Professor of Mathematics
Washington University in St. Louis, Department of Mathematics
Office: Cupples I, Room 17
e-mail:


Research

Current interest: stochastic dynamics (random billiards, stochastic thermodynamics), differential geometry (particularly in connection to mechanical systems).

See here for a list of publications.


Teaching

Current or near future courses

  • Math 5047: Geometry/Topology III: Differential Geometry (Fall 2024)

Past courses

  • Sabbatical year (Fall 23 - Spring 24)
  • Math 401: Honors Seminar in Math (Spring 2023)
  • Math 5047: Geometry/Topology III: Differential Geometry (Fall 2022)
  • Math 444: The Mathematics of Quantum Theory (Fall 2022)
  • Math 495: Stochastic Processes (Spring 2022)
  • Math 4971: Stochastic Differential Equations (Fall 2021)
  • Math 5031: Algebra I (Fall 2021)
  • Math 400: Freiwald Uncergraduate Research Seminar (Spring and Summer 2021)
  • Math 4171: Topology I (Fall 2020)
  • Math 5047: Geometry/Topology III: Differential Geometry (Fall 2020)
  • Math 310: Foundations for Higher Mathematics (Fall 2019)
  • Math 406: Stochastic Differential Equations (Fall 2019)
  • Math 528: Mathematics of Quantum Theory (Spring 2019)
  • Math 5041: Geometry I: Calculus on Manifolds (Fall 2018)
  • Math 497: Linear Representations of Finite Groups and Lie Groups (Fall 2018)
  • Math 312: Differential Equations and Dynamical Systems (Spring 2018)
  • Math 493: Probability (Fall 2017)
  • Math 523: Introduction to Information Theory for Mathematics Students (Fall 2017)
  • Math 4121: Introduction to Lebesgue Integration (Spring 2017)
  • Math 495: Stochastic Processes (Spring 2017)
  • Math 495: Stochastic Processes (Spring 2016)
  • Math 523: Self-adjoint operators in Hilbert spaces (Spring 2016)
  • Math 496: Lie Groups, Lie Algebras, and Representations (Fall 2015)
  • Math 407: An Introduction to Differential Geometry (Spring 2015)
  • Math 495: Stochastic Processes (Spring 2015)
  • Math 553: Stochastic Dynamical Systems (Fall 2014)
  • Math 523: Quantum Mechanics for Mathematics Students (Spring 2014)
  • Math 493: Probability (Fall 2013)
  • Math 3200: Statistics and Data Analysis (Spring 2013)
  • Math 547: Symplectic Geometry and Mechanics (Spring 2013)
  • Math 350: Introduction to Monte Carlo Methods (Fall 2012)
  • Math 449: Numerical Applied Mathematics (Fall 2012)
  • Math 233: Calculus III (Fall 2011)
  • Math 5043: Algebraic Topology (Spring 2011)
  • Math 5141: Geometry I: Calculus on Manifolds (Fall 2010)
  • Math 543: Geometry of Physics (Fall 2010)
  • Math 350: Simulation Analysis of Random Processes (Spring 2010)
  • Math 553: Brownian Motion on Riemannian Manifolds (Spring 2010)
  • Math 5052: Measure Theory and Functional Analysis II (Spring 2009)
  • Math 5052: Measure Theory and Functional Analysis I (Fall 2008)
  • Math 545: Topics in Riemannian Geometry - Geometry of Physics (Fall 2008)
  • Math 132: Calculus II (Spring 2008)
  • Math 450: Topics in Applied Mathematics - Computational Random Processes (Spring 2007)
  • Math 523: Introduction to Ergodic Theory (Fall 2006)
  • Math 449: Numerical Applied Mathematics (Fall 2006)
  • Math 5032: Algebra II (Spring 2006)
  • Math 5031: Algebra I (Fall 2005)
  • Math 535: Topics in Combinatorics: Spectral Graph Theory (Fall 2005)
  • Math 309: Matrix Algebra (Spring 2005)
  • Math 495: Stochastic Processes (Spring 2005)
  • Math 545: Topics in Riemannian Geometry: Discrete Subgroups of Lie Groups (Fall 2004)
  • Math 308: Mathematics for the Physical Sciences (Spring 2004)
  • Math 485: Groups, Representations, and Physics (Spring 2004)
  • Math 350: Topics in Applied Mathematics: Mathematics of Reaction-Diffusion Systems (Fall 2003)
  • Math 308: Mathematics for the Physical Sciences (Spring 2003)
  • Math 418: Introduction to Topology and Modern Analysis II (Spring 2003)
  • Math 417: Introduction to Topology and Modern Analysis I (Fall 2002)
  • Math 441: Geometry I: Calculus on Manifolds (Fall 2002)
  • Math 100: Foundations for Calculus (Spring 2002)
  • Math 545: Geometry and Probability: Stochastic Calculus on Riemannian Manifolds (Fall 2001)