- Plenary Speaker, International Society of Porous Media, May 2015
- 45 minute Invited Talk, International Congress of Mathematicians, South Korea, 2014 (the article in SCIENCE, TAMU)
- Plenary talk, SIAM Geosciences 2011.
- 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