# Probability, Ergodic Theory, Mathematical Physics

## Seminars

## Permanent Faculty

- Mark Herman
- Math physics, Schrodinger operators.
- Arjun Krishnan
- First-passage percolation, KPZ universality, stochastic homogenization.
- Sevak Mkrtchyan
- Asymptotic representation theory, asymptotic combinatorics, random tilings, determinantal point processes and random matrix theory.
- Carl Mueller
- Stochastic partial differential equations.
- Juan Rivera-Letelier
- Dynamical systems and ergodic theory, statistical properties and the thermodynamic formalism, equidistribution on manifolds

## Permanent Faculty (Physics Dept., Joint with Math)

- Sarada G. Rajeev
- High energy physics, string theory, nonlinear optics, quantum information theory, Yang-Mills theory, noncommutative geometry and probability.
- Yonathan Shapir
- Condensed matter physics and statistical mechanics, critical phenomena in disordered systems.

## Emeritus Faculty

- Richard Lavine
- Functional analysis, quantum mechanics, PDEs.

## Postdoctoral Faculty

- Ian Alevy
- Statistical mechanics, probability, discrete geometry and discrete dynamical systems
- Kazuo Yamazaki
- Stochastic differential equations, fluid dynamics, and biology.

## Graduate students

- Erin Crossen (Mkrtchyan and Pakianathan)
- Belmiro Galo Da Silva (Rivera-Letelier)
- Jorge Olivares (Rivera-Letelier)
- Yuanyuan Pan (Mueller)

## Recent Graduate Courses

- Fall 2018
- Topics Course
- Professor: Arjun Krishnan
- Spring 2018
- Regular Graduate Course: Stochastic Processes
- Professor: Arjun Krishnan
- Fall 2017
- Basic Graduate Course: Probability
- Professor: Sevak Mkrtchyan
- Spring 2017
- Topics Course: Random Matrices
- Professor: Sevak Mkrtchyan
- Fall 2016
- Basic Graduate Course: Probability
- Professor: Juan Rivera-Letelier
- Fall 2015
- Topics Course: Statistical mechanics, the dimer model
- Professor: Sevak Mkrtchyan
- Fall 2015
- Topics Course: Arithmetic Equidistribution
- Professor: Juan Rivera-Letelier
- Fall 2014
- Basic Graduate Course: Probability
- Professor: Sevak Mkrtchyan
- Fall 2014
- Topics Course: Stochastic Calculus
- Professor: Carl Mueller