Graduate Program

Fall Term Schedule

Fall 2023

Number	Title	Instructor	Time
MATH 430-1 Number Theory 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 436-1 Algebra I 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 440-1 General Topology Jonathan Pakianathan 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 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)
MATH 443-1 Algebraic Topology 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 463-1 Partial Differential Equations Xuwen Chen TR 12:30PM - 1:45PM
Classical PDE's, including the heat and wave equations, with both quantitative and qualitative analysis. Location Todd Union Room 202 (TR 12:30PM - 1:45PM)
MATH 471-1 Analysis I Carl Mueller 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 472-1 Analysis III Dan Geba TR 9:40AM - 10:55AM
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)
MATH 483-1 2nd Year Grad Orientation Alex Iosevich –
Blank Description
MATH 492-1 Grad Professional Seminar Allan Greenleaf –
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.
MATH 504-1 Stochastic Process Sevak Mkrtchyan MW 12:30PM - 1:45PM
Probability spaces, conditional expectation. Stochastic processes, separability, limit theorems Random walk. Markov processes, invariant measures, semigroups. Probabilistic treatment of potential theory, compactifications. Location Hylan Building Room 1101 (MW 12:30PM - 1:45PM)
MATH 530-1 Ellip Curves & Ellip L-Series Dinesh Thakur MW 9:00AM - 10:15AM
Blank Description Location Hylan Building Room 1106A (MW 9:00AM - 10:15AM)
MATH 557-1 Topics in Diff Geometry Stephen Kleene TR 2:00PM - 3:15PM
Subject matter to be selected from among advanced copies of current interest in differential geometry and geometric analysis. Location Hylan Building Room 1106 (TR 2:00PM - 3:15PM)
MATH 591-01 PhD Readings in Math – –
Blank Description
MATH 591-02 PhD Readings in Math Allan Greenleaf –
Blank Description
MATH 591-03 PhD Readings in Math Alex Iosevich –
Blank Description
MATH 591-04 PhD Readings in Math Stephen Kleene –
Blank Description
MATH 591-05 PhD Readings in Math Naomi Jochnowitz –
Blank Description
MATH 591-06 PhD Readings in Math Sevak Mkrtchyan –
Blank Description
MATH 591-07 PhD Readings in Math Jonathan Pakianathan –
Blank Description
MATH 591-08 PhD Readings in Math Juan Rivera Letelier –
Blank Description
MATH 591-09 PhD Readings in Math Douglas Ravenel –
Blank Description
MATH 591-10 PhD Readings in Math Sema Salur –
Blank Description
MATH 591-11 PhD Readings in Math Thomas Tucker –
Blank Description
MATH 591-12 PhD Readings in Math Arjun Krishnan –
Blank Description
MATH 591-13 PhD Readings in Math Xuwen Chen –
Blank Description
MATH 591-14 PhD Readings in Math Carl Mueller –
Blank Description
MATH 591-15 PhD Readings in Math Dan Geba –
Blank Description
MATH 591-16 PhD Readings in Math Dinesh Thakur –
Blank Description
MATH 591-17 PhD Readings in Math Sarada Rajeev –
Blank Description
MATH 591-18 PhD Readings in Math Saul Lubkin –
Blank Description
MATH 591-19 PhD Readings in Math Steven Gonek –
Blank Description
MATH 594-1 Internship Alex Iosevich –
No description
MATH 595-01 PhD Research in Math Arjun Krishnan –
Blank Description
MATH 595-02 PhD Research in Math Sevak Mkrtchyan –
Blank Description
MATH 595-03 PhD Research in Math Stephen Kleene –
Blank Description
MATH 595-04 PhD Research in Math Ivan Chio –
Blank Description
MATH 595-05 PhD Research in Math Naomi Jochnowitz –
Blank Description
MATH 595-06 PhD Research in Math Xuwen Chen –
Blank Description
MATH 595-07 PhD Research in Math Alex Iosevich –
Blank Description
MATH 595-08 PhD Research in Math Allan Greenleaf –
Blank Description
MATH 595-09 PhD Research in Math Carl Mueller –
Blank Description
MATH 595-10 PhD Research in Math Dan Geba –
Blank Description
MATH 595-11 PhD Research in Math Dinesh Thakur –
Blank Description
MATH 595-12 PhD Research in Math Douglas Ravenel –
Blank Description
MATH 595-13 PhD Research in Math – –
Blank Description
MATH 595-14 PhD Research in Math Jonathan Pakianathan –
Blank Description
MATH 595-15 PhD Research in Math Juan Rivera Letelier –
Blank Description
MATH 595-16 PhD Research in Math Michael Gage –
Blank Description
MATH 595-17 PhD Research in Math Saul Lubkin –
Blank Description
MATH 595-18 PhD Research in Math Sema Salur –
Blank Description
MATH 595-19 PhD Research in Math Steven Gonek –
Blank Description
MATH 595-20 PhD Research in Math Thomas Tucker –
Blank Description
MATH 895-1 Cont of Master's Enrollment – –
Blank Description
MATH 897-1 Master's Dissertation Naomi Jochnowitz –
Blank Description
MATH 899-1 Master's Dissertation Naomi Jochnowitz –
Blank Description
MATH 995-1 Cont of Doctoral Enrollment – –
Blank Description
MATH 997-01 Doctoral Dissertation Arjun Krishnan –
Blank Description
MATH 997-02 Doctoral Dissertation Sevak Mkrtchyan –
Blank Description
MATH 997-03 Doctoral Dissertation Stephen Kleene –
Blank Description
MATH 997-04 Doctoral Dissertation – –
Blank Description
MATH 997-05 Doctoral Dissertation Naomi Jochnowitz –
Blank Description
MATH 997-06 Doctoral Dissertation Xuwen Chen –
Blank Description
MATH 997-07 Doctoral Dissertation Alex Iosevich –
Blank Description
MATH 997-08 Doctoral Dissertation Allan Greenleaf –
Blank Description
MATH 997-09 Doctoral Dissertation Carl Mueller –
Blank Description
MATH 997-10 Doctoral Dissertation Dan Geba –
Blank Description
MATH 997-11 Doctoral Dissertation Dinesh Thakur –
Blank Description
MATH 997-12 Doctoral Dissertation Douglas Ravenel –
Blank Description
MATH 997-13 Doctoral Dissertation – –
Blank Description
MATH 997-14 Doctoral Dissertation Jonathan Pakianathan –
Blank Description
MATH 997-15 Doctoral Dissertation Juan Rivera Letelier –
Blank Description
MATH 997-16 Doctoral Dissertation Michael Gage –
Blank Description
MATH 997-17 Doctoral Dissertation Saul Lubkin –
Blank Description
MATH 997-18 Doctoral Dissertation Sema Salur –
Blank Description
MATH 997-19 Doctoral Dissertation Steven Gonek –
Blank Description
MATH 997-20 Doctoral Dissertation Thomas Tucker –
Blank Description
MATH 999-01 Doctoral Dissertation Stephen Kleene –
Blank Description
MATH 999-02 Doctoral Dissertation Arjun Krishnan –
Blank Description
MATH 999-03 Doctoral Dissertation Sevak Mkrtchyan –
Blank Description
MATH 999-04 Doctoral Dissertation – –
Blank Description
MATH 999-05 Doctoral Dissertation Naomi Jochnowitz –
Blank Description
MATH 999-06 Doctoral Dissertation Xuwen Chen –
Blank Description
MATH 999-07 Doctoral Dissertation Alex Iosevich –
Blank Description
MATH 999-08 Doctoral Dissertation Allan Greenleaf –
Blank Description
MATH 999-09 Doctoral Dissertation Carl Mueller –
Blank Description
MATH 999-10 Doctoral Dissertation Dan Geba –
Blank Description
MATH 999-11 Doctoral Dissertation Dinesh Thakur –
Blank Description
MATH 999-12 Doctoral Dissertation Douglas Ravenel –
Blank Description
MATH 999-13 Doctoral Dissertation – –
Blank Description
MATH 999-14 Doctoral Dissertation Jonathan Pakianathan –
Blank Description
MATH 999-15 Doctoral Dissertation Juan Rivera Letelier –
Blank Description
MATH 999-16 Doctoral Dissertation Michael Gage –
Blank Description
MATH 999-17 Doctoral Dissertation Saul Lubkin –
Blank Description
MATH 999-18 Doctoral Dissertation Sema Salur –
Blank Description
MATH 999-19 Doctoral Dissertation Steven Gonek –
Blank Description
MATH 999-20 Doctoral Dissertation Thomas Tucker –
Blank Description

Number	Title	Instructor	Time
Monday
Monday and Wednesday
MATH 530-1 Ellip Curves & Ellip L-Series Dinesh Thakur
Blank Description
MATH 471-1 Analysis I Carl Mueller
Prerequisites: Math 265H or equivalent. Description: measures, integration, differentiation, product measures, Banach spaces, L^p spaces.
MATH 440-1 General Topology Jonathan Pakianathan
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.
MATH 504-1 Stochastic Process Sevak Mkrtchyan
Probability spaces, conditional expectation. Stochastic processes, separability, limit theorems Random walk. Markov processes, invariant measures, semigroups. Probabilistic treatment of potential theory, compactifications.
MATH 436-1 Algebra I Naomi Jochnowitz
Prerequisites: MTH 237 or equivalent. Undergrads must have permission of Instructor. Description: Rings and modules, group theory, fields and Galois theory.
MATH 443-1 Algebraic Topology Douglas Ravenel
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.
MATH 430-1 Number Theory Naomi Jochnowitz
Prerequisites: 436, 437 Description: Number fields, rings of integers, factorization, class numbers. Frobenius and Dirichlet density theorems.
Monday, Wednesday, and Friday
Tuesday
Tuesday and Thursday
MATH 472-1 Analysis III Dan Geba
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.
MATH 463-1 Partial Differential Equations Xuwen Chen
Classical PDE's, including the heat and wave equations, with both quantitative and qualitative analysis.
MATH 557-1 Topics in Diff Geometry Stephen Kleene
Subject matter to be selected from among advanced copies of current interest in differential geometry and geometric analysis.
Wednesday
Thursday
Friday