Topics

Seminar and Special topics courses

For the Fall semester 2025, the following seminar and special topics courses will be offered:

• M662 (Sec. 600): Commutative Algebra, Dr. Patricia Klein.
• M663 (Sec. 600): Introduction to Semiclassical Analysis, Dr. Dean Baskin.
• M664 (Sec. 600): Multi-scale Analysis in Fluid Dynamics Equations, Dr. Xin Liu.
• M666 (Sec. 600): Positive Scalar Curvature, Dr. Simone Cecchini.
• M689 (Sec. 600): Arithmetic of Elliptic Curves, Dr. Matthew Papanikolas.
• M689 (Sec. 601): Compressed Sensing, Dr. Simon Foucart.

For the Spring semester 2025, the following seminar and special topics courses will be offered:

• M662 (Sec. 601): Homological Algebra, Dr. Sarah Witherspoon.
• M663 (Sec. 601): Copmplex Dynamics and the Mandelbrot Set, Dr. Nataliya Goncharuk.
• M663 (Sec. 602): Quantitative Index Theory, Scalar Curvature and Mathematical Physics, Dr. Guoliang Yu.
• M664 (Sec. 600): Dirac Equation and Stability of Solitary Waves, Dr. Andrew Comech.
• M664 (Sec. 601): Mathematical Theory of the Navier-Stokes Equations, Dr. Edriss Titi.
• M666 (Sec. 600): Real Algebraic Geometry for Applications, Dr. Frank Sottile.
• M666 (Sec. 601): Algebraic Geometry II, Dr. JM Landsberg.

For the Fall semester 2024, the following seminar and special topics courses will be offered:

• M663 (Sec. 600): Index Theory for Spaces with Signularities and its Applications, Dr. Zhizhang Xie.
• M663 (Sec. 601): Nonlinear Methods for Learning and Numerical Computation, Dr. Ronald DeVore.
• M666 (Sec. 600): Toric Varieties, Dr. Frank Sottile.
• M689 (Sec. 601): Topological Quantum Computation, Dr. Eric Rowell.

For the Spring semester 2024, the following seminar and special topics courses will be offered:

• M662 (Sec. 601): Quantitative Methods in Operator Algebras, Dr. Guoliang Yu.
• M662 (Sec. 602): Symmetric Function Theory, Dr. Patricia Klein.
• M663 (Sec. 601): Inverse Problems and Imaging, Dr. Peter Kuchment.
• M689 (Sec. 601): Tensors: Geometry and Applications, Dr. Joseph Landsberg.
• M689 (Sec. 602): Spectral Theory of Schrodinger Operators, Dr. Wencai Liu.
• M689 (Sec. 603): Advanced Graph Theory, Dr. Chun-Hung Liu.
• M689 (Sec. 604): Quantum Invariants and Geometric Structures, Dr. Tian Yang.

For the Fall semester 2023, the following seminar and special topics courses will be offered:

• M662 (Sec. 601): Quantum Computing and Quantum Information Theory, Dr. Joseph Landsberg.
• M662 (Sec. 602): Lie Algebras and Their Representations, Dr. Eric Rowell.
• M689 (Sec. 600): Special Topics in Stochastic Calculus, Dr. Jong Jun Lee.
• M689 (Sec. 601): Topics in Physics for Mathematicians, Dr. Igor Zelenko.
• M689 (Sec. 602): Introduction to Commutative and Homological Algebra, Dr. Laura Matusevich.
• M689 (Sec. 603): Automorphic Forms, Representations, and L-Functions, Dr. Matthew Young.

For the Spring semester 2023, the following seminar and special topics courses will be offered:

• M662 (Sec. 601): P-adic L-functions and Iwasawa Theory, Dr. Matthew Papanikolas.
• M662 (Sec. 602): Graph Algorithms, Dr. Chun-Hung Liu.
• M663 (Sec. 601): Dirichlet Forms, Markov Processes and Semigroups, Dr. Patricia Alonso-Ruiz.
• M663 (Sec. 602): Analysis and Geometry of Nilpotent Groups, Dr. Christopher Gartland.
• M666: Atiyah-Singer Index Theorem, Dr. Guangbo Xu.
• M689 (Sec. 601): Nonlinear Functional Analysis and Applications, Dr. Edriss Titi.
• M689 (Sec. 607): Algebraic Geometry II, Dr. Joseph Landsberg.
• M689 (Sec. 700): Mathematical Foundations for Data Science, Dr. Peter Kuchment.

For the Fall semester 2022, the following seminar and special topics courses will be offered:

• M662: Schubert Calculus and Flag Manifolds, Dr. Frank Sottile.
• M663: Topics in the Geometry of Banach Spaces, Dr. William B. Johnson.
• M664: Compressive Sensing, Dr. Simon Foucart.
• M689: Teaching Undergraduate Mathematics, Dr. Peter Kuchment.
• M689: Stochastic Calculus, Dr. Jong Jun Lee.
• M689: High Dimensional Probability and Applications, Dr. Grigoris Paouris.
• M689: Principles of Deep Learning, Dr. Stephan Wojtowytsch.

For the Spring semester 2022, the following seminar and special topics courses will be offered:

• M664 (soon to be M680): Topics in Mathematical Data Science, Dr. Simon Foucart.
• M669: Seminars in Math Biology, Dr. Anne Shiu.
• M689: Topological Insulators II, Drs. Eric Rowell and Guoliang Yu.
• M689: Spectral Theory of Nonselfadjoint operators, Dr. Andrew Comech.
• M689: Morse Theory, Dr. Guangbo Xu.
• M689: Dyadic Harmonic Analysis, Dr. Irina Holmes.
• M689: Graph Coloring, Dr. Chun-Hung Liu.

For the Fall semester 2021, the following seminar and special topics courses will be offered:

• M662:Introduction to Modular Forms, Dr. Matthew Young, MW 2:20-3:35.
• M666:Nonlinear Algebra, Dr. Frank Sottile, MWF 10:20-11:10.
• M689:Mathematical Tools of Finance, Dr. Gregory Berkolaiko, TR 11:10-12:25.
• M689:Topological Insulators I, Dr. Peter Kuchment, MW 5:35-6:50.
• M689:Representation Theory of Lie Groups and Lie Algebras, Dr. Joseph Landsberg, MWF 9:10-10:00.
• M689:Stochastic Calculus, Dr. JongJun Lee, MWF 11:30-12:20.
• M689:Mathematical Theory of the NS Equations, Dr. Edriss Titi, TR 11:10-12:25.

For the Spring semester 2021, the following seminar and special topics courses will be offered:

• M662:Combinatorics of Monomial Ideals, Dr. Laura Matusevich, Day/Time TBA.
• M666:Gromov's h-principle, Dr. Igor Zelenko, Day/Time TBA.
• M689:Tensor Categories, Dr. Eric Rowell, Day/Time TBA.
• M689:Nonlinear Waves and Dispersive Equations, Dr. Jonas Luhrmann, Day/Time TBA.

For Fall semester 2020, the following seminar and special topics courses will be offered:

• M662: Modern Topics of Geometric Group Theory, Dr. Rostislav Grigorchuk, Day/Time TBA.
• M662:Geometric Operator Algebras, their invariants & applications, Dr. Guoliang Yu, Day/Time TBA.
• M664:Topics in Mathematical Data Science, Dr. Simon Foucart, Day/Time TBA.
• M689:Metric Invariants: algorithmic and geometric applications, Dr. Florent Baudier, Day/Time TBA.
• M689:Mathematical Tools for Asset Pricing & Risk Analysis, Dr. Gregory Berkolaiko, Day/Time TBA.
• M689:Representation Theory & Integrable Probability, Dr. Jeffrey Kuan, Day/Time TBA.

For Spring semester 2020, the following seminar and special topics courses will be offered:

• M662: Commutative Algebra, Dr. Laura Matusevich, MW 12:45 - 2:00.
• M662: Algebraic geometry II, Dr. JM Landsberg, MWF 11:30 - 12:20.
• M664: Compressive Sensing, Dr. Simon Foucart, TR 12:45 - 2:00.
• M689: Professional Preparation, Dr. Peter Kuchment, MW 2:20 - 3:35.
• M689: Markov chains, stochastic processes, Dr. Eviatar Procaccia, TR 9:35 - 10:50.
• M689: Advanced graph theory, Dr. Chun-Hung Liu, TR 9:55 - 11:10.
• M689: Modular forms, Hecke eigenvalues, and their limiting behavior, Dr. Junehyuk Jung, WF 4:10 - 5:25.

For Fall semester 2019, the following seminar and special topics courses will be offered:

• M662: Homological algebra, Dr. Sarah Witherspoon, WF 8:45 - 10:00.
• M662: Real algebraic geometry, Dr. Frank Sottile, TR 2:20 - 3:35.
• M663: Representation theory and harmonic analysis on compact groups, Dr. Michael Brannan, TR 11:10 - 12:25.
• M663: Ergodic theory, Dr. David Kerr, TR 12:45 - 2:00.
• M664: Data science, Dr. Simon Foucart, TR 8:00 - 9:15.
• M689: The analytic theory of L functions, Dr. Matt Young, TR 9:35 - 10:50.
• M689: High dimensional probability and applications, Dr. Grigoris Paouris, TR 3:55 - 5:10.

For Spring semester 2019, the following seminar and special topics courses were offered:

• M662: Toric varieties, Dr. Laura Matusevich, TR 11:10 - 12:25.
• M662: Groups and topological dynamics, Dr. Volodymyr Nekrashevych, MWF 11:30 - 12:20.
• M663: Tensor products of C* algebras and operators spaces, Dr. Gilles Pisier, TR 9:35 - 10:50.
• M664: Elementary applied topology, Dr. Peter Kuchment, MW 5:45 - 7:00.
• M689: Random geometric structures, Dr. Eviatar Procaccia, MW 2:20 - 3:35.

For Fall semester 2018, the following seminar and special topics courses were offered:

• M662: Lie Algebras and Representation Theory, Dr. Gregory Pearlstein, MWF 1:50 - 2:40.
• M662: Introduction to semi-definite programming and algebraic optimization, Dr. Maurice Rojas, MWF 9:10 - 10:00.
• M663: Banach Spaces for Analysts, Dr. Bill Johnson, MW 4:10 - 5:25.
• M666: Higher Invariants of Elliptic Operators and Applications to Geometry and Topology, Dr. Guoliang Yu, TR 12:45 - 2:00.
• M689: Quantum computation and information, Dr. JM Landsberg, MW 4:10 - 5:25.
• M689: Deep Learning---Theory and Applications, Dr. Boris Hanin, TR 11:10 - 12:25.
• M689: Analysis on Arithmetic Hyperbolic Surfaces: the Introduction, Dr. Junehyuk Jung, MW 3:00 - 4:15.
• M689: Quantum Topology, Dr. Tian Yang, MWF 12:40 - 1:30.

For Spring semester 2018, the following seminar and special topics courses were offered:

• M662: Representations of Finite Groups, Dr. Laura Matusevich, MW 2:30 - 3:45.
• M663: Topics in Banach Spaces, Dr. Bill Johnson, MW 4:30 - 5:45.
• M663: Classical Fourier Analysis, Dr. N. Sivakumar, TR 2:20 - 3:35.
• M664: Compressive Sensing, Dr. Simon Foucart, TR 8:00-9:15.
• M689: Topological Quantum Computation, Dr. Eric Rowell, TR 9:35 - 10:50.
• M689: Random Matrices II, Drs. Michael Anshelevich and Gregory Berkolaiko, TR 2:20 - 3:35.

For Fall semester 2017, the following seminar and special topics courses were offered:

• M662: Introduction to commutative and homological algebra, Dr. Sarah Witherspoon, MWF 1:50 - 2:40.
• M662: Modular forms and L-functions, Dr. Matt Young, TR 11:10 - 12:25.
• M663: Subfactors, knots, and planar algebras, Dr. Michael Brannan, TR 11:10 - 12:25.
• M663: The structure of Hilbert modules, Dr. Ron Douglas, TR 3:55 - 5:10.
• M664: Mathematical theory of the Navier-Stokes equations, Dr. Edriss Titi, TR 9:35-10:50.
• M664: Approximation and Computation in High Dimensions, Dr. Ron Devore, TR 12:45-2:00.
• M689: Complex manifolds, Dr. Gregory Pearlstein, MWF 11:30 - 12:20.
• M689: Quantum computation and information, Dr. JM Landsberg, MWF 12:40 - 1:30.

For Spring semester 2017, the following seminar and special topics courses were offered:

• M663: Asymptotic Geometric Analysis, Dr. Grigoris Paouris, TR 2:20 - 3:35.
• M664: Periodic ordinary and partial differential equations and their applications, Dr. Peter Kuchment, TR 2:20 - 3:35.
• M664: Compressive Sensing, Dr. Simon Foucart, TR 8:00 - 9:15.
• M689: Introduction to Semi-Definite and Algebraic Optimization, Dr. Maurice Rojas, TR 9:35 - 10:50.
• M689: Random Matrices, Drs. Michael Anshelevich and Gregory Berkolaiko, TR 12:45 - 2:00.

For Fall semester 2016, the following seminar and special topics courses were offered:

• M662: Lie algebras and representation theory, Dr. Eric Rowell, TR 2:20 - 3:35.
• M663: Tensor products of C^* algebras and operator space theory, Dr. Gilles Pisier, TR 9:35 - 10:50.
• M663: Random geometry and percolation, Dr. Eviatar Procaccia, TR 2:20 - 3:35. Partial lecture notes
• M664: Topics in fluid mechanics, Dr. Prabir Daripa, MW 2:20 - 3:35.
• M666: K-theory and index theory, Dr. Guoliang Yu, TR 12:45 - 2:00.
• M689: Geometry and complexity theory, Dr. JM Landsberg, MWF 10:20 - 11:10.
• M689: Measurable group theory, Dr. Robin Tucker-Drob, TR 11:10 - 12:25.
• M689: Microlocal analysis, Dr. Dean Baskin, MWF 9:10 - 10:00.

For Spring semester 2016, the following seminar and special topics courses were offered:

• M662: Representations of the symmetric group and Young tableaux, Dr. Frank Sottile, TR 11:10 - 12:25.
• M663: Geometry of metric spaces, Dr. Florent Baudier, TR 3:55 - 5:10.
• M664: Compressed Sensing, Dr. Simon Foucart, TR 8:00 - 9:15.
• M664: Stabilization of parabolic equations and the Navier-Stokes system by feedback control, Dr. Andrei Fursikov, MW 11:10 - 12:25.
• M664: Nonlinear functional analysis and applications, Dr. Edriss Titi, MW 9:35 - 10:50.
• M666: Noncommutative geometry and index theory, Dr. Zhizhang Xie, TR 2:20 - 3:35.
• M689: Singular solutions to elliptic PDE and their approximation by finite element methods, Dr. Alan Demlow, TR 12:45 - 2:00.
• M689: Combinatorics of monomial ideals, Dr. Laura Matusevich, MWF 11:30 - 12:20.

For Fall semester 2015, the following seminar and special topics courses were offered:

• M662: Periods in transcendental number theory, Dr. Paula Tretkoff, TR 12:45 - 2:00.
• M663: Non-commutative geometry, Dr. Ron Douglas, TR 3:55 - 5:10.
• M664: Mathematics in medical imaging, Dr. Peter Kuchment, TR 2:20 - 3:35.
• M669: Topics in math biology, Drs. Anne Shui and Jay Walton, MWF 1:50 - 2:40.
• M689: Special topics in mathematical physics, Dr. Gordon Chen, TR 12:45 - 2:00.
• M689: Introduction to commutative and homological algebra, Dr. Sarah Witherspoon, MWF 11:30 - 12:25.

For Spring semester 2015, the following seminar and special topics courses were offered:

• M662: Groups and dynamical systems, Dr. Volodymyr Nekrashevych, MWF 10:20 - 11:10.
• M663: Nonlinear geometric functional analysis, Dr. William B. Johnson, TR 3:55 - 5:10.
• M663: K-theory for operator algebras, Dr. Guoliang Yu, TR 5:30 - 6:45.
• M664: Geometric PDE's and their approximations, Dr. Andrea Bonito, TR 11:10 - 12:25.
• M664: Mathematically rigorous approach to fully developed turbulence, Dr. Ciprian Foias, TR 6:00 - 8:00.
• M664: Mathematical theory of the Navier-Stokes equations, Dr. Edriss Titi, TR 9:35 - 10:50.
• M689: Introduction to sieve theory and bounded gaps between primes, Dr. Mattew Young, TR 11:10 - 12:25.