Research

My research area lies in Functional Analysis, Operator Theory and Several Complex Variables.

Published/Accepted:

• (With Sourav Pal and Nitin Tomar), Remarks on positive definite functions on a group, Positivity, 29 (2025), Paper No.10, 33 pp.

Preprints:

• (With Sourav Pal), On a minimal Ando dilation for a pair of strict contractions, Available at arxiv.org/abs/2603.26321 , 13 pp.

• (With Sourav Pal), Spectral set, complete spectral set and dilation for Banach space operators, Available at arxiv.org/abs/2411.01605 , 16 pp.

• (With Sourav Pal and Saikat Roy), A dilation theoretic approach to Banach spaces, Available at arxiv.org/abs/2407.15112 , 67 pp.

I had have tried to carry out some seminar and project courses before joining as a regular PhD student.  The following are the details.

• Topics in Operator Theory (Under Prof. Sourav Pal, Department of Mathematics, IIT Bombay).

• Self reading course on Hilbert-Schimdt Operators and Trace Class Operators in IIT Bombay.

• P - Summing Operators in Banach spaces (Under Prof. Anil Kumar Karn, School of Mathematical Sciences, NISER, Bhubaneswar). 

•  Completed M.Sc  thesis under the guidance of Prof. Anjan Kumar Chakrabarty.  My M.Sc  thesis title is Banach and C* Algebra. 

•  Seminar on Analytical and Topological Proof of Existence of Infinite Number of Primes in IIT, Guwahati.