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

• 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 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.
Automatically schedule a zoom office hours appointment here.

Students and postdocs

• Daniel Slonim, postdoc 2022-25
• Mikhail Tikhonov, Ph.D. student 2020-25
• Svetlana Gavrilova, bachelor thesis at HSE, 2020-21
• Axel Saenz, postdoc 2016-19 (now Assistant Professor at Oregon State)