# Research

Research Interests

I would categorize my research as “physical mathematics”, broadly on the interface of number theory, geometry, physics and computation, mostly from an analytic and arithmetic perspective.

As a physicist, I am interested in:

- Construction and characterization of rational conformal field theories with moduli spaces
- Enumerative BPS invariants in string theory (ex: BPS black hole entropy, wall crossing etc.)
- Arithmetic and motivic structures underlying Feynman integrals

As a mathematician, I am interested in:

- Mathematical structure of attractor varieties
- Applications of automorphic and analytic L functions
- Automorphic forms for groups of higher ranks & Geometric theory of automorphic forms
- Arithmetic statistics of elliptic curves and surfaces
- Cryptography
- Computational methods of Calabi-Yau geometry and arithmetic