Research Interests

For the most part, I study (algebraic) complexity theory. I am interested in all things algebraic, and try to look at things around me from an algebraic perspective. Currently, I am trying to learn things in Geometric Complexity Theory . My broad interests are in computational complexity theory. I am trying to learn more about pseudorandomness, particularly about expanders and pseudorandom generators. I find derandomization absolutely magical. In the past, I have worked in

  • Mathematics of Machine Learning/Statistical learning Theory: Dimensionality Reduction, Learning on Non-Euclidean Spaces; Machine Learning Techniques for computational algebraic geometric algorithms. I hope to revisit these topics one day.
  • Isogeny based Techniques for Post Quantum Cryptography
  • Topics in logic and constructive mathematics
My ultimate aim would be to marry a few of these ideas together.