**Associate Professor of Mathematics, University of
Virginia**.

Leonid Petrov works in integrable probability, which is an
area of mathematical research at the interface between
probability / statistical physics on one hand, and
representation theory / quantum integrability on the other.
He applies tools from integrability (symmetric functions and
Yang-Baxter equations for solvable lattice models) to
analyze asymptotic behavior of stochastic models motivated
by a wide range of real-world questions, including the
structure of ice and other condensed matter, magnetism,
quantum spin systems, thermodynamics, traffic models, and
directed polymers.

**Keywords**: Integrable probability, KPZ universality, interacting particle systems,
six vertex model, Yang-Baxter equation, stochastic vertex models,
Bethe ansatz, Macdonald processes, random tilings, symmetric functions, algebraic combinatorics

### Teaching • (all)

In Fall 2022, I teach MATH 3100 Introduction to Probability and

MATH 8852 Asymptotic Representation Theory.

MATH 3100 Class times:

**TuTh 12:30pm - 1:45pm**,

**New Cabell Hall 323**
MATH 8852 Class times:

**TuTh 2:00pm - 3:15pm**,

**Kerchof Hall 317**
Office hours (both courses): M2:30-3:30pm; W2:00-3:00pm in

209 Kerchof Hall or on zoom (link on Collab)

Automatically schedule an office hours appointment

here.