About • (papers) • (CV)

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

• NSF grant 2153869 "Random Systems from Symmetric Functions and Vertex Models" (2022-2025).
• Focused Research Group in Integrable Probability (2017-2022) supported by the NSF grant 1664617 and companion grants 1664531, 1664619, 1664650.

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)
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