Academic and Professional Awards
| From 1975 | Moscow Mathematical Society (gave at least 10 talks at the sessions of MMS or ar the Petrovski seminar which is a branch of MMS) |
| 1988- 1990 | Russian State Awards Committee |
| 1988- | Editing Board of the magazine “Mathematicheskie zametki” |
| 1990- | Board of “Russian Journal of Theoretical and Mathematical Physics.” |
| 1994- | Board of “Random operators and stochastic equations,” VSP, Utrecht, Netherlands, Tokyo, Japan |
| 1995- | Board of “Random and computational Dynamics,” Marcel Dekker Inc, Atlanta, GA. 2009 |
| 2009- 2010 | Member of the Selection Committee of the American Mathematical Society for the South-Eastern states |
| 2010- | Member of the editorial board of the Journal of the Spectral Theory |
| 2013- | Fellow of American Mathematical Society |
Research
| 2015 | I have been a fellow in the program in Periodic and Ergodic spectral problems at the Isaac Newton Institute for Mathematics. Cambridge, UK, May-June |