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 Spring 2023, I teach MATH 3340 Complex Variables with Applications (syllabus). Class times: MoWe 2:00pm - 3:15pm, Monroe Hall 111.
Office hours: Mondays 12PM -- 1PM (Kerchof 209) and Tuesdays 1PM -- 2PM (on Zoom), starting on January 23. Zoom link for office hours is available on Canvas.
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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