Semyon Dyatlov will receive his Ph.D. from the University of California, Berkeley under the supervision of Maciej Zworski. He applies the methods of microlocal anaysis and dynamical systems to problems in scattering theory, quantum chaos, and mathematical general relativity. One of his research interests is scattering resonances, which are complex numbers generalizing the concept of bound states to open systems. Resonances appear in particular when studying long-time behavior of linear waves on noncompact mainfolds, or decay of classical correlations for chaotic flows. In his thesis, Semyon develops a new microlocal framework to describe asymptotics of resonances and phase space concentration of associated resonant states under dynamical assumptions motivated by the wave equations on rotating black holes.
Semyon received his B.Sc. from Novosibirsk State University in 2008. He will be a member of MSRI in Fall 2013 and move to MIT in 2014. Semyon will begin his five-year term on 1 July 2013.