Graduate Program

Spring Term Schedule

Spring 2027

Number	Title	Instructor	Time
MATH 403-01 Theory of Probability Arjun Krishnan TR 12:30PM - 1:45PM
Measure-theoretic foundations of probability. The Radon-Nikodym theorem and conditional expectation. Infinite products and Kolmogorov's extension theorem. Random variables, modes of convergence, independence, and the monotone class theorem. Laws of large numbers. Characteristic functions and the central limit theorem. Martingales, Doob's and Kolmogorov's inequalities, the optional sampling theorem. Introduction to stochastic processes. Prerequisites: MATH 471 Location (TR 12:30PM - 1:45PM)
MATH 437-01 Algebra II Naomi Jochnowitz MW 4:50PM - 6:05PM
Multilinear algebra, quadratic forms, simple and semi-simple rings and modules. Prerequisites: MATH 436. Permission of instructor required for undergraduates Location (MW 4:50PM - 6:05PM)
MATH 453-01 Differentiable Manifolds Sema Salur MW 12:30PM - 1:45PM
Differentiable manifolds, mappings and embeddings, exterior differential forms, affine connections, curvature and torsion. Riemannian geometry, introduction to Lie groups and Lie algebras.. Prerequisites: MATH 255 and 265. Permission of instructor required for undergraduates Location (MW 12:30PM - 1:45PM)
MATH 467-01 Analysis II Dan Geba TR 9:40AM - 10:55AM
Analytic functions as mappings, complex integration, series and product developments, conformal mapping and Dirichlet’s problem, Hilbert spaces, Fourier transform and Sobolev spaces. Prerequisites: Math 471 Location (TR 9:40AM - 10:55AM)
MATH 475-01 Additive Combinatorics Kaave Hosseini MW 4:50PM - 6:05PM
This course introduces additive combinatorics, a field at the intersection of combinatorics, number theory, and theoretical computer science. We will study the structure of sets under addition, with emphasis on tools and results that have found striking applications in computer science and mathematics. Topics include sumset estimates and the Plünnecke-Ruzsa inequalities, the necessary Fourier analytic tools, Freiman's theorem on sets with small doubling, the Balog-Szemerédi-Gowers theorem, arithmetic progressions and Roth's theorem, the sum-product phenomenon, and Gowers uniformity norms. Applications in algorithms, complexity, and number theory will be discussed. Prerequisites: Solid familiarity with discrete mathematics, probability, and linear algebra. Overall, upper-level mathematical maturity is expected. Location (MW 4:50PM - 6:05PM)
MATH 535-01 Commutative Algebra Naomi Jochnowitz MW 2:00PM - 3:15PM
Field theory, valuations, local rings, affine schemes. Applications to number theory and geometry. Location (MW 2:00PM - 3:15PM)
MATH 565-01 Topics in PDE (Fluid dynamics and applications) Jeffrey Kuan TR 3:25PM - 4:40PM
This course covers various aspects of deterministic and stochastic Partial Differential Equations. Specific topics will very by semester. Prerequisites: Background in real analysis and/or partial differential equations from a graduate-level math or engineering class is recommended. From currents of water to the flow of air around airplane wings, fluids are everywhere in the real world, with important applications in biomedical, civil, and mechanical engineering. In this class, we will study the mathematical equations that describe fluid flows and we will explore how these equations arise in real-life applications. We will use mathematical analysis and methods from partial differential equations to understand the equations for both incompressible and compressible fluid flows, with an emphasis on developing physical intuition. Location (TR 3:25PM - 4:40PM)
MATH 591-01 PhD Readings Alex Iosevich 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-02 PhD Readings Sevak Mkrtchyan 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-03 PhD Readings Naomi Jochnowitz 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-04 PhD Readings Thomas Tucker 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-05 PhD Readings Stephen Kleene 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-06 PhD Readings Jonathan Pakianathan 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-07 PhD Readings Dinesh Thakur 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-08 PhD Readings Douglas Ravenel 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-09 PhD Readings Steven Gonek 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-10 PhD Readings Xuwen Chen 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-11 PhD Readings Sema Salur 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-12 PhD Readings Dan Geba 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-13 PhD Readings Juan Rivera Letelier 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-14 PhD Readings Arjun Krishnan 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-15 PhD Readings Carl Mueller 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 591-22 PhD Readings Allan Greenleaf 7:00PM - 7:00PM
This course is for PhD students that have made arrangements with a faculty member to complete readings and discussion in a particular subject in their field of study. Location ( 7:00PM - 7:00PM)
MATH 594-01 PhD Research Internship Alex Iosevich 7:00PM - 7:00PM
This course provides PhD students with the opportunity to gain practical experience in a professional setting related to their field of study. Students must register for one credit of internship during the semester in which they participate. Must have approval of the Graduate Education and Postdoctoral Affairs Office for SAS and Hajim. Location ( 7:00PM - 7:00PM)
MATH 595-01 PhD Research Juan Rivera Letelier 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-02 PhD Research Jonathan Pakianathan 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-03 PhD Research Douglas Ravenel 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-04 PhD Research Alex Iosevich 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-05 PhD Research Carl Mueller 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-06 PhD Research Thomas Tucker 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-07 PhD Research Allan Greenleaf 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-08 PhD Research Dinesh Thakur 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-09 PhD Research Stephen Kleene 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-10 PhD Research Steven Gonek 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-11 PhD Research Xuwen Chen 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-12 PhD Research Dan Geba 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-13 PhD Research Sema Salur 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-14 PhD Research Naomi Jochnowitz 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-15 PhD Research Arjun Krishnan 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 595-16 PhD Research Sevak Mkrtchyan 7:00PM - 7:00PM
This course provides PhD students with fewer than 90 credits the opportunity to conduct, develop, and refine their doctoral research projects. Students will engage in research relevant to their field of study and make progress toward completing their dissertations. Location ( 7:00PM - 7:00PM)
MATH 895-01 Master's Thesis/Dissertation (P) – 7:00PM - 7:00PM
This course provides masters students the opportunity to work on their dissertation. Students will make progress toward completing degree requirements. Location ( 7:00PM - 7:00PM)
MATH 897-01 Masters Dissertation Naomi Jochnowitz 7:00PM - 7:00PM
This course provides master's students who are currently completing their final required coursework, or with special circumstances like an approved reduced courseload, with the opportunity to work full-time on their degrees. Students will make significant progress toward completing their degrees. Location ( 7:00PM - 7:00PM)
MATH 899-01 Master's Thesis/Dissertation (F) Naomi Jochnowitz 7:00PM - 7:00PM
This course provides master's students the opportunity to work full-time on their thesis/dissertation. Students will make significant progress toward completing degree requirements. Location ( 7:00PM - 7:00PM)
MATH 986V-01 Full Time Visiting Student – 7:00PM - 7:00PM
A course specifically for full-time visiting students. It's a math course designed to accommodate students who are visiting the university from another institution. Location ( 7:00PM - 7:00PM)
MATH 999-01 Doctoral Dissertation (F) Sevak Mkrtchyan 7:00PM - 7:00PM
This course provides doctoral students the opportunity to work full-time on their dissertation. Students will make significant progress toward completing degree requirements. Location ( 7:00PM - 7:00PM)

Number	Title	Instructor	Time
Monday
Monday and Wednesday
MATH 453-01 Differentiable Manifolds Sema Salur
Differentiable manifolds, mappings and embeddings, exterior differential forms, affine connections, curvature and torsion. Riemannian geometry, introduction to Lie groups and Lie algebras..
MATH 535-01 Commutative Algebra Naomi Jochnowitz
Field theory, valuations, local rings, affine schemes. Applications to number theory and geometry.
MATH 437-01 Algebra II Naomi Jochnowitz
Multilinear algebra, quadratic forms, simple and semi-simple rings and modules.
MATH 475-01 Additive Combinatorics Kaave Hosseini
This course introduces additive combinatorics, a field at the intersection of combinatorics, number theory, and theoretical computer science. We will study the structure of sets under addition, with emphasis on tools and results that have found striking applications in computer science and mathematics. Topics include sumset estimates and the Plünnecke-Ruzsa inequalities, the necessary Fourier analytic tools, Freiman's theorem on sets with small doubling, the Balog-Szemerédi-Gowers theorem, arithmetic progressions and Roth's theorem, the sum-product phenomenon, and Gowers uniformity norms. Applications in algorithms, complexity, and number theory will be discussed.
Tuesday
Tuesday and Thursday
MATH 467-01 Analysis II Dan Geba
Analytic functions as mappings, complex integration, series and product developments, conformal mapping and Dirichlet’s problem, Hilbert spaces, Fourier transform and Sobolev spaces.
MATH 403-01 Theory of Probability Arjun Krishnan
Measure-theoretic foundations of probability. The Radon-Nikodym theorem and conditional expectation. Infinite products and Kolmogorov's extension theorem. Random variables, modes of convergence, independence, and the monotone class theorem. Laws of large numbers. Characteristic functions and the central limit theorem. Martingales, Doob's and Kolmogorov's inequalities, the optional sampling theorem. Introduction to stochastic processes.
MATH 565-01 Topics in PDE (Fluid dynamics and applications) Jeffrey Kuan
This course covers various aspects of deterministic and stochastic Partial Differential Equations. Specific topics will very by semester.
Wednesday
Thursday
Friday