MATH 4301
Naomi Jochnowitz
MW 4:50PM  6:05PM

Prerequisites: 436, 437 Description: Number fields, rings of integers, factorization, class numbers. Frobenius and Dirichlet density theorems.
 Location
 Hylan Building Room 1101 (MW 4:50PM  6:05PM)

MATH 4361
Naomi Jochnowitz
MW 2:00PM  3:15PM

Prerequisites: MTH 237 or equivalent. Undergrads must have permission of Instructor. Description: Rings and modules, group theory, fields and Galois theory.
 Location
 Hylan Building Room 1101 (MW 2:00PM  3:15PM)

MATH 4401
Juan Rivera Letelier
MW 12:30PM  1:45PM

Prerequisites: MTH 265 or equivalent. Permission of instructor required for Undergraduates. Description: The first half of the course will study the general topological notions of topological space, metric spaces, quotient spaces, connectedness, compactness, manifolds and topological groups. The second half of the course will be an introduction to the differential topology of smooth manifolds. Topics include Sard’s theorem, transversality, intersection theory and applications such as the JordanBrouwer separation theorem, the BorsukUlam theorem and the PoincareHopf theorem. This course will not cover the theory of differential forms, distributions or integration on manifolds which is usually covered in our spring graduate differentiable manifolds course instead.
 Location
 Hylan Building Room 1106A (MW 12:30PM  1:45PM)

MATH 4431
Douglas Ravenel
MW 2:00PM  3:15PM

Prerequisites: MTH 436 and MTH 440. Permission of instructor required for Undergraduates. Description: The combinatorial structure of complexes and the homology of polyhedra; applications of algebraic techniques in topology to classification of surfaces, fixed point theory, and analysis.
 Location
 Hylan Building Room 1104 (MW 2:00PM  3:15PM)

MATH 4711
Allan Greenleaf
MW 10:25AM  11:40AM

Prerequisites: Math 265H or equivalent. Description: measures, integration, differentiation, product measures, Banach spaces, L^p spaces.
 Location
 Hylan Building Room 1106A (MW 10:25AM  11:40AM)

MATH 4721
Dan Geba
TR 9:40AM  10:55AM

Prerequisites: Math 467 and 471. Description: firstorder partial differential equations, principles for higherorder equations, the wave equation, the Laplace equation, the heat equation, complex interpolation, Marcinkiewicz interpolation, LittlewoodPaley theory.
 Location
 Hylan Building Room 1101 (TR 9:40AM  10:55AM)

MATH 4831
Alex Iosevich
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MATH 4881
Kaave Hosseini
MW 3:25PM  4:40PM

CoLocated: CSC 2881 (P), CSC 4881, MATH 2881, MATH 4881 PLEASE NOTE: The meeting times for Fall 2022  is MW 1525  1640 in Lechase Room 181 , (same as Math 288, CSC 288, CSC 488) Description: The purpose of this course is twofold. First is to give a brief introduction to a number of areas in theoretical computer science such as coding theory, PAC learning, clustering, approximation algorithms, randomized algorithms, Ramsey theory, program/property checking, social choice theory, probabilistically checkable proofs, derandomization. Second is to look at each mentioned area through an analytic lens; That is, we introduce tools in spectral graph theory and Fourier analysis of boolean functions and use them to resolve major problems in each of those areas. Students are expected to have familiarity with undergraduate level discrete mathematics, graph theory, linear algebra, and probability.
 Location
 (MW 3:25PM  4:40PM)

MATH 4921
Allan Greenleaf
–

Prerequisites: Open to firstyear graduate students only. Description: This course is a requirement for math Ph.D. students during their first fall in the Ph.D. program. The course will advise them on various aspects of their professional development. It will address:a) Research practices and development: Creating a CV, creating a professional webpage, milestones for grad school, grants and funding, conferences.b) Teaching: Responsibilities, techniques, etc.c) Community: Attendance of colloquia, seminars, meeting with faculty, etc.d) Other: Discussion of arXiv, mathsci net, latex, peer support network, etc.

MATH 5311
Dinesh Thakur
MW 12:30PM  1:45PM

Valuations, ideal theory, divisors. Class number, unit theorem. Geometric applications.
 Location
 Hylan Building Room 1101 (MW 12:30PM  1:45PM)

MATH 5371
Saul Lubkin
MW 2:00PM  3:15PM

Projective and injective modules, complexes and resolutions, derived functors, including Ext and Tor, the homology and cohomology theory of groups and algebras, applications to the extension problem, etc.
 Location
 Hylan Building Room 1106A (MW 2:00PM  3:15PM)

MATH 59101
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MATH 59102
Allan Greenleaf
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MATH 59103
Alex Iosevich
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MATH 59104
Stephen Kleene
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MATH 59105
Naomi Jochnowitz
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MATH 59106
Sevak Mkrtchyan
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MATH 59107
Jonathan Pakianathan
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MATH 59108
Juan Rivera Letelier
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MATH 59109
Douglas Ravenel
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MATH 59110
Sema Salur
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MATH 59111
Thomas Tucker
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MATH 59112
Arjun Krishnan
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MATH 59113
Xuwen Chen
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MATH 59114
Carl Mueller
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MATH 59115
Dan Geba
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MATH 59116
Dinesh Thakur
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MATH 59117
Sarada Rajeev
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MATH 59118
Saul Lubkin
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MATH 59119
Steven Gonek
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MATH 5941
Alex Iosevich
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MATH 59501
Arjun Krishnan
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MATH 59502
Sevak Mkrtchyan
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MATH 59503
Stephen Kleene
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MATH 59504
Ivan Chio
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MATH 59505
Naomi Jochnowitz
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MATH 59506
Xuwen Chen
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MATH 59507
Alex Iosevich
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MATH 59508
Allan Greenleaf
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MATH 59509
Carl Mueller
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MATH 59510
Dan Geba
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MATH 59511
Dinesh Thakur
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MATH 59512
Douglas Ravenel
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MATH 59513
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MATH 59514
Jonathan Pakianathan
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MATH 59515
Juan Rivera Letelier
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MATH 59516
Michael Gage
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MATH 59517
Saul Lubkin
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MATH 59518
Sema Salur
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MATH 59519
Steven Gonek
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MATH 59520
Thomas Tucker
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MATH 8951
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MATH 8971
Naomi Jochnowitz
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MATH 8991
Naomi Jochnowitz
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MATH 9951
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MATH 99701
Arjun Krishnan
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MATH 99702
Sevak Mkrtchyan
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MATH 99703
Stephen Kleene
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MATH 99704
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MATH 99705
Naomi Jochnowitz
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MATH 99706
Xuwen Chen
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MATH 99707
Alex Iosevich
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MATH 99708
Allan Greenleaf
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MATH 99709
Carl Mueller
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MATH 99710
Dan Geba
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MATH 99711
Dinesh Thakur
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MATH 99712
Douglas Ravenel
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MATH 99713
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MATH 99714
Jonathan Pakianathan
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MATH 99715
Juan Rivera Letelier
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MATH 99716
Michael Gage
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MATH 99717
Saul Lubkin
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MATH 99718
Sema Salur
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MATH 99719
Steven Gonek
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MATH 99720
Thomas Tucker
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MATH 99901
Stephen Kleene
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MATH 99902
Arjun Krishnan
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MATH 99903
Sevak Mkrtchyan
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MATH 99904
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MATH 99905
Naomi Jochnowitz
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MATH 99906
Xuwen Chen
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MATH 99907
Alex Iosevich
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MATH 99908
Allan Greenleaf
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MATH 99909
Carl Mueller
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MATH 99910
Dan Geba
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MATH 99911
Dinesh Thakur
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MATH 99912
Douglas Ravenel
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MATH 99913
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MATH 99914
Jonathan Pakianathan
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MATH 99915
Juan Rivera Letelier
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MATH 99916
Michael Gage
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MATH 99917
Saul Lubkin
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MATH 99918
Sema Salur
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MATH 99919
Steven Gonek
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MATH 99920
Thomas Tucker
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