Research

My primary research area lies in Functional Analysis, Operator Theory in polydomains, associated group theory and  complex geometry.

Published/Accepted:

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

Preprints:

1. ___, S. Pal, S. Roy, A dilation theoretic approach to Banach spaces, arxiv.org/abs/2407.15112 .

2. ___, S. Pal, Spectral set, complete spectral set and dilation for Banach space operators, arxiv.org/abs/2411.01605 .

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

1. Topics in Operator Theory (Under Dr. Sourav Pal, Associate Professor, Department of Mathematics, IIT Bombay).

2.  I did my M.Sc  thesis under the guidance of Prof. Anjan Kumar Chakrabarty.  My M.Sc  thesis title is Banach and C* Algebra. 

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

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

5. P - Summing Operators in Banach spaces (Under Dr. Anil Kumar Karn, Associate Professor, School of Mathematical Sciences, NISER, Bhubaneswar).