My broad areas of research are Functional Analysis, Operator Theory and Several Complex Variables. Here is a list of the papers and my arXiv link .
Published/Accepted
(with Sourav Pal and James E. Pascoe) Spectral constants for the quantum annulus, Communications on Pure and Applied Analysis, Accepted.
(with Sourav Pal) Operators associated with the pentablock and their relations with biball and symmetrized bidisc, Annales Fennici Mathematici, Accepted.
(with Sourav Pal) Constrained dilation and Γ-contractions, Complex Analysis and Operator theory, Accepted.
On doubly commuting operators in $C_{1, r}$ class and quantum annulus, Journal of Operator Theory, Accepted.
(with Sourav Pal) Dilation of normal operators associated with an annulus, Results in Mathematics, Accepted.
(with Sourav Pal and P. Sahasrabuddhe) Theory of q-commuting contractions-II: Regular dilation, Brehmer's positivity and von Neumann's inequality, Arkiv för Matematik, Accepted.
Dilation of a class of operators in a multiply-connected polydomain, Journal of the Ramanujan Mathematical Society, Accepted.
The q-commuting contractions and *-regular dilations, Journal of Mathematical Analysis and Applications, Vol. 556, Issue 1, Part 3, 130214.
(With Sourav Pal), A model theory for a subclass of A_r-contractions, Complex Analysis and Operator theory, 40 (2026), https://doi.org/10.1007/s11785-025-01896-z.
(With Sourav Pal and P. Sahasrabuddhe) Theory of Q-commuting contractions : joint reducing subspaces and orthogonal decompositions, Infinite Dimensional Analysis, Quantum Probability and Related Topics, To appear.
(with Sourav Pal) Characterizations and models for the C{1,r} class and quantum annulus, Canadian Mathematical Bulletin (2025), 16 pp.
(with Sourav Pal and Swapan Jana) Remarks on positive definite functions on a group, Positivity, 29 (2025), no. 1, Paper No. 10, 33 pp.
(with Sourav Pal) The 2×2 block matrices associated with an annulus, Archiv der Mathematik (2024), 8 pp.
A new characterization for the distinguished boundaries of a few domains related to μ-synthesis, Pro. Indian Acad. Sci. Math. Sci. (2024), 7 pp.
Communicated/Preprints
Intertwining of *-regular q-isometric dilations, 12 pp.
Regular quantum annulus unitary dilation and applications, 28 pp.
(with Indranil Biswas and Sourav Pal) The Hexablock: a domain associated with the $\mu$-synthesis in M_2(C), 48 pp.
(with Indranil Biswas and Sourav Pal) Automorphisms and distinguished boundary of a domain in $\C^4$, To appear.
(with Indranil Biswas and Sourav Pal) A domain in $\C^4$ and its connection with domains in $\mu$-synthesis problem, To appear.
(with Sourav Pal) A Toeplitz corona theorem for the pentablock and applications, 16 pp.
(with Sourav Pal) Realization, interpolation, extension on the pentablock and applications to bidisc, symmetrized bidisc, 27pp.
(with Sourav Pal) Rigidity of the structured singular value and applications, 20 pp.
(with Sourav Pal) A domain in C^4 and its connection with \mu-synthesis problem, 18 pp.
(with Sourav Pal) Operators associated with the Hexablock, 41 pp.
(with Sourav Pal) The toral contractions and Γ-distinguished Γ-contractions , 32 pp.
(with Sourav Pal) Dilation on an annulus and von Neumann's inequality on certain varieties in the biball, 30 pp.
(with Sourav Pal and P. Sahasrabuddhe) Classification and dilation for q-commuting 2×2 scalar matrices, 17 pp.
(with Sourav Pal) Joint reducing subspaces and orthogonal decompositions of operators in an annulus, 36 pp.