MATH 430-1
Naomi Jochnowitz
MW 4:50PM - 6:05PM
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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)
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MATH 436-1
Naomi Jochnowitz
MW 2:00PM - 3:15PM
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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)
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MATH 440-1
Juan Rivera Letelier
MW 12:30PM - 1:45PM
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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 Jordan-Brouwer separation theorem, the Borsuk-Ulam theorem and the Poincare-Hopf 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)
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MATH 443-1
Douglas Ravenel
MW 2:00PM - 3:15PM
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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)
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MATH 471-1
Allan Greenleaf
MW 10:25AM - 11:40AM
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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)
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MATH 472-1
Dan Geba
TR 9:40AM - 10:55AM
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Prerequisites: Math 467 and 471. Description: first-order partial differential equations, principles for higher-order equations, the wave equation, the Laplace equation, the heat equation, complex interpolation, Marcinkiewicz interpolation, Littlewood-Paley theory.
- Location
- Hylan Building Room 1101 (TR 9:40AM - 10:55AM)
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MATH 483-1
Alex Iosevich
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Blank Description
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MATH 488-1
Kaave Hosseini
MW 3:25PM - 4:40PM
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Co-Located: CSC 288-1 (P), CSC 488-1, MATH 288-1, MATH 488-1 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 two-fold. 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)
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MATH 492-1
Allan Greenleaf
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Prerequisites: Open to first-year 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, math-sci net, latex, peer support network, etc.
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MATH 531-1
Dinesh Thakur
MW 12:30PM - 1:45PM
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Valuations, ideal theory, divisors. Class number, unit theorem. Geometric applications.
- Location
- Hylan Building Room 1101 (MW 12:30PM - 1:45PM)
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MATH 537-1
Saul Lubkin
MW 2:00PM - 3:15PM
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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)
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MATH 591-01
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MATH 591-02
Allan Greenleaf
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MATH 591-03
Alex Iosevich
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MATH 591-04
Stephen Kleene
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MATH 591-05
Naomi Jochnowitz
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MATH 591-06
Sevak Mkrtchyan
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MATH 591-07
Jonathan Pakianathan
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MATH 591-08
Juan Rivera Letelier
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MATH 591-09
Douglas Ravenel
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MATH 591-10
Sema Salur
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MATH 591-11
Thomas Tucker
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MATH 591-12
Arjun Krishnan
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MATH 591-13
Xuwen Chen
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MATH 591-14
Carl Mueller
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MATH 591-15
Dan Geba
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MATH 591-16
Dinesh Thakur
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MATH 591-17
Sarada Rajeev
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MATH 591-18
Saul Lubkin
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MATH 591-19
Steven Gonek
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MATH 594-1
Alex Iosevich
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No description
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MATH 595-01
Arjun Krishnan
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Blank Description
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MATH 595-02
Sevak Mkrtchyan
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MATH 595-03
Stephen Kleene
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MATH 595-04
Ivan Chio
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MATH 595-05
Naomi Jochnowitz
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MATH 595-06
Xuwen Chen
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MATH 595-07
Alex Iosevich
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MATH 595-08
Allan Greenleaf
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MATH 595-09
Carl Mueller
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MATH 595-10
Dan Geba
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MATH 595-11
Dinesh Thakur
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MATH 595-12
Douglas Ravenel
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MATH 595-13
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MATH 595-14
Jonathan Pakianathan
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MATH 595-15
Juan Rivera Letelier
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MATH 595-16
Michael Gage
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MATH 595-17
Saul Lubkin
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MATH 595-18
Sema Salur
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MATH 595-19
Steven Gonek
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MATH 595-20
Thomas Tucker
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MATH 895-1
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MATH 897-1
Naomi Jochnowitz
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MATH 899-1
Naomi Jochnowitz
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MATH 995-1
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MATH 997-01
Arjun Krishnan
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MATH 997-02
Sevak Mkrtchyan
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MATH 997-03
Stephen Kleene
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MATH 997-04
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MATH 997-05
Naomi Jochnowitz
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MATH 997-06
Xuwen Chen
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MATH 997-07
Alex Iosevich
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MATH 997-08
Allan Greenleaf
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MATH 997-09
Carl Mueller
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MATH 997-10
Dan Geba
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MATH 997-11
Dinesh Thakur
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MATH 997-12
Douglas Ravenel
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MATH 997-13
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MATH 997-14
Jonathan Pakianathan
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MATH 997-15
Juan Rivera Letelier
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MATH 997-16
Michael Gage
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MATH 997-17
Saul Lubkin
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MATH 997-18
Sema Salur
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MATH 997-19
Steven Gonek
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MATH 997-20
Thomas Tucker
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MATH 999-01
Stephen Kleene
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MATH 999-02
Arjun Krishnan
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MATH 999-03
Sevak Mkrtchyan
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MATH 999-04
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MATH 999-05
Naomi Jochnowitz
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MATH 999-06
Xuwen Chen
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MATH 999-07
Alex Iosevich
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MATH 999-08
Allan Greenleaf
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MATH 999-09
Carl Mueller
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MATH 999-10
Dan Geba
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MATH 999-11
Dinesh Thakur
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MATH 999-12
Douglas Ravenel
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MATH 999-13
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MATH 999-14
Jonathan Pakianathan
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MATH 999-15
Juan Rivera Letelier
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MATH 999-16
Michael Gage
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MATH 999-17
Saul Lubkin
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MATH 999-18
Sema Salur
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MATH 999-19
Steven Gonek
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MATH 999-20
Thomas Tucker
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Blank Description
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