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Research

Probability, Ergodic Theory, Mathematical Physics

Seminars

Permanent Faculty

  • Mark HermanMath 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

Postdoctoral Faculty

  • Ian Alevy—Statistical mechanics, probability, discrete geometry and discrete dynamical systems
  • Ivan Chio—Complex dynamics in one and several variables, and their connections to mathematical physics

Graduate students

Past Graduate Students

Recent Graduate Courses

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