The following faculty members have expressed interest in supervising graduate students over a duration of a short informal reading course. The suggested format for the course consists of once-a-week hour-long meetings over several weeks to discuss papers/books in the area of mutual interest.
The courses are informal, and no grades or credit are given. Students and faculty can deviate from the suggested format depending on their preferences/schedules.
This list will be updated as more information becomes available. Faculty members not listed here may also be open to interacting with graduate students in a reading course format and/or as PhD advisors.
- Anders Buch, algebraic geometry, Schubert calculus, combinatorics
- Fioralba Cakoni, inverse problems, PDEs, integral equations, inverse scattering theory
- Lisa Carbone, geometric group theory, Kac-Moody groups, applications to high-energy physics
- Eric Carlen, functional analysis, probability, mathematical physics
- Sagun Chanillo, classical analysis, PDEs
- Paul Feehan, Geometric analysis, elliptic and parabolic partial differential equations, geometric flows, gauge theory and applications to low-dimensional topology.
- Kristen Hendricks, Knot theory, low-dimensional topology, symplectic topology
- Xiaojun Huang, complex geometry
Reading course on complex analysis of several variables
- Yi-Zhi Huang, mathematical quantum field theory and its applications in algebra, representation theory, topology and geometry
- Michael Kiessling, mathematical physics: relativistic N-body problems; Maxwell-, Einstein-, and Dirac-equations
- Daniel Ketover, geometric analysis, minimal surfaces.
- Alex Kontorovich, number theory
- Kasper Larsen, topics in math-finance
- Joel Lebowitz, Statistical Mechanics of Equilibrium and Non-Equilibrium Systems: From the Microscopic to the Macroscopic.
- Jim Lepowsky, vertex operator algebra theory
- Feng Luo, Geometry and topology. I have also worked on computer graphics and computer networking recently.
- Yanyan Li, PDEs, Geometric Analysis
Course 1: Vorticity and incompressible flow.
Material: Chapter 1-3 of the book
[MB] A.J. Majda and A. Bertozzi, Vorticity and incompressible flow.
Cambridge Texts in Applied Mathematics, 27.
Cambridge University Press, Cambridge, 2002.
Course 2: A fully nonlinear version of the Yamabe problem.
Material: A selection of 1-3 papers.
- Konstantin Mischaikow, nonlinear dynamics, computational topology, topological data analysis and computer assisted proofs in dynamics
Detailed description Fall 2019: Our group has regular meetings Tuesday 4:00-6:00 pm.
- Bhargav Narayanan, combinatorics
Spectral methods in discrete mathematics
- Vladimir Retakh, noncommutative algebra and related topics
- Xiaochun Rong, metric Riemannian geometry
- Siddhartha Sahi, representation theory
The content of the course(s) will of course depend on the background and interests of the student(s).
- Natasa Sesum, Geometric analysis, mean curvature flow, Ricci flow
- Avraham Soffer, mathematical physics, in particular PDEs of math-phys.
Spectral and scattering theory for linear and nonlinear waves, math problems in Quantum mechanics, and related topics in Functional Analysis.
Google scholar, preprint archive
- Hongbin Sun, low dimensional topology and hyperbolic geometry
The content of the course depends on the interest of the student.
- Simon Thomas, mathematical logic: set theory and group theory
- Pham Huu Tiep, representation theory, group theory
- Li-Cheng Tsai, stochastic analysis and large deviations of interacting particle systems and PDEs.
- Michael Vogelius, Inverse problems and related analysis of Partial Differential Equations. Electromagnetic imaging, meta-materials and invisibility cloaks.
- Charles Weibel,
algebraic geometry (via Hartshorne),
vector bundles and characteristic classes,
Quillen model categories,
- Kim Weston, mathematical finance and stochastic analysis
- Chris Woodward, symplectic geometry