Graduate Program

Fall Term Schedule

Fall 2024

Number	Title	Instructor	Time
MATH 430-1 Algebraic Number Theory Thomas Tucker MW 10:25AM - 11:40AM
Prerequisites: MATH 436 and 437. Undergrads must have permission of the Instructor. Description: Number fields, rings of integers, factorization, class numbers. Frobenius and Dirichlet density theorems. Location Hylan Building Room 1106B (MW 10:25AM - 11:40AM)
MATH 436-1 Algebra I Naomi Jochnowitz MW 4:50PM - 6:05PM
Prerequisites: MATH 237 or equivalent. Undergrads must have permission of the Instructor. Description: Rings and modules, group theory, fields and Galois theory. Location Lattimore Room 210 (MW 4:50PM - 6:05PM)
MATH 440-1 General Topology Jonathan Pakianathan TR 12:30PM - 1:45PM
Prerequisites: MATH 265 or equivalent. Undergrads must have permission of the Instructor. 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 203 (TR 12:30PM - 1:45PM)
MATH 443-1 Algebraic Topology Douglas Ravenel MW 12:30PM - 1:45PM
Prerequisites: MATH 436 and MATH 440. Undergrads must have permission of the instructor. 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 203 (MW 12:30PM - 1:45PM)
MATH 471-1 Analysis I Arjun Krishnan TR 9:40AM - 10:55AM
Prerequisites: Math 265H or equivalent. Undergrads must have permission of the instructor. Description: measures, integration, differentiation, product measures, Banach spaces, L^p spaces. Location Morey Room 205 (TR 9:40AM - 10:55AM)
MATH 472-1 Analysis III Allan Greenleaf MW 2:00PM - 3:15PM
Prerequisites: Math 467 and 471. Undergrads must have permission of the instructor. 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 Meliora Room 209 (MW 2:00PM - 3:15PM)
MATH 492-1 Grad Professional Seminar – TR 2:00PM - 3:15PM
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. Location Hylan Building Room 307 (TR 2:00PM - 3:15PM)
MATH 504-1 Stochastic Processes Carl Mueller TR 9:40AM - 10:55AM
Prerequisites: Undergrads must have permission of the instructor. 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 (TR 9:40AM - 10:55AM)
MATH 537-1 Homology Saul Lubkin MW 11:50AM - 1:05PM
Prerequisites: MATH 436. Undergrads must have permission of the instructor. 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 1101 (MW 11:50AM - 1:05PM)
MATH 540-1 Topics in Combinatorics Jonathan Pakianathan TR 11:05AM - 12:20PM
Prerequisites: Undergrads must have permission of the instructor. Location Hylan Building Room 1106A (TR 11:05AM - 12:20PM)
MATH 591-01 PhD Readings in Math Stephen Kleene 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 591-02 PhD Readings in Math Allan Greenleaf 7:00PM - 7:00PM
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MATH 591-03 PhD Readings in Math Alex Iosevich 7:00PM - 7:00PM
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MATH 591-05 PhD Readings in Math Naomi Jochnowitz 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 591-06 PhD Readings in Math Sevak Mkrtchyan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 591-07 PhD Readings in Math Jonathan Pakianathan 7:00PM - 7:00PM
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MATH 591-08 PhD Readings in Math Juan Rivera Letelier 7:00PM - 7:00PM
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MATH 591-09 PhD Readings in Math Douglas Ravenel 7:00PM - 7:00PM
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MATH 591-10 PhD Readings in Math Sema Salur 7:00PM - 7:00PM
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MATH 591-11 PhD Readings in Math Thomas Tucker 7:00PM - 7:00PM
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MATH 591-12 PhD Readings in Math Arjun Krishnan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 591-13 PhD Readings in Math Xuwen Chen 7:00PM - 7:00PM
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MATH 591-14 PhD Readings in Math Carl Mueller 7:00PM - 7:00PM
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MATH 591-15 PhD Readings in Math Dan Geba 7:00PM - 7:00PM
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MATH 591-16 PhD Readings in Math Dinesh Thakur 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 591-18 PhD Readings in Math Saul Lubkin 7:00PM - 7:00PM
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MATH 591-19 PhD Readings in Math Steven Gonek 7:00PM - 7:00PM
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MATH 595-01 PhD Research in Math Arjun Krishnan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-02 PhD Research in Math Sevak Mkrtchyan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-03 PhD Research in Math Stephen Kleene 7:00PM - 7:00PM
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MATH 595-05 PhD Research in Math Naomi Jochnowitz 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-06 PhD Research in Math Xuwen Chen 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-07 PhD Research in Math Alex Iosevich 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-08 PhD Research in Math Allan Greenleaf 7:00PM - 7:00PM
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MATH 595-09 PhD Research in Math Carl Mueller 7:00PM - 7:00PM
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MATH 595-10 PhD Research in Math Dan Geba 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-11 PhD Research in Math Dinesh Thakur 7:00PM - 7:00PM
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MATH 595-12 PhD Research in Math Douglas Ravenel 7:00PM - 7:00PM
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MATH 595-14 PhD Research in Math Jonathan Pakianathan 7:00PM - 7:00PM
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MATH 595-15 PhD Research in Math Juan Rivera Letelier 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-17 PhD Research in Math Saul Lubkin 7:00PM - 7:00PM
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MATH 595-18 PhD Research in Math Sema Salur 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-19 PhD Research in Math Steven Gonek 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 595-20 PhD Research in Math Thomas Tucker 7:00PM - 7:00PM
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MATH 895-1 Cont of Master's Enrollment – 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 897-1 Master's Dissertation Naomi Jochnowitz 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 899-1 Master's Dissertation Naomi Jochnowitz 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 986V-1 Full Time Visiting Student – 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 995-1 Cont of Doctoral Enrollment Sevak Mkrtchyan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 997-01 Doctoral Dissertation Sevak Mkrtchyan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)
MATH 999-01 Doctoral Dissertation Sevak Mkrtchyan 7:00PM - 7:00PM
Blank Description Location ( 7:00PM - 7:00PM)

Number	Title	Instructor	Time
Monday
Monday and Wednesday
MATH 430-1 Algebraic Number Theory Thomas Tucker
Prerequisites: MATH 436 and 437. Undergrads must have permission of the Instructor. Description: Number fields, rings of integers, factorization, class numbers. Frobenius and Dirichlet density theorems.
MATH 537-1 Homology Saul Lubkin
Prerequisites: MATH 436. Undergrads must have permission of the instructor. 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.
MATH 443-1 Algebraic Topology Douglas Ravenel
Prerequisites: MATH 436 and MATH 440. Undergrads must have permission of the instructor. 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 472-1 Analysis III Allan Greenleaf
Prerequisites: Math 467 and 471. Undergrads must have permission of the instructor. 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 436-1 Algebra I Naomi Jochnowitz
Prerequisites: MATH 237 or equivalent. Undergrads must have permission of the Instructor. Description: Rings and modules, group theory, fields and Galois theory.
Monday, Wednesday, and Friday
Tuesday
Tuesday and Thursday
MATH 471-1 Analysis I Arjun Krishnan
Prerequisites: Math 265H or equivalent. Undergrads must have permission of the instructor. Description: measures, integration, differentiation, product measures, Banach spaces, L^p spaces.
MATH 504-1 Stochastic Processes Carl Mueller
Prerequisites: Undergrads must have permission of the instructor. Probability spaces, conditional expectation. Stochastic processes, separability, limit theorems Random walk. Markov processes, invariant measures, semigroups. Probabilistic treatment of potential theory, compactifications.
MATH 540-1 Topics in Combinatorics Jonathan Pakianathan
Prerequisites: Undergrads must have permission of the instructor.
MATH 440-1 General Topology Jonathan Pakianathan
Prerequisites: MATH 265 or equivalent. Undergrads must have permission of the Instructor. 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 492-1 Grad Professional Seminar –
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.
Wednesday
Thursday
Friday