Archive of related papers and books by other authors

A

• 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

Adams

• 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 2^l-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

An

• 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, 2025
  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

Angeltveit

• 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 C_n-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

Ant

• 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

Artin

• 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 C_pⁿ-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

B

• 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
• On the Γ-cohomology of rings of numerical polynomials, 2005
  Andrew Baker and Birgit Richter
• 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

Balmer

• 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

Bark

• 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

Barthel

• 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
• Local duality in algebra and topology, 2018
  Tobias Barthel, Drew Heard and Gabriel Valenzuela

Barw

• 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?

  • A general introduction
  • Exposé I - Elements of parametrised higher category theory
  • Exposé II - Parametrised limits and colimits (Shah only)
  • Exposé III - The stratified geometry of parametrised homotopy theory (Barwick and Glasman only)
  • Exposé IV - Stability with respect to an orbital ∞-category (Nardin only)
  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

Bass

• 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 E_n 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
• Infinite loop spaces from operads with homological stability, 2017
  Maria Basterra, Irina Bobkova, Kate Ponto, Ulrike Tillmann and Sarah Yeakel
• Inverting operations in operads, 2018
  Maria Basterra, Irina Bobkova, Kate Ponto, Ulrike Tillmann 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

Be

• 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

Beaudry

• 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

Beh

• 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 S_E(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
• Spectral algebra models of unstable v_n-periodic homotopy theory, 2017
  Mark Behrens and Charles Rezk
• Lie algebra models of unstable v_n-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_*(E₆^hC₉)
  Eva Belmont and Rin Ray
• Bredon homological stability for configuration spaces of G-manifolds, 2023
  Eva Belmont, J.D. Quigley and Chase Vogeli

Bendersky

• 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
• Algebraic K-theory of quotient ring spectra, 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
• Comparison of models for (∞,n)-categories, I, 2013
  Julia Bergner and Charles Rezk
• Reedy categories and the Theta-construction, 2013
  Julia Bergner and Charles Rezk
• 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

Bh

• 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

Bhatta

• 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 A^R(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

Bl

• 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

Blu

• 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:

  • Emily Riehl, Homotopical categories: from model categories to (∞,1)-categories
  • Dan Dugger, Stable categories and spectra via model categories
  • Clark Barwick, Stable homotopy via ∞-categories
  • Michael Mandell, Operads and Operadic Algebras in Homotopy Theory
  • Birgit Richter, Commutative ring spectra
  • Tyler Lawson, An introduction to Bousfield localization
  • Charles Rezk, Spectral algebraic geometry
  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

Bo

• 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
• On the higher topological Hochschild homology of F_p and commutative F_p-group algebras, 2015
  Irina Bobkova, Ayelet Lindenstrauss, Kate Poirier, Birgit Richter and Inna Zakharevich
• Topological resolutions in K(2)-local homotopy theory at the prime 2, 2018
  Irina Bobkova and Paul G. Goerss
• Splittings and calculational techniques for higher THH, 2019
  Irina Bobkova, Eva Höning, Ayelet Lindenstrauss, Kate Poirier, Birgit Richter and Inna Zakharevich
• Spanier–Whitehead duality in the K(2)-local category at p=2, 2020
  Irina Bobkova
• 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
• The E^hC₆-homology of RP₂ and RP₂∧CP₂, 2024
  J. Carlisle, E. Fitz, M. Ji, P. Kilway, H. Kim, K. O’Neal, J. Schuckman, S. Tilton and Irina Bobkova
• 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

Bok

• 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

Br

• 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 v_n-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

  • Front matter
  • Equivariant classical cohomology
  • Equivariant obstruction theory
  • Function spaces, fibrations and spectra
  • Generalized equivariant cohomology
  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
• Invertible braided tensor categories, 2021
  Adrien Brochier, David Jordan, Pavel Safronov and Noah Snyder
• On dualizability of braided tensor categories, 2021
  Adrien Brochier, David Jordan and Noah Snyder
• The Kervaire invariant of framed manifolds and its generalization, 1969
  William Browder 1934-2025

Brown

• 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 z_p cohomology is the algebra of reduced p^th 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

  • Front matter
  • Extended powers and H_∞ ring spectra (May)
  • Miscellaneous applications in stable homotopy theory (May)
  • Homology operations for H_∞ and H_n ring spectra (Steinberger)
  • The homotopy theory of H_∞ ring spectra (Bruner)
  • The homotopy groups of H_∞ ring spectra (Bruner)
  • The Adams spectral sequence of H_∞ ring spectra (Bruner)
  • H_∞ ring spectra via space-level homotopy theory (McClure)
  • Power operations in H^s _∞ ring theories (McClure)
  • The mod p k-theory of QX (McClure)
  • Back matter
  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

Bu

• 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 h_j 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

C

• 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

Carr

• 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 Ω^ρS^ρ+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
• High-corank torsion in homotopy of unitary groups via topological modular forms and higher real K-theories, 2026
  Hood Chatham, Yang Hu and Morgan Opie
• 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

Cho

• 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

Cl

• 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

Co

• Homology of Ω^{n + 1} Σ^{n + 1} X and C_{n + 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
• 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 Ext^m, 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
• Brauer and Etale Homotopy Obstructions to Rational Points on Open Covers, 2020
  David A. Corwin and Tomer M. Schlank
• 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

D

• Continuous K-theory and cohomology of rigid spaces, 2024
  Christian Dahlhausen
• Representability of continuous K-theory in rigid analytic motivic A1-homotopy theory, 2026
  Christian Dahlhausen, Can Yaylali and Yicheng Zhou
• 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(Z_p,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

Dev

• 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
• Examples of disk algebras, 2023
  Sanath Devalapurkar, Jeremy Hahn, Tyler Lawson, Andrew Senger and Dylan Wilson
• 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

Du

• 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

Dun

• 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 π_i,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

E

• 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
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• A study in derived algebraic geometry
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  Dennis Gaitsgory and N. Rozenblyum
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• Hopf algebras, Witt vectors, and Brown-Gitler spectra, 1993
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• Hopf rings, Dieudonné Modules, and E_*Ω²S³, 1999
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• TOPOLOGICAL MODULAR FORMS [after Hopkins, Miller, and Lurie], 2009
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• The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres, Strasbourg lectures of 2007
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• Quasi-coherent sheaves on the Moduli Stack of Formal Groups, 2008
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• Moduli Problems for Structured Ring Spectra, ≥2004
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• Moduli Spaces of Commutative Ring Spectra, 2004
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• Simplicial Homotopy Theory, 1999
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• Model Categories and Simplicial Methods, 2006
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• 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
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• Letter to Waldhausen of August 10, 1987
  AI typeset version of June, 2025. Latex source code.
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• Calculus. I. The first derivative of pseudoisotopy theory, 1991/92
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  Thomas G. Goodwillie
• Formal completion of the Jacobian of plane curves and higher real K-theories
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• Arithmetic properties of binomial coefficients. I. Binomial coefficients modulo prime powers, 1997
  Andrew Granville
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  Brayton Gray
• The periodic Lambda algebra, 1998
  See also Periodicity in the periodic Lambda algebra, 2012 by Jessie Zhang
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• Representing Tate cohomology of G-spaces, 1987
  John Greenlees
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• Some remarks on projective Mackey functors,1992
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• Equivariant stable homotopy theory, 1995
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  Thomas Gregersen and John Rognes
• The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory
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• Gauss sums and the p-adic Γ-function
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Groth

• 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.
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  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
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  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

H

• Mapping stacks and categorical notions of properness, 2023
  Daniel Halpern-Leistner and Anatoly Preygel
• 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,v₁^{pn-2) K}-theory of Z/pⁿ, 2024
  Jeremy Hahn, Ishan Levy and Andrew Senger
• Crystallinity for syntomic cohomology, �tale cohomology, and algebraic K-theory, 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
• Exotic Multiplications on Periodic Complex Bordism, 2019
  Jeremy Hahn and Allen Yuan
• Multiplicative Structure in the Stable Splitting of ΩSL_n(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

Harper

• 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
• The higher Morita category of E_n-algebras, 2017
  Rune Haugseng
• Some remarks on higher Morita categories, 2023
  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

Hesselholt

• 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 v_n-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
• 6-Functor Formalisms and Smooth Representations, 2024
  Claudius Heyer and Lucas Mann

Hi

• 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 C_n spectra with applications to norms of MU_R, 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
• E_k-pushouts and E_k+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
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• 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

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• A beginner´s guide to the Segal conjecture for finite groups , 2020
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  Kaif Hilman and Sil Linskens
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  Kaif Hilman
• Category Theory, Homology Theory and their Applications III, 1969
  Peter Hilton
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  P.J. Hilton and U. Stammbach
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• 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
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  F. Hirzebruch
• Manifolds and Modular Forms, 1994
  Friedrich Hirzebruch, Thomas Berger and Rainer Jung

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  Renee S. Hoekzema
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  Amalie Høgenhaven
• The freeness theorem for equivariant cohomology of Rep(C2)-complexes, 2020
  Eric Hogle and Clover May
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  John Holler and Igor Kriz
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  Jens Hornbostel and Doosung Park
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  Taira Honda
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  Aaron Mazel-Gee
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• 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 MacLane homology and topological Hochschild homology, 2021
  Geoffroy Horel, Maxime Ramzi
• Genuine equivariant factorization homology, 2019
  Asaf Horev
• On conjugates and adjoint descent, 2017
  Asaf Horev and Lior Yanovski
• 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
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  Mark Hovey

Hov

• 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
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  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

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• 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

Is

• 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

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• Handbook of Algebraic Topology, 1995
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• 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

Jon

• 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

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• 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
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  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

Kl

• 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.
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  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

L

• 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
• E_n 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

Lawv

• 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.
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  G. Lewis, J. P. May, and M. Steinberger

Li

• 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
• The inverse limit topology and profinite descent on Picard groups in K(n)-local homotopy theory, 2025
  Guchuan Li and Ningchuan Zhang
• A Thom Spectrum Model for C₂-Integral Brown--Gitler Spectra, 2023
  Guchuan Li, Sarah Petersen and Elizabeth Tatum
• A spectrum-level splitting of the ku_R-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
• Ext^4,*_A (Z/2, Z/2) and Ext^5,*_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
• One-Parameter Formal Lie Groups Over p-Adic Integer Rings, 1964
  Jonathan Lubin
• Formal Complex Multiplication in Local Fields, 1965
  Jonathan Lubin and John Tate
• Formal Moduli for One-Parameter Formal Lie Groups, 1966
  Jonathan Lubin and John Tate

Luck

• 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 XII: Proper Morphisms, Completions, and the Grothendieck Existence Theorem, 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

M

• Equivariant generating hypotheses for finite groups, 2026
  Sihao Ma, XiaoLin Danny Shi, Zhouli Xu and Shangjie Zhang
• Categories for the Working Mathematician
  
  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
• q-Hodge complexes and refined TC^-, 2024
  Samuel Meyer and Ferdinand Wagner
• The cohomology structure of certain flbre spaces I , 1965
  W.S. Massey and F.P. Peterson
• Home page of Akhil Mathew

Mat

• 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

Mazel-Gee

• 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

Mc

• 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 Real bordism, 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

Milnor

• 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
• Using the Borsuk-Ulam Theorem , 2006
  G Eric Moorhouse
• 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

N

• 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
• Separable commutative algebras and Galois theory in stable homotopy theories, 2024
  Niko Naumann and Luca Pol
• 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

Nee

• 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

O

• 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

Op

• Hopf algebras, Witt vectors, and Brown-Gitler spectra, 2019
  Morgan Opie
• Papers of Kyle Ormsby
• Motivic Invariants of p-adic fields, 2012
  Kyle Ormsby

P

• 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 EC^hG₂₄∧ A₁, 2023
  Vietcuong Pham
• Homotopy theory of diagrams and CW-complexes over a category, 1991
  Robert Piacenza

Pit

• 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

Q

• 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

Qu

• 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

R

• The ∞-Categorical Reflection Theorem and Applications, 2022
  Shaul Ragimov and Tomer M. Schlank

Ram

• Topological Hochschild homology and MacLane 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