Semyon Dyatlov

Bio

Semyon Dyatlov is a Professor of Mathematics, as of July 2024. In July 2019 he received tenure. He was appointed an Associate Professor of Mathematics in July 2018. He joined the mathematics faculty as Assistant Professor in January 2015. Semyon obtained his Ph.D. from UC Berkeley in 2013, under the guidance of Maciej Zworski. He received a Clay Research Fellowship (2013-2018), a Sloan Research Fellowship (2017-2021), an NSF CAREER grant (2018-2024), the Early Career Award of the International Association of Mathematical Physics (2018) and the inaugural AMS-EMS Mikhail Gordin Prize (2022). He also received the 2020 MIT Teaching with Digital Technology Award. In 2022 he gave an Invited Address (PDEs section) at the International Congress of Mathematicians (ICM) and in 2025 he gave an AMS Invited Address at the Joint Mathematics Meetings.

The unifying theme in Semyon's recent research is the use of microlocal analysis, which is a mathematical theory underlying the classical/quantum, or particle/wave, correspondence in physics, in combination with hyperbolic dynamics, which is a mathematical theory of strongly chaotic systems. He has worked on: (1) quantum chaos, applying the fractal uncertainty principle to lower bounds on mass of eigenfunctions and to spectral gaps for scattering resonances; (2) Pollicott-Ruelle resonances of hyperbolic dynamical systems, and relating the singularities of dynamical zeta functions to topological invariants; (3) the study of forced waves in water tanks; (4) less recently, in quasi-normal modes and resonance expansions in general relativity.