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 Prajakta 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, Arch. Math. (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
(with Sourav Pal) Operators associated with the Hexablock, 41 pp.
(with Indranil Biswas and Sourav Pal) The Hexablock: a domain associated with the $\mu$-synthesis in M_2(C), 135 pp.
(with Sourav Pal and P. Sahasrabuddhe) Classification and dilation for q-commuting 2×2 scalar matrices, 18 pp.
(with Sourav Pal) The toral contractions and Γ-distinguished Γ-contractions , 55 pp.
(with Sourav Pal) Joint reducing subspaces and orthogonal decompositions of operators in an annulus, 36 pp.
(with Sourav Pal) Operators associated with the pentablock and their relations with biball and symmetrized bidisc, 40 pp.
(with Sourav Pal) Dilation of normal operators associated with an annulus, 22 pp.
(with Sourav Pal and P. Sahasrabuddhe) Theory of q-commuting contractions-II: Regular q-unitary dilation and Brehmer's positivity, 39 pp.
(with Sourav Pal) Dilation on an annulus, K-spectral set and interplay with certain varieties in the biball, 44 pp.
On doubly commuting operators in $C_{1, r}$ class and quantum annulus, 15 pp.
Dilation of a class of operators in a multiply-connected polydomain, 14 pp.
The q-commuting contractions and *-regular dilations, 15 pp.