**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.

- 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.

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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- 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 Tenure Track at Oregon State)

Department of Mathematics

University of Virginia

141 Cabell Drive, Kerchof Hall

P.O. Box 400137

Charlottesville, VA 22904-4137