Research

My research focuses on several complex variables and complex analysis, specifically Bergman spaces and Invariant metrics on domain in Cn

Preprints: 

1.  Abundance of Bergman metrics with constant positive holomorphic sectional curvature , (with Soumya Ganguly, Achinta Nandi, Ming Xiao) pre-print (2026).
   (arXiv)

2. Stability of the Monomial Basis Kernel of Reinhardt domains , (with Sahil Gehlawat) pre-print (2026).
   (arXiv)

3. Remarks on the dimension of p-Bergman space, (with Achinta Nandi) pre-print (2025).
   (arXiv)

4. Duality and Interpolation of Bergman Spaces, pre-print (2024).
   (arXiv) 

Publications: 

1. Extremal Basis for the p-Bergman Spaces, Can. Math. Bull.  (2026).
   DOI: 10.4153/S0008439526102057

2. p-Skwarczyński distance,Complex Anal Synerg 9, 15 (2023).
   DOI: 10.1007/s40627-023-00126-6, (arXiv)

•  Preprint of Dissertation (link)