| 1975 |
First Prize at the Polish Mathematical Olympiad |
| 1980-82 |
Stanley M. Tasheira and Genevieve Lichtig Fellowship and
Scholarship, University of California, Berkeley |
| 1984-85 |
S.E. Warschawski Assistant Professorship, University of California, San Diego |
| 1992 |
American Mathematical Society Centennial Research
Fellowship |
| 1992 |
Rollo Davidson Prize |
| 1999 |
"Kolmogorov Lecture" (Fields Institute, Toronto) |
| 1999 |
Fellow, Institute of Mathematical Statistics |
| 2011 |
Wacław Sierpiński Lecture and Medal |
| 2012 |
Fellow of the American Mathematical Society (inaugural class)
|