- Plenary talk, SIAM Geosciences 2011.
- QRI Scolar, 2011
- Fraunhofer Bessel Award (Alexander von Humboldt Foundation), 2010
- The young researcher fellowship of Sixth U.S. National Congress on
Computational Mechanics, August 2001
- W. P. Carey Prize for outstanding thesis work in applied mathematics,
California Institute of Technology, 1999
- Saul Kaplun Memorial Fellowship, California Institute of
Technology,
1995-1996
- Honors Diploma in Moscow State University, 1993
- Second Degree Diploma (shared the second place) in the USSR
Mathematics Competition, 1988