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

Publications: 

1. On the dimension of p-Bergman space, (with Achinta Nandi) The Journal of Geometric Analysis 36, 302 (2026).
   DOI: 10.1007/s12220-026-02548-0 , arXiv

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

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

•  Preprint of Dissertation (link)

Seminar, Workshops & Talks

• Talk: (18 Sep '25) "Reproducing Kernel Hilbert space", TIFR-CAM In-house Symposium, TIFR-CAM. 

• Workshop: (Jun '25) Advanced Training in Mathematics Schools, IIT Palakkad.

• Workshop: (Apr 24 '25) Lean for Curious Mathematician, ICTS Bengaluru.

• Conference: (Dec 27' 24) RMS 2024, Christ University, Bengaluru.

• Conference: (Dec 17 '24) ICSAMY, IIT Indore.

• Workshop: (Jun 24 '24) JWISCV, University of Wisconsin, Madison.

• Talk: (Apr 11 '24) "Duality of p-Bergman space", Texas A&M University GSO.

• Talk: (Feb 08 '24) "p-Bergman Spaces", Complex Analysis and Operator theory seminar, University of Toledo (remote).

• Talk: (Jan 06 '24)  "p-Skwarczyński distance", AMS Special Session on Geometric Analysis in Several Complex Variables at JMM 2024, San Fransisco. 

• Talk: (Nov 04 '23)  "p-Skwarczyński distance",  (Complex) analysis in differential equations mini-symposia at 6th SIAM Texas-Louisiana Sectional Meeting (SIAM TX-LA 2023), University of Lafayette, Louisiana.

• Talk: (Oct 26 '23) "Distances and Metrics in Complex Analysis", Texas A&M University GSO.

• Poster presentation: (Oct 14 '23) "p-Skwarczyński distance",  Midwestern Workshop on Asymptotic Analysis, Indiana University–Purdue University Indianapolis. 

• Midwest Several Complex Variables 2023 (A Conference celebrating  Jeffrey McNeal).

• Talk: (Nov 10, Dec 01, 2022) "p-Bergman kernel", Several Complex Variables Seminar, Texas A&M University.

• Midwest Several Complex Variables 2022 (A Conference in honor of Mei-Chi Shaw) 📸

• Talk: (Feb 02, 2019) "Toeplitz operator and its norm",  Student Seminar, IIT Madras. 

Notes:
These notes are prone to error and are constantly under change. Please pardon any mistakes and typos in the notes.