This is a brief overview of some of the research I have done. For complete details about all projects, refer to my CV on this page.

1. Zooming up Matrices for Universal Wavefunctions! (TIFR, Mumbai) (2025). Advisor - Onkar Parrikar

Studied nearly de Sitter JT gravity, and the construction of a Hartle-Hawking wavefunction of the universe. Alongside, I investigated its microscopic realisation via the double-scaled Sachdev-Ye-Kitaev model, which shows how dS JT gravity emerges from the upper edge of the compact DSSYK spectrum as an unstable saddle of an associated matrix model. Honed my mathematical grasp on Matrix models and Topological recursion.

2. Geometries and Cosmological Correlators (Durham University, England) (Summer 2025). Advisor - Arthur Lipstein

Analysed geometric structures underlying differential equations satisfied by the cosmological wavefunction and cosmological correlators in power-law FRW backgrounds using two complementary approaches: one used geometric flows and graph combinatorics, and the other used techniques of positive geometry and associated canonical logarithmic differential forms. Analysed the boundary-condition dependencies of the associated canonical forms and polytopes.

3. Analysing Loop Feynman Diagrams in AdS Space (IIT Delhi) (2023-2024). Advisor - Sarthak Parikh

Calculated Feynman diagrams that provide one-loop corrections to the scalar phi-cubed theory on AdS space in the position representation. Regularisation of UV divergences was explored using numerical analysis on Mathematica. Mellin Amplitudes were employed to derive concise n-point generalised identities.