My work revolves around Jones’ subfactor theory and Watatani’s C*-index theory. 

Research Papers

Preprint/Communicated:

(23) A note on symmetric commuting square, in preparation.

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

Published/Accepted papers:

(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 .

Thesis

Doctoral Thesis:  On intermediate subfactors

Supervisor:  Professor V. S. Sunder 

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).