About • (papers) • (CV)

Associate Professor of Mathematics, University of Virginia.

Leonid Petrov works in integrable probability, an area of mathematical research at the interface between probability / statistical physics on the 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 the 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 2023, I teach two sections of MATH 3100 Introduction to Probability (syllabus).
Class times: MoWe 3:30pm - 4:45pm in New Cabell 323; and MoWe 5:00pm - 6:15pm in New Cabell 232.
Office hours: To Be Arranged. Zoom link for office hours is available on Canvas.
Automatically schedule a zoom office hours appointment here.

Students and postdocs

My Picture at MIT Random tiling

Mailing Address

Leonid Petrov
Department of Mathematics
University of Virginia
141 Cabell Drive, Kerchof Hall
P.O. Box 400137
Charlottesville, VA 22904-4137