About

I am a postdoctoral scholar in the Department of Mathematics at Oregon State University, working with Axel Saenz. I received my PhD in mathematics from the University of Virginia in 2026, advised by Leonid Petrov, and before that I studied physics at Lomonosov Moscow State University. For more details, see my CV.

I work on problems in integrable probability and statistical mechanics, studying stochastic systems such as random permutations, lozenge tilings, stochastic vertex models, polymer models, and random walks. A central feature of these systems is integrability, which arises from their underlying geometric or algebraic structures. Recently, my research has centered on applications of vertex models (and related tools, such as the Yang-Baxter equation) to other areas of mathematics and to other sciences.

Keywords: Integrable probability, interacting particle systems, stochastic six-vertex model, Yang-Baxter equation, stochastic vertex models, quantum spin systems, random tilings, symmetric functions, representation theory, algebraic combinatorics, KPZ universality

Contact: me@mtikhonov.com