers, limits, lengths, 1962 B. Eckmann and P. J. Hilton
Group-like structures in general categories II equalizers, limits, lengths, 1963 B. Eckmann and P. J. Hilton
Group-like structures in general categories III equalizers, limits, lengths, 1963 B. Eckmann and P. J. Hilton
Homotopy and homology groups of the n-dimensional Hawaiian earring, 2000 Katsuya Eda and Kazuhiro Kawamura
The singular homology of the Hawaiian earring, 2000 Katsuya Eda and Kazuhiro Kawamura
on the asphericity of one-point unions of cones, 2010 Katsuya Eda and Kazuhiro Kawamura
General Theory of Natural Equivalences, 1945. This is the paper where category theory was invented! Samuel Eilenberg (1913-1998) and Saunders Mac Lane (1909-2005)  
General Theory of Natural Equivalences, 1945. Samuel Eilenberg and Saunders Mac Lane  
Closed Categories, 1966. Samuel Eilenberg and G. Max Kelly (1939-2007) 
ADJOINT FUNCTORS and TRIPLES, 1965. Samuel Eilenberg and John C. Moore (1923-2016) 
Homology and fibrations. I. Coalgebras, cotensor product and its derived functors., 1966. Samuel Eilenberg and John C. Moore 
Automata in General Algebras, 1967. Samuel Eilenberg and Jesse B. Wright
Simultaneously reflective and coreflective subcategories of presheaves, 2002 Robert El Bashir and Jiri Velebil
Graphs arising from the dual Steenrod algebra, 2026 Connor Elliott, Courtney Hauf,Kai Morton, Sarah Petersen andd Leticia Schow
A descent view on Mitchell’s theorem, 2020 Elden Elmanto, Denis Nardin, and Lucy Yang
On distributivity in higher algebra i: the universal property of bispans, 2021 Elden Elmanto and Rune Haugsang
Scheiderer motives and equivariant higher topos theory, 2021 Elden Elmanto and Jay Shah
Systems of fixed point sets, 1983 A. D. Elmendorf 
Stabilization as a CW approximation, 1999 A. D. Elmendorf 
The Grassmannian geometry of spectra, 1988 A. D. Elmendorf 
Modern foundations for stable homotopy theory, 1995 A. D. Elmendorf, I. Kriz, and J. P. May 
Rings, modules, and algebras in stable homotopy theory, 1997
DJVU file This copy of the book includes Cole’s appendix on the twisted half smash product.		 A. D. Elmendorf, I. Kriz, Michael Mandell, and J. P. May 
Algebras over equivariant sphere spectra, 1997 A. D. Elmendorf and J. P May 
Filtrations in C-motivic stable homotopy theory, 2026 Konstantin Emming
A convenient category for directed homotopy, 2007 L. Fajstrup and J. Rosicky
A relation between two moduli spaces studied by V. G. Drinfeld, 2002 Gerd Faltings
L´ isomorphisme entre les tours de Lubin-Tate et de Drinfeld, 2008 Laurent Fargues, Alain Genestier, and Vincent Lafforgue
Normal Amenable Subgroups of the Automorphism Group of the Full Shift, 2017 Joshua Frisch, Tomer Schlank and Omer Tamuz
Courbes et fibres vectoriels en theorie de Hodge p-adique., 2018 Laurent Fargues et Jean-Marc Fontaine
Vector bundles on curves and p-adic Hodge theory, 2013 Laurent Fargues et Jean-Marc Fontaine
Geometrization of the local Langlands correspondence: an overview, 2016 Laurent Fargues
Geometrization of the local Langlands correspondence:, 2024 Laurent Fargues and Peter Scholze
Equivariant homotopy theory for pro--spectra , 2008 Halvard Fausk
Survey on the Burnside ring of compact Lie groups , 2008 Halvard Fausk
t-model structures, 2007 Halvard Fausk and Daniel C. Isaksen
The Picard group of equivariant stable homotopy theory, 2001 Halvard Fausk, L.G. Lewis, JR, and J.P. May
G-spectra of cyclic defect, 2023 Tony Feng, David Treumann and Allen Yuan
Non-connective delooping of K-theory of an A∞ ring space, 1990 Z. Fiedorowicz, R. Schwanzl, R. Steiner, and R. Vogt
Interchanging A∞ and En structures, 2011 Z. Fiedorowicz, and R. Vogt
An additivity theorem for the interchange of En structures, 2015 Z. Fiedorowicz, and R. Vogt
t-structures are normal torsion theories, 2014 Domenico Fiorenza and Fosco Loregian
Hearts and Postnikov towers in stable ∞-categories, 2015 Domenico Fiorenza, Fosco Loregian and Giovanni Marchetti
Groupes p-divisibles sur les corps locauxs , 2015 Jean-Marc Fontaine
Derived algebraic geometry over En-rings , 2008 John Francis
The tangent complex and Hochschild cohomology of En-rings , 2013 John Francis
Autour de la cohomologie de MacLane des corps finis , 1994 Vincent Franjou, Jean Lannes and Lionel Schwartz
On the Mac Lane cohomology for the ring of integers , 1998 Vincent Franjou and Teimuraz Pirashvili
Comparison of abelian categories recollements , 2004 Vincent Franjou and Teimuraz Pirashvili
On the Brown representability theorem for triangulated categories , 2001 Jens Franke
Kervaire invariant and Whitehead square, 2009 Martin Frankland
Reflection positivity and invertible topological phases, 2016 Daniel S. Freed and Michael J. Hopkins
Kummer Congruences and Formal Groups Margaret Freije 
The formal group of the Jacobian of an algebraic curve Margaret Freije 
Book Project: Homotopy of Operads and Grothendieck-Teichmüller Groups By Benoit Fresse, 2010
Homotopy of Operads and Grothendieck Teichm�ller Groups Part 1: The Algebraic Theory and its Topological Background, 2017 Benoit Fresse
Homotopy of Operads and Grothendieck Teichm�ller Groups, Part 2: Part 2: The Applications of (Rational) Homotopy Theory Methods, 2017 Benoit Fresse
The infinite loop Adams conjecture via classification theorems for F-spaces, 1980 Eric Friedlander
Handbook of K-theory , 2005,s with pdf files for each chapter. Eric Friedlander and Daniel Grayson
Survey article: an elementary illustrated introduction to simplicial sets, 2012 (2011 preprint) Greg Friedman 
Formal groups, 1968 A. Fröhlich
Categories of continuous functors, I, 1972 P.J. Fryd and G.M. Kelly 
Cobordism theory with reality, 1976 Michikazu Fujii
Algebraic curves: An Introduction to Algebraic Geometry, 1969, third edition 2008 William Fulton
Lokal präsentierbare Kategorien, 1971 Peter Gabriel and Friedrich Ulmer
Calculus of fractions and homotopy theory, 1967 Peter Gabriel and Michel Zisman
Weil’s Conjecture for Function Fields I, 2018) Dennis Gaitsgory and Jacob Lurie
Geometric Lamglands Conjecture I: Construction of the functor, 2024 Dennis Gaitsgory and Sam Raskin
Geometric Lamglands Conjecture V: The multiplicity one theorem, 2024 Dennis Gaitsgory and Sam Raskin
A study in derived algebraic geometry
Volume I: Correspondences and duality, 2016 		Dennis Gaitsgory and N. Rozenblyum
A study in derived algebraic geometry
Volume II: Deformations, Lie theory and formal geometry, 2016 		Dennis Gaitsgory and N. Rozenblyum
Algebraic independence of topological Pontryagin classes, 2022 Soren Galatius and Oscar Randall-Williams
Glimpses of Bott periodicity, 2018? Aygul Galimova
An introduction to six-functor formalisms, 2021 Martin Gallauer
Decomposition spaces, incidence algebras and Mobius inversion I: Basic theory, 2018 Imma Galvez-Carrillo, Joachim Kock, Andrew Tonks
Decomposition spaces, incidence algebras and Mobius inversion II: Completeness, length filtration, and finiteness, 2018 Imma Galvez-Carrillo, Joachim Kock, Andrew Tonks
Decomposition spaces, incidence algebras and Mobius inversion III: The decomposition space of Mobius intervals, 2018 Imma Galvez-Carrillo, Joachim Kock, Andrew Tonks
Understanding the small object argument, 2009 Richard Garner
Lifting accessible model structures, 2018 Richard Garner, Magdalena Kędziorek and Emily Riehl
MFO Report on Algebraic K-Theory workshop, 8-14 May, 2022 Thomas Geisser, Lars Hesselholt, Annette Huber-Klawitter, and Moritz Kerz
The RO(C4) integral homology of a point, 2022 Nick Georgakopoulos
The RO(C4) cohomology of the infinite real projective space, 2024 Nick Georgakopoulos
TheC2n Borel dual Steenrod algebra, 2022 Nick Georgakopoulos
C2 equivariant characteristic classes over the rational Burnside ring, 2022 Nick Georgakopoulos
C2n -equivariant rational stable stems and characteristic classes, 2022 Nick Georgakopoulos
Enriched ∞-categories via nonsymmetric ∞-operads, 2015 David Gepner and Rune Haugseng
Global 2-rings and genuine refinements, 2024 David Gepner, Sil Linksens and Luca Pol
Brauer groups and Galois cohomology of commutative ring spectra, 2021 David Gepner and Tyler Lawson
Universality of multiplicative infinite loop space machines, 2015 David Gepner, Moritz Groth and Thomas Nikolaus
Lax colimits and free fibrations in ∞-categories, 2017 David Gepner, Reune Haugseng and Thomas Nikolaus
An Introduction to Higher Categorical Algebra, 2019 David Gepner
On equivariant topological modular forms, 2020 David Gepner and Lennart Meier
The special fiber of the motivic deformation of the stable homotopy category is algebraic, 2018 Bogdan Gheorghe, Guozhen Wang and Zhouli Xu
C-motivic modular forms, 2021 Bogdan Gheorghe, Daniel C. Isaksen, Achim Krause and Nicolas Ricka
The cohomology structure of an associative ring,, 1963 Murray Gerstenhaber
Koszul duality for operads, 1994 Victor Ginzburg and Mikhail Kapranov
M�thode de la descentes, 1964 Jean Giraud
A spectrum-level Hodge filtration on topological Hochschild homology, 2016 Saul Glasman
Day convolution for ∞-categories, 2016 Saul Glasman
Stratified categories, geometric fixed points and a generalized Arone-Ching theorem, 2016 Saul Glasman
Goodwillie calculus and Mackey functors, 2018 Saul Glasman
Some generalized Brown-Gitler spectra, 1986 Paul Goerss, John D. S. Jones and Mark E. Mahowald
Vecteurs de Witt non commutatifs et représentabilité de l ´ homologie modulo p , 1992 Paul Goerss, Jean Lannes, and Fabien Morel
Hopf algebras, Witt vectors, and Brown-Gitler spectra, 1993 Paul Goerss, Jean Lannes, and Fabien Morel
Hopf rings, Dieudonné Modules, and E*Ω2S3, 1999 Paul Goerss 
TOPOLOGICAL MODULAR FORMS [after Hopkins, Miller, and Lurie], 2009 Paul Goerss 
The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres, Strasbourg lectures of 2007 Paul Goerss 
Quasi-coherent sheaves on the Moduli Stack of Formal Groups, 2008 Paul Goerss 
The homotopy of L2V(1) for the prime 3, 2007 Paul Goerss, Hans-Werner Henn and Mark Mahowald 
The rational homotopy of the K(2)-local sphere and the chromatic splitting for the prime 3 and level 2, 2012 Paul Goerss, Hans-Werner Henn and Mark Mahowald 
A resolution of the K(2)-local sphere at the prime 3, 2005 Paul Goerss, Hans-Werner Henn, Mark Mahowald and Charles Rezk 
On Hopkins’ Picard groups for the prime 3 and chromatic level 2 , 2014 Paul Goerss, Hans-Werner Henn, Mark Mahowald and Charles Rezk 
Moduli Problems for Structured Ring Spectra, ≥2004 P. G. Goerss and M. J. Hopkins
Moduli Spaces of Commutative Ring Spectra, 2004 P. G. Goerss and M. J. Hopkins
Simplicial Homotopy Theory, 1999 P. G. Goerss and J. F. Jardine
Model Categories and Simplicial Methods, 2006 P. G. Goerss and K. Schemmerhorn
Cyclic homology, derivations, and the free loopspace, 1985 Thomas G. Goodwillie
On the General Linear Group and Hochschild Homology, 1985 Thomas G. Goodwillie
Relative algebraic K-theory and cyclic homology, 1986 Thomas G. Goodwillie
Letter to Waldhausen of August 10, 1987
AI typeset version of June, 2025. Latex source code. 		Thomas G. Goodwillie
Calculus. I. The first derivative of pseudoisotopy theory, 1991/92 Thomas G. Goodwillie
Calculus. II. Analytic functors, 1991/92 Thomas G. Goodwillie
Calculus. III. Taylor series, 2003 Thomas G. Goodwillie
Formal completion of the Jacobian of plane curves and higher real K-theories V. Gorbounov and M. Mahowald
Toward the homotopy groups of the higher real K-theory EO2 Vassily Gorbounov  and Peter Symonds 
Symmetric powers in abstract homotopy categories, 2016 S. Gorchinskiy and V. Guletskii
Arithmetic properties of binomial coefficients. I. Binomial coefficients modulo prime powers, 1997 Andrew Granville
EHP spectra and periodicity. I: geometric constructions, 1993 Brayton Gray
EHP spectra and periodicity. II: Λ-algebra models, 1993 Brayton Gray
The periodic Lambda algebra, 1998
See also Periodicity in the periodic Lambda algebra, 2012 by Jessie Zhang 		Brayton Gray
Periodicity, compositions and EHP sequences, 2014 Brayton Gray
Abelian Properties of Anick Spaces, 2017 Brayton Gray
Representing Tate cohomology of G-spaces, 1987
John Greenlees  
The power of mod p Borel homology, 1989
John Greenlees  
Some remarks on projective Mackey functors,1992
John Greenlees  
Some remarks on the structure of Mackey functors, 1992 John Greenlees and J. Peter May 
Tate cohomology in commutative algebra, 1994
John Greenlees
Equivariant stable homotopy theory, 1995
John Greenlees and J. Peter May 
Generalized Tate Cohomology, 1995
John Greenlees and J. Peter May 
The Tate spectrum of vn -periodic complex oriented theories, 1996
John Greenlees and Hal Sadofsky 
Tate cohomology in axiomatic stable homotopy theory (pages 149-175 of book), 2001
John Greenlees
Spectra for commutative algebraists, 2007
John Greenlees  
The cellularization principle for Quillen adjunctions, 2013 John Greenlees and Brooke Shipley 
Gorenstein duality for real spectra, 2017 John Greenlees and Lennart Meier 
Four approaches to cohomology theories with reality, 2017 John Greenlees
Ranks of RO(G)-graded stable homotopy groups of spheres for finite groups G, 2022 John Greenlees and J.D. Quigley
On the motivic Segal conjecture, 2023
Thomas Gregersen and John Rognes
The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory
B. H. Gross and M. J. Hopkins
Gauss sums and the p-adic Γ-function
B. H. Gross and N. Koblitz
A short course on ∞-categories, 2010 Moritz Groth  
Sur quelques points d´algebre homologique , 1957, the Tohoku paper.
English translation by Michael Barr, 2011.
Review by Rick Jardine, 2015.
Alexandre Grothendieck
Are your polyhedra the same as my polyhedra?, 2003 Branko Grünbaum  
Geometry of theta divisors --- a survey, 2013 Samuel Grushevsky and Klaus Hulek  
Orbifolds and Wallpaper Patterns, 2009 Joño Guerreiro  
A short note on models for equivariant homotopy theory, 2006 Bert Guillou  
Permutative g-categories in equivariant infinite loop space theory, 2012 Bert Guillou and J. Peter May  
The η-local motivic sphere, 2014 Bert Guillou and Daniel C. Isaksen  
Enriched model categories and presheaf categories, 2017 Bert Guillou and J. Peter May  
Enriched model categories in equivariant contexts, 2017 Bert Guillou, J. Peter May and Jonathan Rubin  
Models of G-spectra as presheaves of spectra, 2022 Bert Guillou and J. Peter May  
Equivariant iterated loop space theory and permutative G-categories, 2017
This paper appears to be a revision of the 2012 preprint listed immediately above. 		Bert Guillou and J. Peter May  
The Klein four slices of Σ2 HF2, 2019 Bert Guillou and Carolyn Yarnall  
C2-Equivariant Stable Stems , 2024 Bert Guillou and Dan Isaksen  
The slices of quaternionic Eilenberg-Mac Lane spectra, 2022 Bert Guillou and Carissa Slone  
Equivariant infinite loop space theory II. The multiplicative Segal machine, 2017 Bert Guillou, J. Peter May, Mona Merling and Angelica M. Osorno
The RO(K)-graded homotopy of Klein-four normed Mackey functors, 2025 Bert Guillou, Jesse Keyes and David Mehrle
A monadic interpretation of categorical Mackey functors, 2024 Elijah H. Gunther
The Hurewicz image of C2-equivariant HF2, HZ, AND HA, 2026 Manyi Guo, Guchuan Li, Yunze Lu, Sihao Ma, Yuchen Wu, Zhouli Xu, Jinghui Yang, and Shangjie Zhang
Bousfield Localisations along Quillen Bifunctors, 2017 Javier J. Gutierrez and Constanze Roitzheim
The oriented cobordism ring, 2016 Araminta Gwynne

A    An    B    Barw    Be    Bh    Bl    Bo    Br    Bu    C    Cl    D    Du    E    F    G    Gr    H    Hi    Ho   

I    J    K    L    Li    M    Mc    N    O    P    Q    R    S    Sh    Sm    T    U    V    W    XYZ 

Vanishing lines for modules over the motivic Steenrod algebra, 2018 Drew Heard and Achim Krause
A note on quadratic forms, 2024 Fabian Hebestreit, Achim Krause and Maxime Ramzi
Fully faithful functors and pushouts of ∞-categories, 2025 Peter J. Haine, Maxime Ramzi and Jan Steinebrunner
Equivariant localizing motives and multiplicative norms on algebraic K-theory, 2026 Kaif Hilman and Maxime Ramzi
Pushouts of Dwyer maps are (∞, 1)–categorical, 2024 Philip Hackney, Viktoriya Ozornova, Emily Riehl and Martina Rovelli
On the Bousfield classes of H∞-ring spectra, 2022 Jeremy Hahn
Crystallinity for reduced syntomic cohomology and the mod (p,v1pn-2) K-theory of Z/pn, 2024 Jeremy Hahn, Ishan Levy and Andrew Senger
Real Orientations of Morava E-theories, 2020 Jeremy Hahn and Xiaolin Danny Shi  
Eilenberg-MacLane spectra as equivariant Thom spectra, 2018 Jeremy Hahn and Dylan Wilson  
Quotients of even rings, 2018 Jeremy Hahn and Dylan Wilson  
Real topological Hochschild homology and the Segal conjecture, 2021 Jeremy Hahn and Dylan Wilson  
Eilenberg–Mac Lane spectra as equivariant Thom spectra, 2018 Jeremy Hahn and Dylan Wilson  
Exotic Multiplications on Periodic Complex Bordism, 2019 Jeremy Hahn and Allen Yuan  
Multiplicative Structure in the Stable Splitting of ΩSLn(C), 2017 Jeremy Hahn and Allen Yuan  
Redshift and multiplication for truncated Brown-Peterson spectra, 2022 Jeremy Hahn and Dylan Wilson  
Odd primary analogs of Real orientations, 2023 Jeremy Hahn, Andrew Senger and Dylan Wilson  
A motivic filtration on the topological cyclic homology of commutative ring spectra, 2022
See Antieau’s summary on pages 1367-71 here. 		Jeremy Hahn, Arpon Raksit and Dylan Wilson  
Talbot 2024: Topological Cyclic Homology of Ring Spectra, 2024
S71 here. 		Mentored by Jeremy Hahn and Allen Yuan with talks and notes by many students  
Algebraic Cohomology of Ring Spectra, ICM 2026
 Jeremy Hahn
Iwasawa theory for K(1)-local spectra, 2007 Rebekah Hahn and Stephen A. Mitchell
The homotopy-invariance of constructible sheaves, 2023 Peter J. Haine, Mauro Porta and Jean-Paptiste Teyssier
Spectral weight filtrations, 2023 Peter J. Haine and Piotr Pstrągowski
Relative Loday constructions and applications to higher -calculations, 2018 Gemma Halliwell, Eva Höning, Ayelet Lindenstrauss, Birgit Richter and Inna Zakharevich
Who’s That Mathematician? Images from the Paul R. Halmos Photograph Collection - Index, external link Paul Halmos
MACKEY FUNCTORS and BISETS, 2010 I. Hambleton, L. R. Taylor, and E. B. Williams  
On model structure for coreflective subcategories of a model category, 2013 Tadayuki Haraguchi  
Homotopy Obstructions to Rational Points, 2011 Yonatan Harpaz and Tomer M. Schlank
The Grothendieck construction for model categories, 2017 Yonatan Harpaz and Matan Prasma
Topological Hochschild homology as a cyclotomic spectrum, 2018 Yonatan Harpaz
Little cube algebras and factorization homology, 2019 Yonatan Harpaz
Ambidexterity and the universality of finite spans, 2020 Yonatan Harpaz
Tangent categories of algebras over operads, 2019 Yonatan Harpaz, Joost Nuiten and Matan Prasma
Homotopy completion and topological Quillen homology of structured ring spectra, 2013 John E. Harper and Kathryn Hess
On the double suspension homomorphism at odd primes, 1982 J. R. Harper and H. R. Miller  
Algebraic Topology, 2002 Allen Hatcher  
Rune Haugseng’s home page
Iterated spans and classical topological field theories, 2014 Rune Haugseng  
Introduction to ∞-Categories, 2017 Rune Haugseng  
∞-Operads via symmetric sequences, 2022 Rune Haugseng  
An allegedly somewhat friendly introduction to ∞-operads, 2023 Rune Haugseng  
From analytic monads to ∞-operads through Lawvere theories, 2023 Rune Haugseng  
Higher categories, 2024 Rune Haugseng  
Algebras for enriched ∞-operads, 2024 Rune Haugseng  
Yet another introduction to ∞-categories, 2025 Rune Haugseng  
Invariant prime ideals in equivariant Lazard rings, 2023 Markus Hausmann and Lennart Meier  
Local Class Field Theory Is Easy, 1975 Michiel Hazewinkel  
Formal groups and applications, 1978 Michiel Hazewinkel  
Witt vectors. Part 1, 2008 Michiel Hazewinkel  
On equivariant and motivic slices, 2019 Drew Heard
Picard groups of higher real K-theory spectra at height p-1, 2017 Drew Heard, Akhil Mathew and Vesna Stojanoska
Picard groups and duality for Real Morava E-theories, 2018 Drew Heard, Guchuan Li and Xiaolin Danny Shi;
The Tate construction and spectral sequences, 2018 Alice Hedenlund
Multiplicative Tate Spectral Sequences, 2020 Thesis Alice Hedenlund
A multiplicative Tate spectral sequence for compact Lie group actions, 2020 Alice Hedenlund and John Rognes
Homotopy theories, 1988 Alex Heller  
Stable homotopy theories and stabilization, 1997 Alex Heller  
Homological algebra and (semi)stable homotopy, 1997 Alex Heller  
Galois equivariance and stable motivic homotopy theory, 2014 Jeremiah Heller and Kyle Ormsby  
The stable Galois correspondence for real closed fields, 2018 Jeremiah Heller and Kyle Ormsby  
Conjugate pairs of categories and Quillen equivalent stable model categories of functors , 2014 R. Helmstutler  
Centralizers of elementary abelian p-subgroups and mod p cohomology of profinite groups , 1998 Hans-Werner Henn  
The centralizer resolution of the K(2)-local sphere at the prime 2, 2019 Hans-Werner Henn  
The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited Hans-Werner Henn, Nasko Karamanov and Mark Mahowald  
The homotopy groups of tmf and of its localizations Andre Henriques  
On the homotopy type of L-spectra of the integers, 2021 Fabian Hebestreit, Markus Land and Thomas Nikolaus  
Model categories in algebraic topology, 2002 Kathryn Hess  
Deligne’s Hochschild cohomology conjecture, 2010 slides Kathryn Hess  
A necessary and sufficient condition for induced model structures, 2017 Kathryn Hess, Magdalena Kędziorek, Emily Riehl, and Brooke Shipley  
On the p-typical curves in Quillen’s K-theory, 1996 Lars Hesselholt  
Dirac geometry I: Commutative algebra, 2023 Lars Hesselholt and Piotr Pstrągowski  
Dirac geometry II: Coherent cohomology, 2024 Lars Hesselholt and Piotr Pstrągowski  
Witt vectors of non-commutative rings and topological cyclic homology, 1997
Erratum to: Witt vectors of non-commutative rings and topological cyclic homology, 2--5 		Lars Hesselholt  
On the K-theory of finite algebras over Witt vectors of perfect fields, 1997 Lars Hesselholt and Ib Madsen  
Cyclic polytopes and the K-theory of truncated polynomial algebras, 1997 Lars Hesselholt and Ib Madsen  
On the K-theory of local fields, 2003 Lars Hesselholt and Ib Madsen  
On the de Rham-Witt complex in mixed characteristic, 2004 Lars Hesselholt and Ib Madsen  
Topological cyclic homology, 2018 Lars Hesselholt and Thomas Nikolaus  
Topological Hochschild homology and the Hasse-Weil zeta function, 2018 Lars Hesselholt  
Oberwolfach Seminar Topological Cyclic Homology and Arithmetic, 2018 Lars Hesselholt  
Arbeitsgemeinschaft: Topological Cyclic Homology, 2018.
Oberwolfach report with lectures notes by 18 other authors.		 Organised by Lars Hesselholt and Peter Scholze  
Topological cyclic homology and the Fargues-Fontaine curve, 2023 Lars Hesselholt  
Goodwillie approximations to higher categories, 2021 Gijs Heuts  
On the equivalence between Lurie’s model and the dendroidal model for infinity-operads, 2016 Gijs Heuts, VladimirHinich and Ieke Moerdijk  
Lie algebras and vn-periodic spaces, 2021 Gijs Heuts  
Lie algebra models for unstable homotopy theory, 2019 Gijs Heuts  
European Talbot 2025: Higher Algebra and Chromatic Homotopy Theory, 2025 Mentored by Gijs Heuts and Ishan Levy, notes by Mattie Ji, and talks by numerous students  
Finite subgroups of division algebras over local fields Thomas Hewett  
Notes on Differential Geometry, 1965, Latex edition typeset by TEXromancers (Aareyan Manzoor et al), 2022. Noel J. Hicks  
Categories and groupoids, 1971 P. J. Higgins  
Papers of Mike Hill
Equivariant chromatic localizations and commutativity, 2017  Michael Hill  
Ext and the motivic Steenrod algebra over R  Michael Hill  
Equivariant multiplicative closure, 2014   Michael Hill and Michael Hopkins  
The Equivariant Slice Filtration: a Primer, 2012 Michael Hill  
The 3-local tmf-homology of B Σ3   Michael Hill  
On the fate of η3 in higher analogues of Real bordism, 2015  Michael Hill  
The slice spectral sequence of a C4-equivariant height-4 Lubin-Tate theory, 2019 Michael Hill, Xiaolin Danny Shi, Guozhen Wang and Zhouli Xu  
Generalized Z-homotopy fixed points of Cn spectra with applications to norms of MUR, 2020 Michael Hill and Mingcong Zeng
Automorphic forms and cohomology theories on Shimura curves of small discriminant, 2009 Michael Hill and Tyler Lawson  
Topological modular forms with level structure, 2016 Michael Hill and Tyler Lawson  
Ek-pushouts and Ek+1-tensors , 2021  Michael Hill and Tyler Lawson  
ALL ABOUT Tmf1(3), 2015 Michael Hill and Lennart Meier  
Equivariant symmetric monoidal structures, 2016 Michael Hill
and Michael Hopkins  
On the Andre-Quillen homology of Tambara functors, 2017 Michael Hill
The C2-spectrum Tmf1(3) and its invertible modules, 2017 Michael Hill and Lennart Meier  
A new formulation of the equivariant slice filtration with applications to C p-slices, 2017 Michael Hill and Carolyn Yarnall  
On the algebras over equivariant little disks, 2017 Michael Hill  
Real Wilson Spaces I, 2018 Michael Hill and Micheal Hopkins  
Freeness and equivariant stable homotopy, 2019 Michael Hill
Free incomplete Tambara functors are almost never flat, 2021
GROOT video by Mehrle of August, 2020 		Michael Hill, David Mehrle and J.D. Quigley
On the hyperreal dual Steenrod algebra, 2026 Michael Hill and Micheal Hopkins  
A beginner´s guide to the Segal conjecture for finite groups , 2020 Kaif Hilman  
Parametrised functor calculus: excision, spheres, and semiadditivity , 2024 Kaif Hilman and Sil Linskens  
Category Theory, Homology Theory and their Applications III, 1969 Peter Hilton  
A Course in Homological Algebra, 1971 P.J. Hilton and U. Stammbach  
Dwyer-Kan localization revisited, 2016 V. Hinich
Lectures on ∞-categories, 2018 V. Hinich
On the equivalence of the Lurie’s ∞-operads and dendroidal ∞-operads, 2022 V. Hinich and Ieke Moerdijk
Model Categories and Their Localizations, 2003
Private copy      Errata, 2011 		Philip Steven Hirschhorn  
Overcategories and undercategories of model categories, 2005 Philip Steven Hirschhorn  
The Quillen model category of topological spaces, 2015 Philip Steven Hirschhorn  
Topological Methods in Algebraic Geometry, 1962 F. Hirzebruch  
Manifolds and Modular Forms, 1994 Friedrich Hirzebruch, Thomas Berger and Rainer Jung  
On the Cohomology Groups of an Associative Algebra, 1945 G. Hochschild
Cohomology of group extensions, 1953 G. Hochschild and J.-P. Serre
Differential forms on regular affine algebras, 1962 G. Hochschild. Bertram Kostant and Alex Rosenberg
Orientability of high-dimensional manifolds with odd Euler characteristic, 2020 Renee S. Hoekzema
Real topological cyclic homology of spherical group rings, 2016 Amalie Høgenhaven
The freeness theorem for equivariant cohomology of Rep(C2)-complexes, 2020 Eric Hogle and Clover May
On RO(G)-graded equivariant "ordinary" cohomology where G is a power of Z/2, 2017 John Holler and Igor Kriz
Real Topological Hochschild Homology of Perfectoid Rings, 2023 Jens Hornbostel and Doosung Park
On the formal structure of the Jacobian variety of the Fermat curve over a p-adic integer ring, 1972, scanned by Catherine Ray Taira Honda
Complex oriented cohomology theories and the language of stacks, COCTALOS for short, 1999 Notes on a course given by Mike Hopkins 
Equivariant stable homotopy theory, 7 pages, notes on lectures given by Mike Hopkins at the Young Topologists Meeting of 2012 Aaron Mazel-Gee
Spectra and stable homotopy theory, 141 pages, Lectures deliverd by Mike Hopkins at Harvard, Fall 2012 Notes by Akhil Mathew
K(1)-local E∞ ring spectra, 1995? Mike Hopkins 
Nilpotence and Stable Homotopy Theory II, 1998 Michael J. Hopkins and Jeffrey H. Smith
Strictly commutative complex orientation theory, 2018 Michael J. Hopkins and Tyler Lawson
Ambidexterity in K(n)-Local Stable Homotopy Theory, 2013 Mike Hopkins and Jacob Lurie 
On Brauer Groups of Lubin-Tate Spectra I, 2020 Mike Hopkins and Jacob Lurie 
From elliptic curves to homotopy theory Mike Hopkins and Mark Mahowald 
Constructions of elements in Picard groups, 1994 Mike Hopkins, Mark Mahowald and Hal Sadofsky 
Intersection forms of spin 4-manifolds and the Pin(2) -equivariant Mahowald invariant, 1994 Mike Hopkins, Jianfeng Lin, XiaoLin Danny Shi and and Zhouli Xu
A multiplicative comparison of Mac Lane homology and topological Hochschild homology, 2021 Geoffroy Horel, Maxime Ramzi
Genuine equivariant factorization homology, 2019 Asaf Horev
Equivariant nonabelian Poincare duality and equivariant factorization homology of Thom spectra, 2024 Asaf Horev, Inbar Klang, and Foling Zou. Appendix by Jeremy Hahn and Dylan Wilson
Bousfield localization functors and
Hopkins’ zeta conjecture, 1993 		Mark Hovey 
Bousfield Localization Functors and Hopkins ´
Chromatic Splitting Conjecture, 1995 		Mark Hovey
Tate Cohomology Lowers Chromatic Bousfield Classes, 1996 Mark Hovey and Hal Sadofsky 
Axiomatic Stable Homotopy Theory, 1997 Mark Hovey, John Palmieri and Neil Strickland
Monoidal Model Categories, 1998 unpublished Mark Hovey 
Invertible spectra in the E(n)-local stable homotopy category, 1999 Mark Hovey and Hal Sadofsky 
Model categories, 1999 Errata Mark Hovey
Morava K-theories and localisation, 1999
Private copy 		Mark Hovey and Neil Strickland 
Symmetric spectra, 2000
1998 preprint		 M. Hovey, B. Shipley, and J. Smith 
Spectra and symmetric spectra in general model categories, 2001
Preprint 		Mark Hovey 
Morita theory for hopf algebroids and presheaves of groupoids, 2002 Mark Hovey 
Homotopy theory of comodules over a Hopf algebroid, 2003 Mark Hovey 
The homotopy of MString and MU⟨6⟩ at large primes, 2008 Mark Hovey 
Quillen model categories, 2012 Mark Hovey
Smith ideals of structured ring spectra, 2014 Mark Hovey
An alternative approach to equivariant stable homotopy theory, 2013 Mark Hovey and David White 
Two topics in stable homotopy theory, 2014 Rolf Hoyer
From algebraic cobordism to motivic cohomology, 2013 Marc Hoyois 
On Quillen’s plus construction, 2019 Marc Hoyois 
The Ext 0 -term of the real-oriented Adams-Novikov spectral sequence Po Hu 
Real cobordism and Greek letter elements in the geometric chromatic spectral sequence Po Hu 
Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence, 2001 Po Hu and Igor Kriz 
The homology of BPO, 2002 Po Hu and Igor Kriz 
Conformal field theory and elliptic cohomology, 2004 Po Hu and Igor Kriz  
Convergence of the Motivic Adams Spectral Sequence , 2011 Po Hu, Igor Kriz and Kyle Ormsby
Remarks on motivic homotopy theory over algebraically closed fields Po Hu, Igor Kriz and Kyle Ormsby
The Z/p-equivariant dual Steenrod algebra for an odd prime p Po Hu, Igor Kriz, Petr Somberg, and Foling Zou
The Z/p-equivariant spectrum BPR $ for an odd prime p Po Hu, Igor Kriz, Petr Somberg, and Foling Zou
Mahowaldean families of elements in stable homotopy groups revisited, 1999 David J. Hunter and Nicholas J. Kuhn 
Coalgebraic algebra, 1998 John R. Hunton and Paul R. Turner 
The Structure of the Hopf Algebra H*(BU) over a Z(p)-Algebra, 1971 Dale Husemoller (1934-2025)
Elliptic Curves, Second Edition, 2004 Dale Husemoller 
Equivariant singular homology and cohomology I, 1975 Sören Illman
Complexe de de Rham-Witt et cohomologie cristalline, 1979 Luc Illusie
The Steenrod algebra and the automorphism group of additive formal group law, 2005 Masateru Inoue
Odd primary Steenrod algebra, additive formal group laws, and modular invariants, 2006 Masateru Inoue
A universal property of the convolution monoidal structure, 1986 G. B. Im and G. M. Kelly
Research page of Dan Isaksen
Classical and motivic Adams charts, 2014 Daniel C. Isaksen 
Classical and motivic Adams-Novikov charts, 2014 Daniel C. Isaksen 
Stable Stems, 2014 Daniel C. Isaksen 
Stable homotopy groups of spheres, 2020 Daniel C. Isaksen Guozhen Wang and Zhouli Xu 
More stable stems, 2020 Daniel C. Isaksen, Guozhen Wang and Zhouli Xu 
Stable homotopy groups of spheres: from dimension 0 to 90, 2023 Daniel C. Isaksen, Guozhen Wang and Zhouli Xu 
Classical algebraic Novikov charts and C-motivic Adams charts for the cofiber of τ, 2022 Daniel C. Isaksen, Guozhen Wang and Zhouli Xu 
The $\mathbb C $-motivic Adams-Novikov spectral sequence for topological modular forms, 2024 Daniel C. Isaksen, HJ Kong, G Li, Y Ruan, H Zhu
Exotic periodic phenomena in the cohomology of the moduli stack of one-dimensional formal group laws, 2023 Daniel C. Isaksen, HJ Kong, G Li, Y Ruan, H Zhu
André-Quillen homology of commutative algebras, 2007 Srikanth Iyengar 
Handbook of Algebraic Topology, 1995  Edited by I.M. James (1928-2025)
A note on actions of a monoidal category, 2001  G. Janelidze and G.M. Kelly
Thick ideals in equivariant and motivic stable homotopy categories, 2015  Ruth Joachimi
An Algebraic Approach to Results Obtained using Topological Modular Forms, 2026  N. Jochnowitz and D. Tseng
The derivatives of homotopy theory, 1995  Brenda Johnson
Projective dimension and Brown-Peterson homology, 1973  David C. Johnson and W. Stephen Wilson
BP operations and Morava’s extraordinary K-theories, 1975  David C. Johnson and W. Stephen Wilson
The Brown-Peterson homology of elementary p-groups, 1985  David C. Johnson and W. Stephen Wilson
A sheaf-theoretic view of loop spaces, 2001  Mark W. Johnson
2-Dimensional Categories, 2020  Niles Johnson and Donald Yau
Homotopy Theory of Enriched Mackey Functors, 2023  Niles Johnson and Donald Yau
Bimonoidal Categories, En-Monoidal Categories, and Algebraic K-Theory, 2024 Volumes I and II by Donald Yau Volume III by Niles Johnson and Donald Yau Niles Johnson and Donald Yau
Kervaire’s invariant for framed manifolds, 1978  John Jones and Elmer Rees
A note on the Kervaire invariant, 1975  John Jones and Elmer Rees
Limits of stable homotopy and cohomotopy groups, 1983  John Jones and Elmer Rees
Cyclic homology and equivariant homology, 1987  John Jones
The Additivity Theorem in K-theory, 2004  Kevin Charles Jones, Youngsoo Kim, Andrea H. Mhoon, Rekha Santhanam, Barry J. Walker and Daniel R. Grayson
The Jones Polynomial, 2005  Vaughan F.R. Jones
Quasi-categories and Kan complexes, 2002  Andre Joyal
Notes on quasi-categories, 2008, 243 pages Andre Joyal
The Theory of Quasi-Categories and its Applications, 2008, 350 pages Andre Joyal
Traced monoidal categories, 1996  Andre Joyal, Ross Street and Dominic Verity
Quasi-categories vs Segal spaces, 2006  Andre Joyal and Myles Tierney
Notes on simplicial homotopy theory, 2008  Andre Joyal and Myles Tierney
Applications of the transfer to stable homotopy theory, 1972 Daniel S. Kahn and Stewart B. Priddy
The transfer and stable homotopy theory, 1978 Daniel S. Kahn and Stewart B. Priddy
Motivic structures in non-commutative geometry, 2010 D. Kaledin
Cyclotomic complexes, 2013 D. Kaledin
The Witt group of real algebraic varieties, 2016 Max Karoubi, Marco Schlichting and Charles Weibel
On fixed point sets of differentiable involutions, 1985 Masayoshi Kamata and Shian-Wu Tyan
On the multiplicativity of the Euler characteristic, 2023 John R. Klein, Cary Malkiewich and Maxime Ramzi
On Bias and Rank, 2018 David Kazhdan and Tomer M. Schlank
A Note on the Entropy/Influence Conjecture, 2011 Nathan Keller, Elchanan Mossel and Tomer Schlank
On c.s.s. Complexes, 1957 Daniel M. Kan, 1927-2013 
Adjoint functors, 1958 Daniel M. Kan 
Functors Involving C.S.S. Complexes, 1958 Daniel M. Kan 
A combinatorial definition of homotopy groups, 1958 Daniel M. Kan 
Semisimplicial spectra, 1963 Daniel M. Kan 
The mod p cohomology of the Morava stabilizer group at large primes, 2024 Mohammad Behzad Kang and Andrew Salch
On Hopkins’ Picard group Pic2 at the prime 3, 2010 Nasko Karamonov 
Categories and Sheaves, 2006 Masaki Kashiwara and Pierre Schapira
The Morava K-theory and Brown-Peterson Cohomology of Spaces related to BP, 2001 Takuji Kashiwabara and W. Stephen Wilson
Cyclic homology, comodules, and mixed complexes, 1987 Christian Kassel
p-adic Properties of Modular Schemes and Modular Forms, 1973 Nicholas M. Katz
An Introduction to Khovanov Homology, 2022 Louis H. Kauffman
The May filtration on THH and faithfully flat descent, 2025
GROOT video of June 1, 2020, part 1 part 2 		Liam Keenan
A chromatic vanishing result for TR, 2023 Liam Keenan and Joans McCandless
On The Telescopic Picard Group, 2024 Shai Keidar
Semiadditive alternating powers and twisted power operation, 2025 Shai Keidar
Coherence in closed categories, 1971 Erratum Max Kelly 
Basic concepts of enriched category theory, 1982 Max Kelly 
Categories enriched on two sides, 2002 Max Kelly, Anna Labella, Vincent Schmitt and Ross Street
On the operads of J. P. May, 2005 Max Kelly
Groups of homotopy spheres: I, 1963 Michel A. Kervaire (1927-2007) and John W. Milnor 
Picard groups in equivariant algebra and stable homotopy theory, 2025 Jesse Keyes and Jordan Sawdy
The RO(K)-graded coefficients of HA , 2025 Jesse Keyes
A categorification of the Jones polynomial, 2000 Mikhail Khovanov
The second real Johnson-Wilson theory and nonimmersions of RPn, 2008 Nitu Kitchloo and Steve Wilson 
The second real Johnson-Wilson theory and nonimmersions oF RPn Part II, 2008 Nitu Kitchloo and Steve Wilson 
Landweber flat real pairs and ER(n)-cohomology, 2017 Nitu Kitchloo, Vitaly Lorman and Steve Wilson 
On the Odd Primary Homology of Free Algebras over the Spectral Lie Operad, 2017 Jens Jakob Kjaer 
The factorization theory of Thom spectra and twisted nonabelian Poincare duality, 2018 Inbar Klang 
The dualizing spectrum of a topological group, 2001 John R. Klein
Axioms for generalized Farrell-Tate cohomology, 2002 John R. Klein
Continuous trace C*-algebras, gauge groups and rationalization, 2009 John R. Klein, Claude L. Schochet, Samuel B. Smith
Im(J)-theory and the Kervaire invariant, 1997 Karlheinz Knapp 
A Primer on Zeta Functions and Decomposition Spaces, 2020 Andrew Kobin
Homology of the classical groups over the Dyer-Lashof algebra, 1973 Stanley O. Kochman
An algebraic filtration of H*(MO;Z 2 ), 1983 Stanley O. Kochman
Stable homotopy groups of spheres. A computer-assisted approach, 1990.
Chapter 1   Chapter 2   Chapter 3   Chapter 4   Chapter 5   Chapter 6   Chapter 7   Chapter 8   Appendix 1   		Stanley O. Kochman 
The C2-effective spectral sequence for C2-equivariant connective real K-theory, 2020 Hana Jia Kong
The slice spectral sequence for a motivic analogue of the connective K(1)-local sphere, 2022 Hana Jia Kong and J.D. Quigley
Topological Cyclic Homology, external link to video course, 20-30 hours worth, 2021 Achim Krause and Thomas Nikolaus  
Lectures on topological Hochschild homology and cyclotomic spectra, 2021 Achim Krause and Thomas Nikolaus  
Bökstedt periodicity and quotients of DVRs, 2022 Achim Krause and Thomas Nikolaus  
Polygonic spectra and TR with coefficients, 2023 Achim Krause, Jonas McCandless and Thomas Nikolaus  
Exact bounds for even vanishing of K*(Z/pn), 2024 Achim Krause and Andrew Senger  
The Picard group in equivariant homotopy theory via stable module categories, 2020 Achim Krause  
Periodicity in motivic homotopy theory and over BP*BP, PhD thesis, 2018 Achim Krause  
Hermitian K-theory, Dedekind ζ-functions, and quadratic forms over rings of integers in number fields, 2020 Jonas Irgens Kylling, Oliver Røndigs and Paul Arne Østvær  
On the RO(G)-graded coefficients of Σ3-equivariant cohomology, 2018 Igor Kriz and Yunze Lu  
Notes on Equivariant Homology with Constant Coefficients, 2020? Sophie Kriz
Equivariant Cohomology and the Super Reciprocal Plane of a Hyperplane Arrangement, 2020 Sophie Kriz
Operads, algebras, modules, and motives, 1996 Igor Kriz and J. P. May  
Odd-degree elements in the Morava K(n) cohomology of finite groups, 2000 Igor Kriz and Kevin P. Lee  
Involutions on S[ΩM], 2005 Tore August Kro  
A Freeness Theorem for RO(Z/2)-graded Cohomology, 2010 William C. Kronholm  
The RO(G)-Graded Serre Spectral Sequence, 2010 William C. Kronholm  
On the equivariant cohomology of rotation groups and Stiefel manifolds, 2012 William Kronholm  
K-theory, Bott periodicity and elliptic operators, 2018 Cameron Krulewski  
Morava K-theories and infinite loop spaces, 1989 Nicholas J. Kuhn 
New relationships among loopspaces, symmetric products, and Eilenberg Maclane spaces, 2001 Nicholas J. Kuhn 
Goodwillie towers and chromatic homotopy: an overview, 2003 Nicholas J. Kuhn 
Tate cohomology and periodic localization of polynomial functors, 2004 Nicholas J. Kuhn 
A guide to telescopic functors, 2008 Nicholas J. Kuhn 
A short proof of the chromatic Smith Fixed Point Theorem, 2021 Nicholas J. Kuhn 
Chromatic fixed point theory and the Balmer spectrum for extraspecial 2-groups, 2022 Nicholas J. Kuhn and Christopher J.R. Lloyd
Lectures Modular Functions of One Variable III, 1973 W.Kuyk and J-P.Serre
Change of base, Cauchy completeness and reversibility, 2002 Anna Labella and Vincent Schmitt
A 2-categories companion, 2010 Stephen Lack
Une resolution projective pour le second groupe de Morava pour p ≥ 5 et applications, 2013 Olivier Lader
Sur les genres d quissabilite..., 1996 Christian Lair
(Co)Homology of Lie Algebras via Algebraic Morse Theory, 2019 Leon Lampret, Ales Vavpetic
Steenrod and Dyer-Lashof operations on BU, 1983 Timothy Lance
On the K-theory of pullbacks, 2019 Markus Land and Georg Tamme
On the K-theory of pushouts, 2023 Markus Land and Georg Tamme
Remarks on chromatically localised hermitian K-theory, 2022 Markus Land
Purity in chromatically localized algebraic K-theory, 2024 Markus Land, Akhil Mathew, Lennart Meier and Georg Tamme
Introduction to Infinity-Categories , 2021, private copy. Markus Land
An alternate computation of the stable homology of dihedral group Hurwitz spaces , 2024 Aaron Landesman and Ishan Levy
The Cohen--Lenstra moments over function fields via the stable homology of non-splitting Hurwitz spaces, 2024 Aaron Landesman and Ishan Levy
Homological stability for Hurwitz spaces and applications, 2025 Aaron Landesman and Ishan Levy
Sur les espaces fonctionnels dont la source est le classifiant d un p-groupe abelien elementaire, 1992 Jean Lannes
Coherence for distributivity, 1972 Miguel L. Laplaza
The Adams-Novikov E2-term for Behrens spectrum Q(2) at the prime 3, 2016 Donald M. Larson
A user’s guide: The Adams-Novikov E2-term for Behrens’ spectrum Q(2) at the prime 3, 2017 Donald M. Larson
Explicit modular forms from the divided beta family, 2020 Donald M. Larson
Connectedness of graphs arising from the dual Steenrod algebra , 2021 Donald M. Larson
Papers of Tyler Lawson
An overview of abelian varieties in homotopy theory, 2009 Tyler Lawson 
Secondary power operations and the Brown-Peterson spectrum at the prime 2, 2018 Tyler Lawson 
En ring spectra and Dyer-Lashof operations, 2020 Tyler Lawson 
Adjoining roots in homotopy theory, 20 Tyler Lawson 
Lax monoidality for products of enriched higher categories, 2023 Tyler Lawson 
Filtered spaces, filtered objects, 2024 Tyler Lawson 
Functorial semantics of algebraic theories, 1963 F. W. Lawvere 
Some algebraic problems in the context of functorial semantics of algebraic theories, 1965 F. W. Lawvere 
Dualizable additive categories, 2026 Ishan Levy, Jiacheng Liang, Vladimir Sosnilo
Topological Hochschild homology of the image of j , 2023 David Jongwon Lee and Ishan Levy
The monochromatic Hahn-Wilson conjecture, 2024 David Jongwon Lee and Piotr Pstragowski
Uniqueness of p-local truncated Brown-Peterson spectra, 2024 David Jongwon Lee
Integral topological Hochschild homology of connective complex K-theory, 2022 David Jongwon Lee
Higher Operads, Higher Categories, 2003 Tom Leinster
The Euler characteristic of a category, 2006 Tom Leinster
Basic Category Theory, 2016 Tom Leinster
Mackey functors and classical equivariant K-theory, 2016 Tobias Lenz
G-global homotopy theory and algebraic K-theory, 2016 Tobias Lenz
Norms in equivariant homotopy theory, 2025 Tobias Lenz, Sil Linskens and Phil Pützstück
Lectures on groups of homotopy spheres, 1985 Jerome P. Levine 
Chromatic Purity in Hermitian K-Theory at p = 2, 2025 Jordan Levin 
The Adams-Novikov spectral sequence and Voevodsky’s slice tower, 2013 Marc Levine
Quotients of MGL, Their Slices and Their Geometric Parts, 2015 Marc Levine and Girja Shanker Tripathi
Ishan Levy’s website
The Borel Cohomology of Free Iterated Loop Spaces, 2021 Ishan Levy and Justin Wu
Eilenberg Mac Lane spectra as p-cyclonic Thom spectra, 2022 Ishan Levy
The algebraic K-theory of the K(1)-local sphere via TC, 2022 Ishan Levy
Categorifying reduced rings, 2024 Ishan Levy
Picard groups of quotient ring spectra, 2026 Ishan Levy, Guchuan Li and Ningchuan Zhang
The RO(g)-graded equivariant ordinary cohomology of complex projective spaces with linear z/p actions, 1988 L. Gaunce Lewis, 1949-2006 
Is there a convenient category of spectra?, 1991 L. Gaunce Lewis 
The theory of Green functors, unpublished 1980 L. Gaunce Lewis 
Equivariant universal coefficient and Lünneth spectral sequences, 2006 L. Gaunce Lewis and Michael Mandell 
Ordinary RO(g)-graded cohomology, 1981 G. Lewis, J. P. May, and J. McClure  
Classifying G-spaces and the Segal conjecture, 1982 G. Lewis, J. P. May, and J. McClure  
Equivariant Stable Homotopy Theory, 1986 book.     
DJVU file 		G. Lewis, J. P. May, and M. Steinberger  
Hurewicz Images of Real Bordism Theory and Real Johnson-Wilson Theories, 2019 Guchuan Li, Xiaolin Danny Shi, Guozhen Wang, Zhouli Xu
Tate blueshift and vanishing for Real oriented cohomology, 2019 Guchuan Li, Vitaly Lorman and J.D. Quigley
Invertible spectra of finite type, 2021 Guchuan Li
A Thom Spectrum Model for C2-Integral Brown--Gitler Spectra, 2023 Guchuan Li, Sarah Petersen and Elizabeth Tatum
A spectrum-level splitting of the kuR-cooperations algebra, 2025 Guchuan Li, Sarah Petersen and Elizabeth Tatum
Box Product of Mackey Functors in Terms of Modules, 2015 ZHULIN LI 
Unstable Modules with the Top k Squares, 2019 ZHULIN LI 
On the May spectral sequence at the prime 2 , 2020
GROOT video of June 5, 2020 		Weinan Lin
On the last Kervaire invariant problem, 2024
Machine Proofs for Adams Differentials and Extension Problems Among CW Spectra
Spectral sequences 		Weinan Lin, Guozhen Wang and Zhouli Xu
Ext4,*A (Z/2, Z/2) and Ext5,*A (Z/2, Z/2), 2008 Wen-Hsiung Lin
Papers of john a. lind
Diagram spaces, diagram spectra and spectra of units, 2013 John A. Lind 
The Morita equivalence between parametrized spectra and module spectra, 2018 John A. Lind and Cary Malkiewich
A remark on Mackey-functors, 1976 Harald Lindner 
Topological Hochschild Homology of Number Rings, 2000 Ayelet Lindenstrauss and Ib Madsen;
Global homotopy theory via partially lax limits, 2024 Sil Linskens, Denis Nardin and Luca Pol
Topological Cyclic Homology of Local Fields, 2020 Ruochuan Liu and Guozhen Wang
Twisted Bar Construction , 2020 Yutao Liu
Enhanced six operations and base change theorem for higher Artin stacks, 2017 Yifeng Liu and Weizhe Zheng
Homotopy theory of spectral sequences , 2024 Muriel Livernet and Sarah Whitehouse
Cyclic homology and the Lie algebra homology of matrices, 1984 Jean-Louis Loday and Daniel G. Quillen  
Cyclic homology, 1998 Jean-Louis Loday  
Free loop space and homology, 2011 Jean-Louis Loday  
Algebraic Operads, 2012 Jean-Louis Loday and Bruno Vallette  
This is the (co)end, my only (co)friend, 2016 Fosco Loregian  
Coend calculus, 2020 Fosco Loregian 
On the Arf invariant in historical perspective Falko Lorenz and Peter Roquette 
Formal Complex Multiplication in Local Fields, 1965 Jonathan Lubin and John Tate
Survey on Classifying Spaces for Families of Subgroups, 2005 Wolfgang Lück
The Burnside Ring and Equivariant Stable Cohomotopy for Infinite Groups, 2005 Wolfgang Lück
Papers of Kiran Luecke
Character Formulas from Matrix Factorizations, 2022 Kiran Luecke
Completed K-theory and Equivariant Elliptic Cohomology, 2022 Kiran Luecke
A Short Geometric Derivation of the Dual Steenrod Algebra, 2021 Kiran Luecke
There Aren’t That Many Morava E-theories, 2022 Kiran Luecke and Eric Peterson
A Geometric Model for mod p Bordism, 2024 Kiran Luecke
p-adic Congruences in Iterated Derivatives of ℘, 2025 Kiran Luecke and Eric Peterson
The Topological Singer Construction, 2012 Sverre Lunøe-Nielsen and John Rognes  
The Segal conjecture for topological Hochschild homology of complex cobordism, 2011 Sverre Lunøe-Nielsen and John Rognes  
Jacob Lurie home page
Derived Algebraic Geometry I: Stable ∞-Categories, 2009 Jacob Lurie 
2010 course on chromatic homotopy theory Jacob Lurie 
Derived Algebraic Geometry X: : Formal moduli problems, 2011 Jacob Lurie 
Derived Algebraic Geometry XIII: Rational and p-adic Homotopy Theory, 2011 Jacob Lurie 
Course Syllabus for Math 287: Algebraic L-Theory and Surgery, 2011 Jacob Lurie 
Higher Topos Theory, 2009 book, revised 2017 MR2522659
 Jacob Lurie 
A survey of elliptic cohomology, 2009 MR2597740 Jacob Lurie 
On the Classification of Topological Field Theories, 2010 MR2555928 Jacob Lurie 
Derived Algebraic Geometry VII: Spectral Schemes, 2011 Jacob Lurie 
Rotation invariance in algebraic K-theory, 2015 Jacob Lurie 
Higher Algebra, 2017 Jacob Lurie 
Elliptic Cohomology I: Spectral Abelian Varieties, February, 2018 Jacob Lurie 
The Fargues-Fontaine Curve, 2018 (external link) Jacob Lurie 
Elliptic Cohomology II: Orientations, April, 2018 Jacob Lurie 
Full Level Structures on Elliptic Curves, September, 2018 Jacob Lurie 
Spectral Algebraic Geometry (Under Construction!), 2018 Jacob Lurie 
Ultracategories, 2019? Jacob Lurie 
Elliptic Cohomology III: Tempered Cohomology, 2019 Jacob Lurie 
Kerodon, 2025 (external link to ongoing work). An online resource for homotopy-coherent mathematics.
Pdf file of 6/7/24, 2112 pages. Pdf file of 7/31/24, 2364 pages. Pdf file of 9/25/24, 2481 pages. Pdf file of 2/16/26, 2509 pages. 		Jacob Lurie 
Simplicial functors and stable homotopy theory, 1998 Manos Lydakis  
Smash products and Γ-spaces, 1999 Manos Lydakis  
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Categories for the Working Mathematician
Searchable version 19.7 MB 		Saunders Mac Lane, 1909-2005  
Sheaves in Geometry and Logic: A First Introduction to Topos Theory, 1992 Saunders Mac Lane and Ieke Moerdijk  
The Cyclotomic Trace in Algebraic K-Theory, 1994 Ib Madsen  
Algebraic K-theory and traces, 1995 Ib Madsen  
Algebraic Topology, 1984 Ib Madsen and Robert Oliver  
The Metastable Homotopy of Sn, 1967, scanned by Carl McTague Mark Mahowald, 1931-2013
A new infinite family in 2π*S, 1977 Mark Mahowald
Ring spectra which are Thom complexes, 1979 Mark Mahowald  
bo-resolutions, 1981 Mark Mahowald
The Image of J in the EHP Sequence, 1982 Mark Mahowald
Root Invariants and Periodicity in Stable Homotopy Theory, 1988 Mark Mahowald and Paul Shick
Brown-Comenetz duality and the adams spectral sequence, 1999 Mark Mahowald and Charles Rezk  
Topological modular forms of level 3, 2009 Mark Mahowald and Charles Rezk  
The Kervaire invariant in homotopy theory, 2010 Mark Mahowald and Paul Goerss  
Cellular categories, 2013 M. Makkai and J. Rosický  
Home page of Cary Malkiewich
A users guide: Coassembly and the K-theory of finite groups, 2015 Cary Malkiewich  
A users guide: Homotopy colimits via the bar construction , 2014 Cary Malkiewich  
Coassembly and the K-theory of finite groups, 2015 Cary Malkiewich  
Cyclotomic structure in the topological Hochschild homology of DX, 2017 Cary Malkiewich  
The topological cyclic homology of the dual circle, 2017 Cary Malkiewich  
Coassembly is a homotopy limit map, 2020 Cary Malkiewich and Mona Merling  
Fundamental theorems for THH, 2021 Cary Malkiewich  
Spectra and stable homotopy theory, draft version, first 6 chapters, 2023
draft version, first 10 chapters, and 3 appendices 2026. 		Cary Malkiewich  
Le theoreme de Quillen, dadjonction des foncteurs derives, revisite. , 2007 G. Maltsiniotis  
Equivariant orthogonal spectra and S-modules, 2002. See also Equivariant orthogonal spectra, 2010, a 39 page version of the above written for the MSRI Kervaire invariant workshop. Michael Mandell and J.P. May  
E∞ algebras and p-adic homotopy theory, 2001 Michael Mandell
Cochains and homotopy type, 2006 Michael Mandell
Operads and Operadic Algebras in Homotopy Theory, 2019 Michael Mandell
Model categories of diagram spectra, 2001 Michael Mandell, J.P. May, S. Schwede and B. Shipley  
The theory of commutative formal groups over fields of finite characteristic , 1963 Yu I.Manin  
A BP analog of Lin’s Theorem and the Realization of A(n)*, 1994 Binhua Mao 
Noncommutative motives and their applications, 2015 Matilde Marcolli and Goncalo Tabuada
Spectra and the Steenrod algebra, 1983 H.R. Margolis, 1943-2000 
Operads in Algebra, Topology and Physics, 2002 Martin Markl, Steve Shnider and Jim Stasheff
Cohomological dimension of Mackey functors for infinite groups, 2006 C. Martinez-Perez, B.E.A. Nucinkis
The cohomology structure of certain flbre spaces I , 1965 W.S. Massey and F.P. Peterson 
Home page of Akhil Mathew
The Dold-Kan correspondence between simplicial abelian groups and chain complexes, 2011 Akhil Mathew
The Notes on Chapter 1 of HTT, 2011 Akhil Mathew
On a nilpotence conjecture of J. P. May, 2015 Akhil Mathew, Niko Naumann, Justin Noel
Affineness and chromatic homotopy theory, 2015 Akhil Mathew and Lennart Meier
The homology of tmf, 2016 Akhil Mathew
Nilpotence and descent in equivariant stable homotopy theory, 2017 Akhil Mathew, Niko Naumann, Justin Noel
Derived induction and restriction theory, 2019 Akhil Mathew, Niko Naumann, Justin Noel
The Picard group of topological modular forms via descent theory, 2016 Akhil Mathew and Vesna Stojanoska
The Galois group of a stable homotopy theory, 2016 Akhil Mathew
Examples of descent up to nilpotence, 2017 Akhil Mathew
On K(1)-local TR, 2021 Akhil Mathew
Some recent advances in topological Hochschild homology, 2022 Akhil Mathew
Higher spectral sequences, 2021 Benjamin Matschke
A structure theorem for RO(C2)-graded Bredon cohomology Clover May
Papers and books of Peter May
1965---1982       1982---1994       1995---  
Use Chrome (not Edge) for these links.
Simplicial objects in algebraic topology, 1967, searchable version J. P. May
Matric Massey products, 1969 J. P. May
The Geometry of Iterated Loop Spaces, 1972 (184 pages).
2007 edition (94 pages) retypeset by Nicholas Hamblet. 		J. P. May
Classifying spaces and fibrations, 1975. J. P. May
E∞ ring spaces and E∞ ring spectra, 1977. J. P. May with contributions by Frank Quinn, Nigel Ray, and Jørgen Tornehave
A∞ ring spaces and algebraic K-theory, 1978. J. P. May
Pairings of categories and spectra, 1980.
Multiplicative infinite loop space theory , 1982.
External link   		J. P. May 
Equivariant homotopy and cohomology theory
  (Alaska notes, 1996 book)
  1   2   3   4   5   6 		J. P. May 
BRAVE NEW Operadic tensor products and smash products, 1996?. J. P. May
BRAVE NEW WORLDS IN STABLE HOMOTOPY THEORY, 1998. J. P. May
A Concise Course in Algebraic Topology, 1999 book . J. P. May
The additivity of traces in triangulated categories, 2001
J. P. May
What precisely are E∞ ring spaces and E∞ ring spectra?, 2009. J. P. May
The construction of E∞ ring spaces from bipermutative categories, 2009. J. P. May
A reduction of the Segal conjecture, 1982   J. P. May and J. E. McClure
Equivariant infinite loop space theory I. The space level story, 2017 J. Peter May, Mona Merling and Angelica M. Osorno
More concise algebraic topology: Localization, completion, and model categories, 2012 book. J. P. May  and K. Ponto
Parametrized Homotopy Theory, 2006 J. P. May  and J. Sigurdsson
The homotopy theory of equivariant posets, 2017 J. P. May,  Marc Stephan and Inna Zakharevich
Operads, moperads, and bioperads, 2024 J. P. May
A relative Lubin--Tate theorem via meromorphic formal geometry 2015   A. Mazel-Gee, E. Peterson and N. Stapleton
A users guide to co/cartesian fibrations,2015   A. Mazel-Gee
Model ∞-categories I: some pleasant properties of the ∞-category of simplicial spaces, 2014 Aaron Mazel-Gee
𝔼∞ automorphisms of motivic Morava E-theories, 2019 Aaron Mazel-Gee
The universality of the Rezk nerve, 2019 Aaron Mazel-Gee
Model ∞-categories II: Quillen adjunctions, 2021 Aaron Mazel-Gee
Model ∞-categories III: the fundamental theorem, 2021 Aaron Mazel-Gee
All about the Grothendieck construction, 2015 Aaron Mazel-Gee
Quillen adjunctions induce adjunctions of quasicategories, 2016 Aaron Mazel-Gee
Hammocks and fractions in relative ∞-categories, 2018 Aaron Mazel-Gee
Goerss-Hopkins obstruction theory for ∞-categories, 2024 Aaron Mazel-Gee
Universal extensions and one dimensional crystalline cohomology, 1974 Barry Mazur and William Messing
An equivariant tensor product on mackey functors, 2016 Kristen Luise Mazur 
On curves in K-theory and TR, 2024.   Jonas McCandless
The cyclic homology of an exact category, 1994.   Randy McCarthy
A Users guide to spectral sequences, Second edition, 2001 book.   John McCleary
On the topological Hochschild homology of bu. I, 1993   J. E. McClure and R. E. Staffeldt
THH(R) ≅ R ⊗ S1 for E∞ ring spectra, 1997   J. McClure, R. Schw�nzl and R. Vogt
A solution of Delignes Hochschild cohomology conjecture, 2002   James E. McClure and Jeffrey H. Smith
Multivariable cochain operations and little n-cubes, 2003   James E. McClure and Jeffrey H. Smith
Cosimplicial objects and little n-cubes, I, 2004   James E. McClure and Jeffrey H. Smith
Classifying spaces and infinite symmetric products, 1969   M. C. McCord 
Homology Fibrations and the "Group-Completion" Theorem, 1976   D. McDuff and G. Segal  
Topological Hochschild homology, 2018   David Mehrle
Koszul resolutions over incomplete Tambara functors for cyclic p-groups, 2024   David Mehrle, J.D. Quigley and Michael Stahlhauer
Pathological computations of Mackey functor-valued Tor over cyclic groups, 2024   David Mehrle, J.D. Quigley and Michael Stahlhauer
Model Categories are Fibrant Relative Categories, 2015   Lennart Meier 
Elliptic Homology and Topological Modular Forms, 2017   Lennart Meier 
Connective Models for Topological Modular Forms of Level n, 2021   Lennart Meier 
Norms of Eilenberg-Mac Lane Spectra and Real Bordism, 2020   Lennart Meier, Xiaolin Danny Shi, and Mingcong Zeng
The localized slice spectral sequence, norms of Eilenberg-Mac Lane Spectra, and the Segal conjecture, 2023   Lennart Meier, Xiaolin Danny Shi, and Mingcong Zeng
Transchromatic phenomena in the equivariant slice spectral sequence, 2024   Lennart Meier, Xiaolin Danny Shi, and Mingcong Zeng
Universal extensions and one dimensional crystalline cohomology, 1970 William Messing
The Crystals Associated to Barsotti-Tate Groups, 1972 William Messing
Haynes Miller’s manuscript collection
Some Algebraic Aspects of the Adams-Novikov Spectral Sequence, 1974   H. R. Miller 
On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space, 1981   H. R. Miller 
Finite localizations, 1992   H. R. Miller 
THE BURNSIDE BICATEGORY OF GROUPOIDS, 2012   H. R. Miller 
SHEAVES, GRADINGS, and THE EXACT FUNCTOR THEOREM   H. R. Miller 
KERVAIRE INVARIANT ONE, Bourbaki Seminar, 2010   H. R. Miller 
Uniform twisted homological stability, 2024   Jeremy Miller, Peter Patzt, Dan Petersen, and Oscar Randal-Williams
Milne’s home page
Introduction to Shimura Varieties   J. S. Milne 
Milnor’s home page
On manifolds homeomorphic to the 7-sphere, 1956 John Milnor 
The Steenrod Algebra and Its Dual, 1958 John Milnor 
On the Cobordism Ring Ω* and a Complex Analogue, Part I, 1960 John Milnor 
Morse theory, 1963 John Milnor 
On the Structure of Hopf Algebras, 1965 John Milnor and John C. Moore
Differential Topology 46 years later (preliminary draft) John Milnor 
Videos of three lectures on differential topology, 1965 John Milnor 
Characteristic Classes, 1974
TeXromancers edition, 2022 		John Milnor and James Stasheff 
Homotopy Theory of Lie Groups (Chapter 19), 1995 Mamoru Mimura
A note on the divisibility of the Whitehead square, 2021 Haruo Minami
The Kervaire invariant one element and the double transfer, 1995 Norihiko Minami 
The Adams Spectral Sequence and the Triple Transfer, 1995 Norihiko Minami 
Hecke Algebras and Cohomotopical Mackey Functors, 1999 Norihiko Minami 
On the Chromatic Tower, 2003 Norihiko Minami 
Guido’s Book of Conjectures, 2006 A gift to Guido Mislin
Stable splittings derived from the Steinberg module, 1983 Stephen A. Mitchell  1951-2017
The Morava K-theory of algebraic K-theory spectra, 1990 Stephen A. Mitchell
Notes on the K-theory of Finite Fields, ≥ 1991 Stephen A. Mitchell
On the Lichtenbaum-Quillen Conjectures from a Stable Homotopy-Theoretic Viewpoint, 1994 Stephen A. Mitchell
How I Became a Mathematician, 2002 Steve Mitchell 
K(1)-local homotopy theory, Iwasawa theory and algebraic K-theory, 2005, see pages 955-1010 of Handbook of K-theory Stephen A. Mitchell 
Homotopy theory for beginners, 2015 Jesper M. Møller
The equivariant Serre spectral sequence, 1993 I. Moerdijk and J.-A. Svensson
Dendroidal sets, 2007 I. Moerdijk and I. Weiss
On inner Kan complexes in the category of dendroidal sets, 2009 I. Moerdijk and I. Weiss
A Mysterious Tensor Product in Topology, 2023 I. Moerdijk
Modules over the Steenrod algebra, 1972 John C. Moore and Franklin. P. Peterson
p-adic analysis and zeta functions, 1970 Paul Monsky
The Relative Brauer Group of K(1)-Local Spectra, 2024 Itamar Mor
Picard and Brauer groups of K(n)-local spectra via profinite Galois descent, 2025 Itamar Mor
The moduli variety for formal groups, 1972, unpublished but shown here with the Jack´s permission after he found a copy of it 50 years later. This may be the earliest account of the ideas that led to chromatic homotopy theory. It describes what is now known as the moduli stack of formal groups. It is reviewed in my Glasgow lecture of May 24, 2022. This is John Rognes’ transcription of the original photocopy. Jack Morava 1944-2025
Noetherian localisations of categories of cobordism comodules, 1985 Jack Morava 
Local fields and extraordinary K-theory, 2012 Jack Morava 
Moonshine elements in elliptic cohomology, 2007 Jack Morava 
Forms of K-theory, 1989 Jack Morava 
On the motivic π0 of the sphere spectrum, 204 Fabien Morel 
Periodic phenomena in stable motivic homotopy theory, 2026 Jackson Morris
The Fargues-Fontaine curve and diamonds [d´apres Fargues, Fontaine, et Scholze], 2018 Matthew Morrow
Cohomology operations and applications in homotopy theory, 1968 Robert E. Mosher and Martin C. Tangora
Cubical Homotopy Theory, 2015 Brian Munson and Ismar Volić 
Papers of Hirofumi Nakai
An algebraic generalization of image J Hirofumi Nakai 
Introduction to equivariant homotopy theory, 2018
See Groupe de Travail: Higher Algebra and Geometry (Jussieu 2017-2018) for related papers and notes. 		Denis Nardin 
Parametrized higher category theory and higher algebra: Expose IV -- Stability with respect to an orbital ∞-category, 2016 Denis Nardin 
Parametrized and equivariant higher algebray, 2022 Denis Nardin and Jay Shah
A symmetric monoidal fracture square, 2024 Niko Naumann, Luca Pol and Maxime Ramzi
Separable commutative algebras in equivariant homotopy theory, 2026 Niko Naumann, Luca Pol and Maxime Ramzi
The Galois theory of G-spectra and the Burnside ring, 2026 Niko Naumann, Luca Pol and Maxime Ramzi
Home page of Christian Nassau
1500 stem chart for p=5   800 stem chart for p=5   160 stem chart for p=3   210 stem chart for p=2  
On the secondary Steenrod algebra Christian Nassau 
Papers of Niko Naumann
The stack of formal groups in stable homotopy theory Niko Naumann 
The Smith-Toda complex V((p + 1)/2) does not exist Lee S. Nave 
A Global Crystalline Period Map, 2019 Michael Neaton, Andreas Pieper and Catherine Ray
The connection between the K-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel, 1992 Amnon Neeman 
The chromatic tower for D(R), 1992 Amnon Neeman 
Triangulated Categories, 2001 Amnon Neeman 
RO(G)-graded cohomology for the nonabelain group of order 21, GROOT video of August 10, 2020 Cherry Ng 
An introduction to filtered and synthetic spectra, 2025 Sven van Nigtevecht
Stable ∞-operads and the multiplicative Yoneda lemma, 2016 Thomas Nikolaus
On topological cyclic homology, 2018 Thomas Nikolaus and Peter Scholze
Topological Hochschild homology and cyclic K-theory, 2024 (MFO notes of April, 2018) Thomas Nikolaus
An Alternative to Spherical Witt Vectors, 2024 Thomas Nikolaus and Maria Yakerson
The methods of algebraic topology from the viewpoint of cobordism theory S. P. Novikov 
Homotopy Properties of Thom Complexes S. P. Novikov 
Encyclopaedia of Mathematical Sciences Volume 12, Topology, 1995 book. S. P. Novikov 
Topological Library, Part 1: Cobordisms and Their Applications, 2007 book. S. P. Novikov and I. Taimonov, editors, translated by V.O. Manturov 
Topological Library, Part 2: Characteristic Classes and Smooth Structures on Manifolds, 2010 book. S. P. Novikov and I. Taimonov, editors, translated by V.O. Manturov 
Topological Library, Part 3: Spectral Sequences, 2012 book. S. P. Novikov and I. Taimonov, editors, translated by V. P. Golubyatnikov 
Multiplications on the Moore spectrum, 1984 Shichiro Oka
umModular forms for chromatic homotopy: Supersingular congruences, 2026 Ken Ono
Newton Polygons and Formal Groups: Conjectures by Manin and Grothendieck, 2000 Frans Oort 
Hopf algebras, Witt vectors, and Brown-Gitler spectra, 2019 Morgan Opie
Papers of Kyle Ormsby
Motivic Invariants of p-adic fields, 2012 Kyle Ormsby
The Brauer-Manin Obstruction to the Local-Global Principle for the Embedding Problem, 2017 Ambrus Pál and Tomer M. Schlank
Syntomic cohomology and real topological cyclic homology, 2026 Doosung Park
Chromatic congruences and Bernoulli numbers, 2024 Irakli Patchkoria
Adams spectral sequences and Franke’s algebraicity conjecture, 2021 Irakli Patchkoria and Piotr Pstrągowski
The spectrum of derived Mackey functors., 2022 Irakli Patchkoria, Beren Sanders, and Christian Wimmer
Homotopy theory of symmetric powers, 2015 Dmitri Pavlov and Jakob Scholbach
The Homotopy Type of MSU, 1982 David J. Pengelley
The HF2-homology of C2-equivariant Eilenberg-MacLane spaces, 2022 Sarah Petersen
The Morava E-theory of Eilenberg-Mac Lane spaces, 2011 Eric Peterson
Report on E-theory conjectures seminar, 2013 Eric Peterson
Formal Geometry and Bordism Operations, 2017 Eric Peterson
Cocycle schemes and MU[2k,∞)-orientations, 2018 Eric Peterson
Lectures on cobordism theory, 1967 Franklin P. Peterson, 1930-2000 
Topologicon, graphic novel in French, 2005 Jean-Pierre Petit 
On homotopy groups of EChG24∧ A1, 2023 Vietcuong Pham 
Homotopy theory of diagrams and CW-complexes over a category, 1991 Robert Piacenza 
Conjugation Spaces are Cohomologically Pure, 2021 Wolfgang Pitsch, Nicolas Ricka, and Jerome Scherer 
The RO(C3)-graded Bredon cohomology of C3-surfaces in Z/3-coefficients, 2025 Kelly Pohland
The linearity of traces in monoidal categories and bicategories, 2016 Kate Ponto and Michael Shulman
Steenrod operations in motivic cohomology, 2002 Geoffrey M. L. Powell 
Sylow theorems for ∞-groups, 2017 Matan Prasma and Tomer M. Schlank
A Cellular Construction of BP and Other Irreducible Spectra, 1980 Stewart Priddy 
The equivariant fundamental groupoid as an orbifold invariant, 2021 Dorette Pronk and Laura Scull
Chromatic homotopy is algebraic when p>n2+n+1, 2018 Piotr Pstrągowski
Chromatic Picard groups at large primes, 2018 Piotr Pstrągowski
Abstract Goerss-Hopkins theory, 2019 Piotr Pstrągowski and Paul VanKoughnett
Finite height chromatic homotopy theory, 2021 Piotr Pstrągowski
Perfect even modules and the even filtration, 2023 Piotr Pstrągowski
Synthetic spectra and the cellular motivic category, 2023 Piotr Pstrągowski
Moduli of spaces with prescribed homotopy groups, 2023 Piotr Pstrągowski
On dualizable objects in monoidal bicategories, 2022 Piotr Pstrągowski
Global Picard Spectra and Borel Parametrized Algebra, 2025 Phil P�tzst�ck
The motivic Mahowald invariant, 2019 J.D. Quigley
Motivic Mahowald invariants over general base fields, 2019 J.D. Quigley
Real motivic and C2-equivariant Mahowald invariants, 2021 J.D. Quigley
tmf-based Mahowald invariants, 2021 J.D. Quigley
Some smooth circle and cyclic group actions on exotic spheres, 2022 J.D. Quigley
On the equivalence of two theories of real cyclotomic spectra, 2022 J.D. Quigley and Jay Shah
On the parameterized Tate construction, 2025 J.D. Quigley and Jay Shah
Quillen’s handwritten working papers
Collected by the Clay Foundation
Homotopical algebra, 1967
Latex edition typeset by TEXromancers (Aareyan Manzoor et al), 2022.
Please report errors to amanzoo1-at-asu-edu. 		Daniel Quillen, 1940-2011 
Homology of commutative rings, MIT mimeographed notes, 1968 Daniel Quillen  
On the formal group laws of unoriented and complex cobordism theory, 1969
See pages 20-37 of Quillen’s handwritten notes of March, 1969 for information about Theorem 1. 		Daniel Quillen 
Rational Homotopy Theory, 1969 Daniel Quillen 
Elementary proofs of some results of cobordism theory using Steenrod operations, 1971 Daniel Quillen 
Higher algebraic K-theory: I, 1972 Daniel Quillen 
Multiplicative Equivariant Thom Spectra and Structured Real Orientations, 2025 Ryan Quinn and Qi Zhu
Truncated Brown-Peterson spectra as generalized Thom spectra, 2025 Ryan Quinn
A convenient approach to grading in homotopy theories, 2025 Ryan Quinn
Localization theorems in equivariant cohomology, 2025 Ryan Quinn
The ∞-Categorical Reflection Theorem and Applications, 2022 Shaul Ragimov and Tomer M. Schlank
Topological Hochschild homology and Mac Lane homology - a modern comparison, GROOT video of July 1, 2020 Maxime Ramzi with Geoffrey Horrel
The additivity of traces in stable ∞-categories, 2022 Maxime Ramzi
A monoidal Grothendieck constrction for ∞-categories, 2022 Maxime Ramzi
Separability in homotopical algebra, 2023 Maxime Ramzi
Every spectrum is the K-theory of a stable ∞-category, 2025 Maxime Ramzi, Vova Sosnilo and Christoph Winges
On endomorphisms of topological Hochschild homology, 2025 Maxime Ramzi
Every motive is the motive of a stable ∞-category, 2025 Maxime Ramzi, Vova Sosnilo and Christoph Winges
An elementary proof of the naturality of the Yoneda embedding, 2022 Maxime Ramzi
Dualizable presentable ∞-categories, 2024 Maxime Ramzi
Locally rigid ∞-categories, 2024 Maxime Ramzi
Separability in homotopy theory and topological Hochschild homology, PhD thesis, 2024 Maxime Ramzi
p-perfection and group completion of E∞-monoids, 2025 Maxime Ramzi and Maria Yakerson
Localizing motives of Azumaya algebras, 2025 Maxime Ramzi
K(1)-local K-theory of Azumaya algebras, 2025 Maxime Ramzi
Free rigid commutative algebras, 2026 Maxime Ramzi
Chromatic Noshift, 2026 Maxime Ramzi
Expository notes and slides by Maxime Ramzi
Ramified Extensions Don’t Lift The Nil- and A1-Invariance of Periodic Cyclic Homology
On Bass’ Trace Conjecture On Waldhausen’s Obstruction to Connectivity
The Eilenberg-Moore Spectral Sequence The Effective Burnside Category of Finite Free G-Sets as the Free Semi-Additive Category on BG
Slides: Texas Tech Topology and Geometry Seminar Slides: Siyuan Algebraic Topology Seminar
Slides: Real THH in Venice Workshop Examples of Finiteness Obstructions
Ordinals Filtered Colimits are Left Exact
Adic Spaces Equivariant Stable Homotopy Theory
Full Dualizability Finite Colimits and Excisiveness
HH as an Obstruction to Algebraic Structure Finiteness Obstructions for G-Spectra
Associative Square-Zero Extensions A Twisted Universal Coefficient Theorem
P-Adic Stuff f2 = 0
Introduction to Algebraic K-Theory The Bousfield-Kan Formula
Center of a Monad Small Idempotent Algebras
Inverting an Element in a Commutative Algebra Fundamental Infinity-Groupoid of a Space
The Infinity-Category of Spectra Symmetric Monoidal Adjunctions
Introduction to Ordinals Completeness of Propositional Logic
Topological Dynamics and Ramsey Theory Idempotent Lifting
Introduction to Universal Properties and Categories Finite Fields
Polynomial Equations: From Local Solutions to Global Solutions
End of Ramzi’s notes
On the work of Michel Kervaire in surgery and knot theory
Slides of lecture given at Kervaire memorial symposium, Geneva, 10-12 February, 2009. 		Andrew Ranicki, 1948-2018
On the work of Michel Kervaire in surgery and knot theory
Addendum to slides above, 29 May, 2009. 		Andrew Ranicki 
Algebraic and Geometric Topology, 1983 Edited by Andrew Ranicki, Norm Levitt and Frank Quinn
On the Cofibrant Generation of Model Categories, 2009. George Raptis
HOMOTOPY THEORY OF POSETS, 2010. George Raptis
Higher homotopy categories, higher derivators, and K-theory , 2019. George Raptis
The cotangent complex and Thom spectra , 2020. Nima Rasekh and Bruno Stonek
Thom spectra, higher THH and tensors in ∞-categories , 2022. Nima Rasekh, Bruno Stonek and Gabriel Valenzuela
On the Dundas-Goodwillie-McCarthy theorem , 2018. Sam Raskin
Khovanov homology and the slice genus, 2004. Jacob Rasmussen
An HKR theorem for factorization homology , 2023. Hari Rau-Murthy
π*(ko) and some of π*(tmf) at the prime 2, 2017 Catherine Ray 
Overview of the Classic Theory of p-Divisible Groups, 2019 Catherine Ray 
A geometrical observation on the Arf invariant of a framed manifold Nigel Ray 
Factorization of Chebyshev Polynomials Mohamed Omar Rayes, Vilmar Trevisan and Paul S. Wang
Homotopy theory of model categorie, 1974 C. L. Reedy
A Formula for p-Completion by Way of the Segal Conjecture, 2022 Sune Precht Reeh, Tomer M. Schlank and Nathaniel Stapleton
Evaluation maps and transfers for free loop spaces I, 2021 Rune Precht Reeh, Tomer M. Schlank and Nathaniel Stapleton
Evaluation maps and transfers for free loop spaces II, 2021 Rune Precht Reeh, Tomer M. Schlank and Nathaniel Stapleton
Spaces of algebra structures and cohomology of operads, thesis, 1996 Charles Rezk
On the Adams isomorphism for equivariant orthogonal spectra, 2016 H. Reich and M. Varisco
Notes on the Hopkins-Miller theorem, 1997? Charles Rezk
Fibrations and homotopy colimits of simplicial sheaves, 1998 Charles Rezk
A model for the homotopy theory of homotopy theory, 2001 Charles Rezk
Supplemetary notes for Math 512, 2002 Charles Rezk
Stuff about quasicategories, 2019 Charles Rezk
Introduction to quasicategories, 2022 Charles Rezk
Simplicial structures on model categories and functors, 2001 Charles Rezk, Stefan Schwede, and Brooke Shipley
Commutative ring spectra, 2020 Birgit Richter
Equivariant Anderson duality and Mackey functor duality, 2015 Nicolas Ricka
Aubalgebras of the Z/2-equivariant Steenrod algebra, 2016 Nicolas Ricka
Home page of Emily Riehl
A model structure for quasi-categories, 2008 Emily Riehl
A leisurely introduction to simplicial sets, 2011 Emily Riehl
The theory and practice of Reedy categories, 2013 Emily Riehl and Dominic Verity
Categorical homotopy theory, 2014 MR3221774 Errata Emily Riehl
Category Theory in Context, 2017 Emily Riehl
Inductive presentations of generalized Reedy categories, 2018 Emily Riehl
Homotopy coherent adjunctions and the formal theory of monads, 2013 Emily Riehl and Dominic Verity
Recognizing quasi-categorical limits and colimits in homotopy coherent nerves, 2019 Emily Riehl and Dominic Verity
Elements of ∞-Category Theory, 2021
Github version , 2022 		Emily Riehl and Dominic Verity
∞-category theory from scratch, 2020
Github version , 2022 		Emily Riehl and Dominic Verity
More Elements of ∞-Category Theory, August, 2020, book mss with additional chapters to appear as separate book, 748 pages Emily Riehl and Dominic Verity
Opérations de Steenrod motiviques, 2012 Joël Riou
K-theory and the bridge from motives to noncommutative motives, 2015
 Marco Robalo
A Course in p-adic Analysis, 2000 Alain M. Robert
Papers of John Rognes
Algebraic K-theory of finitely presented ring spectra, 2000 John Rognes
Galois extensions of structured ring spectra
Stably dualizable groups, 2008 		John Rognes
Chromatic Redshift, 2014 Slides John Rognes
Algebraic K-theory of strict ring spectra, 2014 John Rognes
Topological cyclic homology of the integers at two, 1999 John Rognes
Algebraic K-theory of the two-adic integers, 1999 John Rognes
The Davis-Mahowald spectral sequence, slides, 2016 John Rognes
Model categories, course notes, 2018 John Rognes
The circle action on topological Hochschild homology of complex cobordism and the Brown-Peterson spectrum, 2020 John Rognes
Lichtenbaum-Quillen for truncated Brown-Peterson spectra, notes for Oberwolfach talk of October 16, 2024 John Rognes
A straight way to algebraic stacks, 2003 Matthieu Romagny
The fundamental theorem of alternating functions, 2005 Matthieu Romagny
The first stable homotopy groups of motivic spheres, 2019 Oliver Röndigs, Markus Spitzweck, and Paul Arne Østvær
The motivic slice spectral sequence, slides for eCHT reading course, November, 2019.
External links to Zoom recordings of First talk, Second talk, Third talk. 		Oliver Röndigs
An Introduction to Algebraic Topology, 1998 Joseph J. Rotman
Combinatorial N∞ operads, 2021 Jonathan Rubin
Normed symmetric monoidal categories, 2020 Jonathan Rubin
On Thom Spectra, Orientability, and Cobordism, 1998 Yuli B. Rudyak
Z2-equivariant James construction, 1992 Slawomir Rybicki
Height four formal groups with quadratic complex multiplication, 2021 Andrew Salch
Ravenel’s May spectral sequence collapses immediately at large primes, 2023 Andrew Salch
The action of the Morava stabilizer group on the coefficients of Morava E-theory at height 2, 2025 Andrew Salch
KU-local zeta-functions of finite CW-complexes, 2025 Andrew Salch
On the Cp-equivariant dual Steenrod algebra, 2022 Krishanu Sankar and Dylan Wilson
Stable equivariant abelianization, its properties, and applications, 2009 Pedro F. dos Santos and Zhaohu Nie
Dieudonné Module Structures for Ungraded and Periodically Graded Hopf Rings, 2010 Rui Miguel Saramago
p-adic etale Tate twists and arithmetic duality, 2006 Kanetomo Sato
A transchromatic proof of Strickland’s theorem, 2015 Tomer M. Schlank and Nathaniel Stapleton
The ∞-Categorical Eckmann-Hilton Argument, 2019 Tomer M. Schlank and Lior Yanovski
Higher Algebra and Stable Homotopy Groups, 2026 Tomer M. Schlank
On d-Categories and d-Operads, 2019 Tomer M. Schlank and Lior Yanovski
On the Brauer-Manin Obstruction Applied to Ramified Covers, 2011 Tomer M. Schlank
Etude de la categorie des algebres de Hopf commutatives connexes sur un corps, 1970 Colette Schoeller
Home page of Peter Scholze
Perfectoid spaces, 2011 Peter Scholze
Perfectoid spaces: A survey, 2012 Peter Scholze
Moduli of p-divisible groups , 2013 Peter Scholze with Jared Weinstein
p-adic Hodge theory for rigid analytic spaces , 2013 Peter Scholze
p-adic geometry, 2018 Peter Scholze
On the p-adic cohomology of the Lubin-Tate tower, 2018 Peter Scholze
Etale cohomology of diamonds, 2018 Peter Scholze
Berkeley lectures on p-adic geometry, 2019 Peter Scholze with Jared Weinstein
Lectures on Analytic Geometry, 2019 Peter Scholze
Lectures on Condensed Mathematics, 2020 Peter Scholze
Six-Functor Formalisms, 2025 Peter Scholze
Strong cofibrations and fibrations in enriched categories, 2002 R. Schwänzl and R. M. Vogt
Unstable Modules over the Steenrod algebra and Sullivan’s Fixed Point Set Conjecture, 1994 Lionel Schwartz
Stefan Schwede’s home page
Spectra in model categories and applications to the algebraic cotangent complex, 1997 Stefan Schwede
Algebras and modules in monoidal model categories, 2000 Stefan Schwede and Brooke Shipley
A uniqueness theorem for stable homotopy theory, 2002 Stefan Schwede and Brooke Shipley
Equivalences of monoidal model categories, 2003 Stefan Schwede and Brooke Shipley
Stable model categories are categories of modules, 2003, aka Classification of stable model categories MR1928647 Stefan Schwede and Brooke Shipley
S-modules and symmetric spectra, 2001 Stefan Schwede
An untitled book project about symmetric spectra, 2007 Stefan Schwede
The p-order of topological triangulated categories, 2013 Stefan Schwede
Equivariant properties of symmetric products, 2017 Stefan Schwede
Lectures on equivariant stable homotopy theory, 2018 Stefan Schwede
Global homotopy theory, 2018 Stefan Schwede
Orbispaces, orthogonal spaces, and the universal compact Lie group, 2019 Stefan Schwede
Classifying spaces and spectral sequences, 1968 Graeme Segal
Equivariant stable homotopy theory, 1970 Graeme Segal
Categories and cohomology theories, 1974 Graeme Segal
The Brown-Peterson spectrum is not E2(p2+2) at odd primes, 2024 Andrew Senger
Homologie Singuliere Des Espaces Fibres, 1951 Jean-Pierre Serre
Cohomologie modulo 2 des complexes d´Eilenberg-MacLane, 1953 Jean-Pierre Serre
Groupes D´Homotopie Et Classes De Groupes Abeliens, 1953 Jean-Pierre Serre
Linear representations of finite groups, 1967 Jean-Pierre Serre
A Course in Arithmetic, 1973 Jean-Pierre Serre
Local Fields, 1979 Jean-Pierre Serre
Jay Shah’s 2020 website
Parametrized higher category theory, thesis 2016 Jay Shah
Parametrized higher category theory, slides 2017 Jay Shah
The theory of spectral Mackey functors, slides 2017 Jay Shah
The theory of real cyclotomic spectra, video 2019 external link Jay Shah
Parametrized higher category theory and higher algebra, 2022
Published version, 2023 		Jay Shah
Algebraic redshift in the C2-equivariant Adams spectral sequence,2026 Paul Shick
Papers and preprints of Katsumi Shimomura
The homotopy groups π*(L2S0), 1995 Katsumi Shimomura and Atsuko Yabe
The Adams-Novikov E2 -term for π*(L2S0) at the prime 2, 2002 Katsumi Shimomura and Xiangjun Wang
The homotopy groups π*(L2S0) at the prime 3, 2002 Katsumi Shimomura and Xiangjun Wang
The beta elements βtp2/r in the homotopy of spheres, 2010 Katsumi Shimomura
Symmetric Spectra and Topological Hochschild Homology, 2000 Brooke Shipley
Monoidal Uniqueness of Stable Homotopy Theory, 2001 Brooke Shipley
A convenient model category for commutative ring spectra, 2004 Brooke Shipley
Three talks at Young Women in Topology Conference, Bonn, June 2010 Brooke Shipley
Homotopy limits and colimits and enriched homotopy theory, 2009 Michael Shulman
Comparing composites of left and right derived functors, 2011 Michael Shulman
Enriched indexed categories, 2013 Michael Shulman
Reedy categories and their generalizations, 2015 Michael Shulman
All (∞, 1)-toposes have strict univalent universes, 2019 Michael Shulman
The arithmetic of elliptic curves , 1986 Joseph H. Silverman
Connective fiberings over BU and U , 1968 William M. Singer
Computations of complex equivariant bordism rings, 2001 Dev Sinha
Bordism of semi-free S1 -actions, 2005 Dev Sinha
Klein Four 2-slices and the Slices of Σ±nHℤ, 2021
Slice towers of trivial supensions of HF_2 cover over C_2 , GROOT video of July 5, 2020
Cahracterizing 2-slices over C_2 and K_4 , GROOT video of 2020 		Carissa Slone
The E∞ -structures and differentials of the Adams spectral sequence, 2001 V. A. Smirnov
The A∞ -structures and differentials of the Adams spectral sequence, 2002 V. A. Smirnov
Homotopy theories of algebras over operads, 2005 in Matematicheskie Zametki V. A. Smirnov  
Homotopy theories of algebras over operads, 2005 in HHA V. A. Smirnov
Secondary Steenrod Operations in Cohomology of Infinite-Dimensional Projective Spaces, 2006 V. A. Smirnov
Bott’s periodicity theorem and differentials of the Adams spectral sequence of homotopy groups of spheres, 2008 V. A. Smirnov
Differentials of the Adams Spectral Sequence and the Kervaire Invariant, 2009 V. A. Smirnov
On the moduli stack of commutative, 1-parameter formal lie groups
69 page thesis version, 2007    44 page published version, 2010 		Brian Smithling  
A Stable Decomposition of ΩnSnX, 1974 Victor Snaith
Algebraic cobordism and K-theory, 1979 Victor Snaith
The Arf-Kervaire invariant of framed manifolds, 2009 Victor Snaith
Algebraic Topology, 1965. Free download from Springer, chapter by chapter or entire book 53MB. Edwin Spanier, 1921-1996
Function Spaces and Duality, 1959. Edwin Spanier
On the K-theory of truncated polynomial algebras, revisited, 2020 Martin Speirs
Generalized Mackey and Tambara Functors, 2024 Benjamin Spitz
Operads, Algebras and Modules in Model Categories and Motives, 2001 Markus Spitzweck
Motivic twisted K-theory, 2012 Markus Spitzweck and Paul Arne Østvær
constructing model categories with prescribed fibrant objects, 2014 Alexandru E. Stanculescu
The Stacks Project, 2005-present, external link.
The Stacks project now, as of February 2026, consists of
7641 pages, 765808 lines of code, 21394 tags, 3292 sections, 116 chapters, and 244 slogans. 		Columbia University
What is the stacks project? 2010 blog
Periodic self maps and thick ideals in the stable motivic homotopy category over $\mathbb{C}$ at odd primes, 2021 Sven-Torben Stahn
Home page of Nat Stapleton
Lubin-Tate theory, character theory, and power operations, to appear in the Handbook of Homotopy Theory, 2018. Nat Stapleton
Subgroups of p-divisible groups and centralizers in symmetric groups, 2013 Nat Stapleton
Transchromatic Twisted Character Maps, 2013   Nat Stapleton
Transchromatic Generalized Character Maps, 2014 Nat Stapleton
A canonical lift of Frobenius in Morava E-theory, 2016 Nat Stapleton
Lubin-Tate theory, character theory, and power operations, 2018 Nat Stapleton
Homotopy associativity of H-spaces. I, 1963 Jim Stasheff
Homotopy associativity of H-spaces. II, 1963 Jim Stasheff
What is ... an operad?, 2004 Jim Stasheff
Cohomology Operations, 1962 Lectures by N. E. Steenrod (1910-1971)
written and revised by D. B. A. Epstein
A canonical operad pair, 1979 Richard Steiner
On equivariant homotopy theory for model categories, 2016 Marc Stephan 
A directory of higher G-algebra, 2024 Natalie Stewart  
Equivariant operads, symmetric sequences, and Boardman-Vogt tensor products, 2025 Natalie Stewart
On tensor products with equivariant commutative operads, 2025 Natalie Stewart
Formal group laws arising from algebraic varieties Jan Stienstra 
Formal groups and congruences for L-functions Jan Stienstra 
Papers of Vesna Stojanoska
Duality for Topological Modular Forms, 2013 Vesna Stojanoska 
Calculating descent for 2-primary topological modular forms, 2014 Vesna Stojanoska 
Equivariant Structure on Smash Powers of Commutative Ring Spectra, 2011
See Brun-Dundas-Stolz for a 2016 revision. 		Martin Stolz 
Notes on Cobordism Theory, 1968
Table of contents 		Robert E. Stong, 1936-2008  
SU(n)/SO(n): Landweber’s manifolds, 2006, handwritten notes Robert E. Stong  
Bicategories and 2-categories, 1998 Ross Street 
Functorial philosophy for formal phenomena, 1996? Neil Strickland 
Formal schemes and formal groups, 2000 Neil Strickland 
The category of cgwh spaces, 2009 Neil Strickland 
Tambara functors, 2012 Neil Strickland 
Gross-Hopkins duality, 1999 Neil Strickland 
Note on cofibrations II, 1968 Arne Strøm
The homotopy category is a homotopy category, 1972 Arne Strøm
Categorification of Smith Theory, 2023 Vignesh Subramanian
Geometric Topology: Localization, Periodicity, and Galois Symmetry,
1970 MIT notes edited by Andrew Ranicki		 Dennis Sullivan 
A slice refinement of Bokstedt periodicity, 2020 Yuri J. F. Sulyma
∞-categorical monadicity and descent, 2017 Yuri J. F. Sulyma
RO(T)-graded TF of perfectoid rings, 2022 Yuri J. F. Sulyma
Floor, ceiling, slopes, and K-theory, 2023 Yuri J. F. Sulyma
Prisms and Tambara functors I: Twisted powers, transversality, and the perfect sandwich, 2023 Yuri J. F. Sulyma
Transfer systems give matroids only for cyclic p-groups, 2026 Yuri J. F. Sulyma
Homology Comodules, 1976 R. M. Switzer
Topology of Σ1,1-singular maps, 2003 Andras Szucs
The chromatic filtration of the Burnside category, 2013 Markus Szymik
Commutative S-algebras of prime characteristics and applications to unoriented bordism, 2014 Markus Szymik
MIT Home page of Gonçalo Tabuada
Higher K-theory via universal invariants, 2008 Gonçalo Tabuada
Homotopy theory of spectral categories, 2009 Gonçalo Tabuada
The Grothendieck Construction and Gradings for Enriched Categories, 1993 Dai Tamaki
On multiplicative transfer, 1993 D. Tambara
p-Divisible Groups, 1967 John T. Tate
On a Spectrum-level Splitting of the BP<2>-Cooperations Algebra, 2022 Elizabeth Tatum
Simple Mackey functors, 1989 DJVU file Jacques Thevenaz and Peter Webb
The structure of Mackey functors, 1995 Jacques Thevenaz and Peter Webb
Quelques propriétés globales des variétés différentiables, 1954 René Thom (1923-2002)
Kontsevich´s Swiss Cheese Conjecture, 2013 Justin D. Thomas
The homotopy limit problem, 1983 Robert Wayne Thomason (1952-1995)
Algebraic K-theory and étale cohomology, 1985 R. W. Thomason
Higher Algebraic K-Theory of Schemes and of Derived Categories, 1990 R. W. Thomason and Thomas Trobaugh
An unstable change of rings for morava E-theory, 2020 Rob Thompson
The Geometry and Topology of Three-Manifolds, 2002 William P. Thurston (1946-2012)
A remark on K-theory and S-categories, 2004 Bertrand Töen and Gabriele Vezzosi
Homotopical Algebraic Geometry I: Topos theory, 2004 Bertrand Töen and Gabriele Vezzosi
Homotopical Algebraic Geometry II: Geometric stacks and applications, 2006 Bertrand Töen and Gabriele Vezzosi
Caractères de Chern, traces èquivariantes et gèomètrie algèbrique dèrivèe, 2011 Bertrand Töen and Gabriele Vezzosi
HKR characters, p-divisible groups and the generalized Chern character Takeshi Torii
On degeneration of one-dimensional formal group laws and applications to stable homotopy theory Takeshi Torii
Chern numbers for singular varieties and elliptic homology Burt Totaro
On the topological cyclic homology of the integers, 1997 Stavros Tsalidis
Topological Hochschild homology and the homotopy descent problem, 1998 Stavros Tsalidis
The homology of matrix Lie algebras over rings and the Hochschild homology, 1983 Boris Tsygan
On fixed point sets of differentiable involutions, 1985 Shian-Wu Tyan
Equivariant Weiss Calculus and Loop Spaces of Stiefel Manifolds, 2016 Philip Douglas Tynan
On the Slice Spectral Sequence, 2012 John Ullman
On the Regular Slice Spectral Sequence, MIT thesis, 2013 (218 pages) John Ullman
Tambara Functors and Commutative Ring Spectra, 2013 John Ullman
The rising sea
Foundations of Algebraic Geometry, 2014 draft, 794 pages. 2025 draft, 852 pages.		 Ravi Vakil
Puzzling though exact sequences: A Bedtime Story with Pictures, 2021. Ravi Vakil
Algebra+Homotopy=Operad, 2012. Bruno Vallette
Detecting periodic elements in higher topological Hochschild homology, 2018. Torlief Veen
Notes on Grothendieck topologies, fibered categories and descent theory, 2007. Angelo Vistoli
Publications of Vladimir Voevodsky (1966-2017)
Reduced power operations in motivic cohomology, 2003. Vladimir Voevodsky
On motivic cohomology with Z/l -coefficients, 2011. Vladimir Voevodsky
Open problems in the motivic stable homotopy theory. I, 2011. Vladimir Voevodsky
Convenient categories of topological spaces, 1971. R.M. Vogt
Homotopy limits and colimits, 1973. R.M. Vogt
Cofibrant operads and universal E∞ operads, 2003. R.M. Vogt
Algebraic K-theory of topological spaces II, 1979. Friedhelm Waldhausen
Algebraic K-theory of spaces, 1985. Friedhelm Waldhausen
Algebraic K-theory of spaces, localization, and the chromatic filtration of stable homotopy theory, 1984. Friedhelm Waldhausen
Spaces of PL manifolds and categories of simple maps, 2013. Friedhelm Waldhausen, Bj�rn Jahren and John Rognes
From Number Theory to Physics, 1992.
with contributions by P. Cartier, J.-B. Bost, H. Cohen, D. Zagier, R. Gergondey, H. M. Stark, E. Reyssat, F. Beukers, G. Christol, M. Senechal, A. Katz, J. Bellissard, P. Cvitanovic and J.-C. Yoccoz		 M. Waldschmidt, P. Moussa, J.-M. Luck and C. Itzykson (Eds.)
The monochromatic Hopf invariant, 2014. Guozhen Wang
The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra, 2016. Guozhen Wang and Zhouli Xu
On the uniqueness of the smooth structure of the 61-sphere, 2016. Guozhen Wang and Zhouli Xu
Some extensions in the Adams spectral sequences and the 51-stem, 2018. Guozhen Wang and Zhouli Xu
Equivariant differential topology, 1967. Arthur Wasserman
A Guide to Mackey Functors, pages 805-836 in Handbook of Algebra vol 2 (ed M. Hazewinkel), Elsevier 2000. Peter Webb
An Introduction to Homological Algebra, 1994, the H book, reprinted 1997. Corrections Charles Weibel
Algebraic K-Theory of Rings of Integers in Local and Global Fields, Handbook of K-theory , 2005 Charles Weibel
The K-book: an introduction to algebraic K-theory, 2013. Charles Weibel
Numbers of solutions of equations in finite fields, 1949. This is where he stated his famous conjectures! Andre Weil
Adic spaces, 2019. Jared Weinstein
From Operads to Dendroidal Sets, 2011 Ittay Weiss
A higher chromatic analogue of the image of J, 2017 Craig Westerland
Monoidal Bousfield Localizations and Algebras over Operads, 2014 (44 pages)
Monoidal Bousfield Localizations and Algebras over Operads, 2018 (29 pages)		 David White
Model structures on commutative monoids in general model categories, 2017 David White
Generalized homology theories, 1962 George W. Whitehead, 1918-2004
Combinatorial Homotopy I, 1949 J. H. C. Whitehead,
Combinatorial Homotopy II, 1949 J. H. C. Whitehead,
The Simplicial EHP Sequence in A1-Algebraic Topology, 2017 Kirsten Wickelgren and Ben Williams
generatingfunctionology, 1994 Herbert S. Wilf
Orientations and Topological Modular Forms with Level Structure, 2016 Dylan Wilson
Power operations for HF2 and a cellular construction of BPR, 2017 Dylan Wilson
On categories of slices, 2017 Dylan Wilson
Mod 2 power operations revisited, 2023 Dylan Wilson
C2-equivariant Homology Operations: Results and Formulas, 2019 Dylan Wilson
The Ω-spectrum for Brown-Peterson cohomology, Part I, 1973 W. Stephen Wilson
The Ω-spectrum for Brown-Peterson cohomology, Part II, 1975 W. Stephen Wilson
The Ω-spectrum for Brown-Peterson cohomology, Part III, 1975 W. Stephen Wilson
Brown-Peterson homology: an introduction and sampler, 1982 W. Stephen Wilson
The Omega spectrum for Pengelley’s BoP, 2020 W. Stephen Wilson
A model for genuine equivariant commutative ring spectra away from the group order, 2019 Christian Wimmer
Affine �tale group schemes over Tambara fields, 2025 Noah Wisdom
Problems in the Steenrod Algebra, 1998 R. M. W. Wood
A splitting theorem for certain cohomology theories associated to BP*(-), 1979 Urs Würgler
On ℤ2-equivariant loop spaces, 2006 Miguel A. Xicoténcatl
The Telescope Conjecture for Global Representations and FI-modules, 2026 Peng Xu
The strong Kervaire invariant problem in dimension 62, 2014 Zhouli Xu
The Homology of Double Loop Spaces of Complex Stiefel Manifolds, 1986 Atsushi Yamaguchi
The structure of the cohomology of Morava stabilizer algebra S(3), 1992 Atsushi Yamaguchi
On the Thom Spectra over Ω(SU(n)/SO(n)) and Mahowald’s Xk Spectra, 1992 Dung Yung Yan
On BP*Ω(SU(n)/SO(n))<.i>, 1996 Dung Yung Yan and Zu Fing Luo
Ring Spectra with Coefficients in V(1) and V(2), I , 1977 Syun-ichi Yanagida and Zen-ichi Yosimura
The $ RO (C_ {2^ n}) $-graded homotopy of $ H\underline {\mathbb {F} _2} $, 2023 Guoqi Yan
A localization theorem for equivariant spectra, 2023 Guoqi Yan
On the extension problems for the 33-stem homotopy groups of the 6-, 7- and 8-spheres, 2024 Juxin Yang and Jie Wu
On normed E%infin;-rings in genuine equivariant Cp-spectra, 2023 Lucy Yang
A filtered Hochschild-Kostant-Rosenberg theorem for real Hochschild homology, 2025 Lucy Yang
Mackey Functors In Equivariant Homotopy and Cohomology Theory
Slides for a talk on June 18, 2011. 		Carolyn Yarnall
The slices of Sn∧HZ for cyclic p-groups, 2017 Carolyn Yarnall
C2-Equivariant Orthogonal Calculus, 2024 Emel Yavuz
C2-equivariant James splitting and C2-EHP sequences, 2021 Ugur Yigit
RO (C2)-graded Cohomology of C2-equivariant Eilenberg-Mac Lane spaces, 2023 Ugur Yigit
On the homology theory of modules, 1954 Nobuo Yoneda
On Ext and exact sequences, 1960 Nobuo Yoneda
On Jacobi sums, multinomial coefficients, and p-adic hypergeometric functions, 1995 Paul Thomas Young
Home page of Allen Yuan
Examples of chromatic redshift in algebraic K-theory, 2021 Allen Yuan
Integral models for spaces via the higher Frobenius, 2023 Allen Yuan
The sphere of semiadditive height 1, 2023 Allen Yuan
Nankai University papers on stable homotopy groups of spheres
Attitudes of K-theory Topological, Algebraic, Combinatorial, 2019 Inna Zakharevich
Exact Maximum-Entropy Estimation with Feynman Diagrams, 2018 Amitai Netser Zernik, Tomer M. Schlank and Ran J. Tessler
RO(G)-graded homotopy Mackey functor of HZ for C_{p^2}, 2017 Mingcong Zeng
Equivariant Eilenberg-MacLane spectra in cyclic p-groups, 2018 Mingcong Zeng
π⋆ HZ for C p n and Homological Algebra, (slides) 2017 Mingcong Zeng
Analogs of Dirichlet L-functions in chromatic homotopy theory, 2020 Ningchuan Zhang
Congruences of Eisenstein series of level Γ1(N) via Dieudonné theory of formal groups, 2020 Ningchuan Zhang
Adams E2 Charts, 2025, external link Yu Zhang
On Nontriviality of a Product in the Classical Adams Spectral Sequence, 2023 Linan Zhong and Hao Zhao
Morava E-homology of Bousfield-Kuhn functors on odd-dimensional spheres, 2018 Yifei Zhu
Equivariant bundles, 2021 Foling Zou
RO(D2p)-graded Slice Spectral Sequence of HZ, (thesis) 2018 Yan Zou
Characters and q-series in Q(√2), 2004 Daniel Corson, David Favero, Kate Liesinger, and Sarah Zubairy


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