## 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 Deptartment, 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

- Ivan Chio—Complex dynamics in one and several variables, and their connections to mathematical physics
- Joshua Sumpter—Random matrices and determinantal point processes

### Graduate students

- Jiaming Chen (Mueller)
- Tsung-Kai Lin (Mueller)
- Vanessa Matus de la Parra (Rivera-Letelier)
- Jorge Olivares (Rivera-Letelier)
- Yuanyuan Pan (Mueller)

### Recent Graduate Courses

#### Spring 2022

Basic Graduate Course: Probability

Professor: Carl Mueller

#### Fall 2021

Regular Graduate Course: Stochastic Processes

Professor: Arjun Krishnan

#### Spring 2021

Basic Graduate Course: Probability

Professor: Sevak Mkrtchyan

#### Fall 2020

Topics Course: First and Last-Passage Percolation

Professor: Arjun Krishnan

#### Fall 2020

Topics Course: Stochastic PDE

Professor: Carl Mueller

#### Fall 2019

Regular Graduate Course: Stochastic Processes

Professor: Carl Mueller

#### Spring 2019

Basic Graduate Course: Probability

Professor: Carl Mueller

#### 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