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: Monday 1:30-2:30pm, Wednesday 11:30am-12:30pm.
Automatically schedule a zoom office hours appointment here.

Recent news and links

  • Conference Randomness and Lie-Theoretic Structures at University of Virginia, March 4-5, 2024.
  • How to Solve the Stochastic Six Vertex Model - lecture notes in progress for the mini-course at the summer school "Probability and Algebra: New Expressions In Mathematics", Texas A&M, July 2023
  • 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