**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.

Class times:

Office hours: Monday 1:30-2:30pm, Wednesday 11:30am-12:30pm.

Automatically schedule a zoom office hours appointment here.

AI-powered workflows for math teaching and research (updated November 2023)

Conference Randomness and Lie-Theoretic Structures at University of Virginia, **March 4-5, 2024**.

Reading seminar on solvable lattice models in Fall 2023

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

- 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)

__@virginia.edu | |

-_-@virginia.edu | |

petrov@virginia.edu | |

lenia.petrov@gmail.com | |

+1-434-924-4167 | |

lenis2000 |

Department of Mathematics

University of Virginia

141 Cabell Drive, Kerchof Hall

P.O. Box 400137

Charlottesville, VA 22904-4137