- Computational Complexity.
- Randomized and Algebraic Computation.
- BSc (Hons), Math, Hindu College, Delhi University (1976-79).
- MSc (Math), IIT Kanpur (1979-1981).
- MTech (CSE), IIT Kanpur (1981-83).
- PhD, IIT Kanpur (1983-87).
- Lecturer, Department of Computer Science and Engg, IIT Madras (1987-88).
- Assistant Professor, Department of Computer Science and Engg, IIT Delhi (1988-93).
- Faculty member at IMSc (1993-).