Samir Panja
Post-Doctoral Fellow at Indian Statistical Institute, Bangalore
Specializing in Functional Analysis, Complex Analysis, Operator Theory, and Function Theory.
About Me
I am currently a Post-Doctoral Fellow at the Indian Statistical Institute (ISI) Bangalore Centre, working with Prof. Jaydeb Sarkar. Previously, I served as an Institute Post-Doctoral Fellow and a Research Associate at the Indian Institute of Technology (IIT) Bombay.
Education
Ph.D. in Mathematics
Supervised by Prof. Bata Krishna Das.
M.Sc. in Mathematics
B.Sc. in Mathematics (Honours)
Research Interests
My research interests are centered around Functional Analysis, Complex Analysis, Operator Theory, and Function Theory, with a particular emphasis on:
- Dilations & Commutant Lifting
- Toeplitz & Hankel Operators
- Complete Nevanlinna-Pick Spaces
- de Branges-Rovnyak Spaces
- Non-commutative Function Theory
Publications & Preprints
Publications
Isometric dilation and Sarason's commutant lifting theorem in several variables
Canadian Journal of Mathematics (to appear)
Liftings and invariant subspaces of Hankel operators
Publicacions Matemàtiques (to appear)
de Branges-Rovnyak spaces which are complete Nevanlinna-Pick spaces
Journal of Geometric Analysis 35(2025), no. 2, Paper No. 61
Factorization of Toeplitz operators
New York Journal of Mathematics 29 (2023), 848 - 873
Dilations and Operator Models of W-Hypercontractions
Complex Analysis and Operator Theory 17 (2023), no. 2, Paper No. 22
Preprints
de Branges-Rovnyak spaces
Preprint
Factorization of 𝜔-hypercontractions
Preprint