Preprint/Communicated:

(29) Regularity, joint with Silambarasan C., in preparation.

(28) A complete characterization of regular inclusions of finite dimensional C*-algebras, joint with Indrajit Ghosh and Sumit Kumar, arXiv version 2026.

(27) Regular diagonal subfactor, joint with Ved Prakash Gupta, Guruprasad and Biplab Pal, arXiv version 2026.

(26) Regular irreducible inclusions of simple C*-algebras and crossed product structure; joint with Silambarasan C, Biplab Pal ,communicated,  arXiv version. 2026.

(25) Unitary normalizers in finite-dimensional inclusions; joint with  Silambarasan C., arXiv version, 2026 (communicated).

(24) A note on symmetric commuting square, with C. Silambarasan and Biplab Pal,  in preparation.

(23) Intersection of conjugate Hadamard subfactors arising from Fourier matrices; joint with Satyajit Guin and Guruprasad, arXiv version, 2025 (communicated).

Published/Accepted papers:

(22) Weak quantum hypergroups from finite index C*-inclusions; joint with Debashish Goswami and Biplab Pal, International Mathematics Research Notices (IMRN), accepted, 2026,  arXiv version.

(21)  A noncommutative construction of families of biunitary matrices and application to subfactors; joint with Satyajit Guin and Guruprasad, arXiv version, Journal of Operator Theory, accepted, 2025.

(20) Higher reflections and entropy of canonical shifts for inclusions of C*-algebras with finite Watatani index; joint with Satyajit Guin, Biplab Pal and Sruthymurali, arXiv version , 2025, International Journal of Mathematics, accepted.

(19) Unitary orthonormal bases of finite dimensional inclusions; joint with Rajarama Bhat, International Mathematics Research Notices (IMRN), accepted,  arXiv version , 2025.

(18) Regular inclusions of simple unital  C*-algebras; joint with  Ved Prakash Gupta, Münster Journal of Mathematics, accepted, arxiv version , 2025.

(17) On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections; joint with Satyajit Guin, New York Journal of Mathematics, accepted, 2025, arXiv version  

(16) Inner conjugate pair of Hadamard subfactors and vertex model; joint with Satyajit Guin and Guruprasad, Proc. Indian Acad. Sci. Math. Sci, accepted, 2025, arXiv version.

(15) A few remarks on intermediate subalgebras of an inclusion of C*-algebras; joint with Satyajit Guin and Debabrata Jana, Infinite Dimensional Analysis, Quantum Probability and Related topics, accepted on 10 March, 2025, arXiv version.

(14) Relative position between a pair of spin model subfactors; joint with Satyajit Guin,  Journal of the Australian Mathematical Society, accepted, 2025.

(13)  A family of subfactors arising from a pair of complex Hadamard matrices; joint with Satyajit Guin, International Journal of Mathematics, 36 (2025), no.2, Paper No. 2450071, 48 pp

(12) Von Neumann entropy of the angle operator between a pair of intermediate subalgebras; joint with Satyajit Guin and Biplab Pal,  Journal of Noncommutative Geometry, to appear, 2024, arXiv version.

(11) Fourier theoretic inequalities for inclusions of simple C*-algebras; joint with Satyajit Guin and Sruthymurali, New York Journal of Mathematics, accepted on 13 Feb, 2023,  arXiv version.

(10) A short note on relative entropy for a pair of intermediate subfactors, Proceedings of the American Mathematical Society,  2022, arXiv version. 

(9)  Intermediate planar algebra revisited, II; joint with Sruthymurali , International Journal of Mathematics, 2022, arXiv version.

(8) A few remarks on Pimsner-Popa bases and regular subfactors of depth 2, joint with Ved Prakash Gupta , Glasgow Mathematical  Journal, to appear, 2021, arXiv version .

(7) Lattice of intermediate subalgebras, joint with Ved Prakash Gupta , Journal of the London Mathematical Society,  (2), 104, 2021, 2082-2127, DOI: https://doi.org/10.1112/jlms.12492,  arXiv version .

(6) Commuting squares and planar subalgebras, joint with Vijay Kodiyalam , Journal of Operator Theory 86 (2021), Issue. 1, pp 145-161, arXiv version .

(5) On orthogonal systems, two-sided bases and regular subfactors, joint with Ved Prakash Gupta , New York Journal of Mathematics, 26 (2020), 817-835, arXiv version . 

(4) A note on irreducible quadrilaterals of II_1 factors, joint with Ved Prakash Gupta, International Journal of Mathematics, 30 (2019), no. 12, 1950061, 22pp, arXiv version . 

(3) An angle between intermediate subfactors and its rigidity, joint with Sayan Das , Zhengwei Liu  and Yunxiang Ren , Transactions  of  the  American Mathematical Society, 371(8), 2019, 5973-5991, arXiv version .

(2) Intermediate planar algebra revisited, International Journal of Mathematics, 29(12), 2018, 42 pp, arXiv version .

(1) On Pimsner-Popa bases, Proc. Indian Acad. Sci. Math. Sci, 127(1): 117–132, 2017, arXiv version .

Links

1. My ArXiv .                                                                                

2. My Researchgate page.           

3. My  Google scholar .

4. My  Mathscinet .

5. Video links of the Mini-Course offered by me on Planar Algebras (WOTOA).