Graduate Program

Term Schedule

Spring 2021

Number	Title	Instructor	Time
MATH 403-1 Theory of Probability Sevak Mkrtchyan TR 11:05AM - 12:20PM
Prerequisites: MTH 471 Description: Characteristic functions; the central limit theorem; infinitely divisible laws; random walk on groups. Location Online Room 30 (ASE) (TR 11:05AM - 12:20PM)
MATH 437-1 Algebra II Naomi Jochnowitz TR 4:50PM - 6:05PM
Prerequisites: MTH 436. Permission of instructor required for undergraduates. Description:Multilinear algebra, quadratic forms, simple and semi-simple rings and modules. Location Online Room 30 (ASE) (TR 4:50PM - 6:05PM)
MATH 453-1 Differentiable Manifolds Stephen Kleene TR 2:00PM - 3:15PM
Prerequisites: MTH 265 or equivalent. Permission of instructor required for undergraduates. Description: Differentiable manifolds, mappings and embeddings, exterior differential forms, affine connections, curvature and torsion. Riemannian geometry, introduction to Lie groups and Lie algebras. Location Hylan Building Room 202 (TR 2:00PM - 3:15PM)
MATH 463-1 Differential Equations Xuwen Chen MW 10:25AM - 11:40AM
Prerequisites: MTH 263 or equivalent. Description: Classical PDE's, including the heat and wave equations, with both quantitative and qualitative analysis. Location Online Room 3 (ASE) (MW 10:25AM - 11:40AM)
MATH 467-1 Theory Analytic Functions Dinesh Thakur MW 2:00PM - 3:15PM
Prerequisites: MTH 265 or equivalent Description: Cauchy theorems, Taylor and Laurent series, residues, conformal mapping, analytic continuation, product theorems. Location Online Room 4 (ASE) (MW 2:00PM - 3:15PM)
MATH 486-1 Guided Independent Study Doug Haessig –
The student will select 2 or more short independent study projects with different mathematics faculty in order to learn more about their research areas. This process will occur under the guidance of the professor of this guided independent study who will ultimately record the grade for this course. The student can select to earn independent credit through 491 courses for each independent study project from each different professor in addition to the 1 credit they earn from the overseeing professor of this course
MATH 549-1 Topics in Algebraic Topology Douglas Ravenel MW 2:00PM - 3:15PM
Prerequisites: Prior intro course in algebraic topology and at least simultaneously taking a manifolds course. Description: The course will cover the classical theory of fiber/fibre bundles and their associated principal G-bundles with a focus on vector bundles and characteristic classes. If time permits some discussion and applications of K-theory will also be covered. These topics are relatively classical (1950s and 60s) but fundamental to much current work in topology, geometry and modern physics. Tentative syllabus below: Location (MW 2:00PM - 3:15PM)
MATH 568-1 Topics in Number Theory Doug Haessig MW 12:30PM - 1:45PM
This course starts with the definitions and introductory theory of modular forms, presents an overview of some of the classic papers on the subject, and focuses in on some of the recent advances. Particular topics chosen each year are left up to the individual instructor. Location Online Room 8 (ASE) (MW 12:30PM - 1:45PM)
MATH 578-1 Topics in Harmonic Analysis Alex Iosevich M 6:30PM - 9:00PM
The central theme of the course is decoupling. This technique has been used extensively in recent years in harmonic analysis and number theory. The proof of the celebrated Vingoradov conjecture by Bourgain and Demeter, significantly improved exponents for the Falconer distance problems by Guth, Iosevich, Ou, and Wang in , and tremendous progress in the study of the moments of the Riemann zeta function by Bourgain and Watt, among many other results, has been accomplished using decoupling. We will also go over the background materials in harmonic analysis, including restriction theory and related topics. Location (M 6:30PM - 9:00PM)
MATH 591-01 PhD Readings in Math Frederick Cohen –
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MATH 591-02 PhD Readings in Math Allan Greenleaf –
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MATH 591-03 PhD Readings in Math Alex Iosevich –
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MATH 591-04 PhD Readings in Math Stephen Kleene –
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MATH 591-05 PhD Readings in Math Naomi Jochnowitz –
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MATH 591-06 PhD Readings in Math Sevak Mkrtchyan –
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MATH 591-07 PhD Readings in Math Jonathan Pakianathan –
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MATH 591-08 PhD Readings in Math Juan Rivera Letelier –
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MATH 591-09 PhD Readings in Math Douglas Ravenel –
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MATH 591-10 PhD Readings in Math Sema Salur –
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MATH 591-11 PhD Readings in Math Thomas Tucker –
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MATH 591-12 PhD Readings in Math Arjun Krishnan –
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MATH 591-13 PhD Readings in Math Xuwen Chen –
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MATH 591-14 PhD Readings in Math Carl Mueller –
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MATH 591-15 PhD Readings in Math Dan Geba –
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MATH 591-16 PhD Readings in Math Dinesh Thakur –
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MATH 591-17 PhD Readings in Math Michael Gage –
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MATH 591-18 PhD Readings in Math Saul Lubkin –
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MATH 591-19 PhD Readings in Math Steven Gonek –
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MATH 591-20 PhD Readings in Math Doug Haessig –
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MATH 595-01 PhD Research in Math Arjun Krishnan –
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MATH 595-02 PhD Research in Math Sevak Mkrtchyan –
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MATH 595-03 PhD Research in Math Stephen Kleene –
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MATH 595-04 PhD Research in Math Doug Haessig –
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MATH 595-05 PhD Research in Math Naomi Jochnowitz –
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MATH 595-06 PhD Research in Math Xuwen Chen –
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MATH 595-07 PhD Research in Math Alex Iosevich –
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MATH 595-08 PhD Research in Math Allan Greenleaf –
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MATH 595-09 PhD Research in Math Carl Mueller –
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MATH 595-10 PhD Research in Math Dan Geba –
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MATH 595-11 PhD Research in Math Dinesh Thakur –
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MATH 595-12 PhD Research in Math Douglas Ravenel –
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MATH 595-13 PhD Research in Math Frederick Cohen –
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MATH 595-14 PhD Research in Math Jonathan Pakianathan –
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MATH 595-15 PhD Research in Math Juan Rivera Letelier –
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MATH 595-16 PhD Research in Math Michael Gage –
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MATH 595-17 PhD Research in Math Saul Lubkin –
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MATH 595-18 PhD Research in Math Sema Salur –
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MATH 595-19 PhD Research in Math Steven Gonek –
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MATH 595-20 PhD Research in Math Thomas Tucker –
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MATH 895-1 Cont of Master's Enrollment – –
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MATH 995-1 Cont of Doctoral Enrollment – –
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MATH 997-01 Doctoral Dissertation Arjun Krishnan –
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MATH 997-02 Doctoral Dissertation Sevak Mkrtchyan –
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MATH 997-03 Doctoral Dissertation Stephen Kleene –
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MATH 997-04 Doctoral Dissertation Doug Haessig –
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MATH 997-05 Doctoral Dissertation Naomi Jochnowitz –
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MATH 997-06 Doctoral Dissertation Xuwen Chen –
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MATH 997-07 Doctoral Dissertation Alex Iosevich –
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MATH 997-08 Doctoral Dissertation Allan Greenleaf –
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MATH 997-09 Doctoral Dissertation Carl Mueller –
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MATH 997-10 Doctoral Dissertation Dan Geba –
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MATH 997-11 Doctoral Dissertation Dinesh Thakur –
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MATH 997-12 Doctoral Dissertation Douglas Ravenel –
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MATH 997-13 Doctoral Dissertation Frederick Cohen –
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MATH 997-14 Doctoral Dissertation Jonathan Pakianathan –
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MATH 997-15 Doctoral Dissertation Juan Rivera Letelier –
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MATH 997-16 Doctoral Dissertation Michael Gage –
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MATH 997-17 Doctoral Dissertation Saul Lubkin –
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MATH 997-18 Doctoral Dissertation Sema Salur –
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MATH 997-19 Doctoral Dissertation Steven Gonek –
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MATH 997-20 Doctoral Dissertation Thomas Tucker –
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MATH 999-01 Doctoral Dissertation Stephen Kleene –
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MATH 999-02 Doctoral Dissertation Arjun Krishnan –
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MATH 999-03 Doctoral Dissertation Sevak Mkrtchyan –
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MATH 999-04 Doctoral Dissertation Doug Haessig –
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MATH 999-05 Doctoral Dissertation Naomi Jochnowitz –
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MATH 999-06 Doctoral Dissertation Xuwen Chen –
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MATH 999-07 Doctoral Dissertation Alex Iosevich –
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MATH 999-08 Doctoral Dissertation Allan Greenleaf –
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MATH 999-09 Doctoral Dissertation Carl Mueller –
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MATH 999-10 Doctoral Dissertation Dan Geba –
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MATH 999-11 Doctoral Dissertation Dinesh Thakur –
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MATH 999-12 Doctoral Dissertation Douglas Ravenel –
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MATH 999-13 Doctoral Dissertation Frederick Cohen –
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MATH 999-14 Doctoral Dissertation Jonathan Pakianathan –
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MATH 999-15 Doctoral Dissertation Juan Rivera Letelier –
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MATH 999-16 Doctoral Dissertation Michael Gage –
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MATH 999-17 Doctoral Dissertation Saul Lubkin –
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MATH 999-18 Doctoral Dissertation Sema Salur –
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MATH 999-19 Doctoral Dissertation Steven Gonek –
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MATH 999-20 Doctoral Dissertation Thomas Tucker –
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Number	Title	Instructor	Time
Monday
MATH 578-1 Topics in Harmonic Analysis Alex Iosevich
The central theme of the course is decoupling. This technique has been used extensively in recent years in harmonic analysis and number theory. The proof of the celebrated Vingoradov conjecture by Bourgain and Demeter, significantly improved exponents for the Falconer distance problems by Guth, Iosevich, Ou, and Wang in , and tremendous progress in the study of the moments of the Riemann zeta function by Bourgain and Watt, among many other results, has been accomplished using decoupling. We will also go over the background materials in harmonic analysis, including restriction theory and related topics.
Monday, Tuesday, Wednesday, and Thursday
Monday and Wednesday
MATH 463-1 Differential Equations Xuwen Chen
Prerequisites: MTH 263 or equivalent. Description: Classical PDE's, including the heat and wave equations, with both quantitative and qualitative analysis.
MATH 568-1 Topics in Number Theory Doug Haessig
This course starts with the definitions and introductory theory of modular forms, presents an overview of some of the classic papers on the subject, and focuses in on some of the recent advances. Particular topics chosen each year are left up to the individual instructor.
MATH 549-1 Topics in Algebraic Topology Douglas Ravenel
Prerequisites: Prior intro course in algebraic topology and at least simultaneously taking a manifolds course. Description: The course will cover the classical theory of fiber/fibre bundles and their associated principal G-bundles with a focus on vector bundles and characteristic classes. If time permits some discussion and applications of K-theory will also be covered. These topics are relatively classical (1950s and 60s) but fundamental to much current work in topology, geometry and modern physics. Tentative syllabus below:
MATH 467-1 Theory Analytic Functions Dinesh Thakur
Prerequisites: MTH 265 or equivalent Description: Cauchy theorems, Taylor and Laurent series, residues, conformal mapping, analytic continuation, product theorems.
Monday, Wednesday, and Friday
Tuesday and Thursday
MATH 403-1 Theory of Probability Sevak Mkrtchyan
Prerequisites: MTH 471 Description: Characteristic functions; the central limit theorem; infinitely divisible laws; random walk on groups.
MATH 453-1 Differentiable Manifolds Stephen Kleene
Prerequisites: MTH 265 or equivalent. Permission of instructor required for undergraduates. Description: Differentiable manifolds, mappings and embeddings, exterior differential forms, affine connections, curvature and torsion. Riemannian geometry, introduction to Lie groups and Lie algebras.
MATH 437-1 Algebra II Naomi Jochnowitz
Prerequisites: MTH 436. Permission of instructor required for undergraduates. Description:Multilinear algebra, quadratic forms, simple and semi-simple rings and modules.
Friday