I am interested in the applications of algebra, combinatorics and analysis in computational complexity theory, and in general in the interplay between theoretical computer science and mathematics.

My research interests are mainly in
circuit complexity theory. I also study algebraic, structural complexity theory.
A little more specifically, my choice of research problems are related to:

- Explicit Constructions, Measures of Complexity, Circuit Lower Bounds and related Algebraic & Combinatorial Problems.
- Combinatorial methods in Boolean Circuit Complexity and Lower Bounds.
- Complexity Classes vs Formal Language Based Classes of Languages, Word Problems.
- Complexity of Isomorphism and related algorithmic problems from algebraic structures.
- Space Complexity and related problems from algorithmic Linear Algebra.
- Structural Complexity Theory, Reductions and Completeness.

I am also looking forward to working with motivated students who are interested in research in complexity theory.

Last update: Sun Jan 21 15:05:58 IST 2024