Preprints & Communicated Manuscripts (2026)

(v) On regular subfactors, joint with Indrajit Ghosh · Preliminary version (2026) · arXiv:2609.10118

(iv) Structural and dynamical properties of subfactor commuting squares, joint with C. Silambarasan · Preliminary version (2026) · arXiv:2608.23125

(iii) A complete characterization of regular inclusions of finite-dimensional C*-algebras, joint with Indrajit Ghosh and Sumit Kumar · Communicated (2026) · arXiv:2608.04572

(ii) Regular diagonal subfactors, joint with Ved Prakash Gupta, Guruprasad, and Biplab Pal · Communicated (2026) · arXiv:2607.13822

(i) Regular irreducible inclusions of simple C*-algebras and crossed product structure, joint with C. Silambarasan and Biplab Pal · Communicated (2026) · arXiv:2605.12221

Published & Accepted Journal Articles

2026

(24) Unitary normalizers in finite-dimensional inclusions (joint with C. Silambarasan), Linear Algebra and its Applications (Accepted, 2026) · arXiv:2602.01987

(23) Intersection of conjugate Hadamard subfactors arising from Fourier matrices (joint with Satyajit Guin and Guruprasad), Journal of the Australian Mathematical Society (Accepted, 2026) · arXiv:2510.14499

(22) Weak quantum hypergroups from finite-index C*-inclusions (joint with Debashish Goswami and Biplab Pal), International Mathematics Research Notices (IMRN) (Accepted, 2026) · arXiv:2601.12406

2025

(21) A noncommutative construction of families of biunitary matrices and application to subfactors (joint with Satyajit Guin and Guruprasad), Journal of Operator Theory (Accepted, 2025) · arXiv:2506.14351

(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), International Journal of Mathematics (Accepted, 2025) · arXiv:2506.16130

(19) Unitary orthonormal bases of finite-dimensional inclusions (joint with B. V. Rajarama Bhat), International Mathematics Research Notices (IMRN) (Accepted, 2025) · arXiv:2502.11821

(18) Regular inclusions of simple unital C*-algebras (joint with Ved Prakash Gupta), Münster Journal of Mathematics (2025) · arXiv:2404.06959

(17) On Pimsner–Popa orthonormal basis and Popa’s relative dimension of projections (joint with Satyajit Guin), New York Journal of Mathematics (2025) · arXiv:2311.13820

(16) Inner conjugate pair of Hadamard subfactors and vertex models (joint with Satyajit Guin and Guruprasad), Proc. Indian Acad. Sci. (Math. Sci.) (2025) · arXiv:2401.01664

(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 (2025) · arXiv:2311.07244

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

2024

(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 (2024) · arXiv:2401.01696

2023

(11) Fourier-theoretic inequalities for inclusions of simple C*-algebras (joint with Satyajit Guin and Sruthymurali), New York Journal of Mathematics 29 (2023), 335–362 · arXiv:2210.09006

2022

(10) A short note on relative entropy for a pair of intermediate subfactors, Proceedings of the American Mathematical Society 150 (2022), 3469–3477 · arXiv:2105.03914

(9) Intermediate planar algebra revisited, II (joint with Sruthymurali), International Journal of Mathematics 33 (2022), no. 13, 2250083 · arXiv:2110.01215

(8) A few remarks on Pimsner–Popa bases and regular subfactors of depth 2 (joint with Ved Prakash Gupta), Glasgow Mathematical Journal 65 (2022), 336–350 · arXiv:2102.01462

2021

(7) Lattice of intermediate subalgebras (joint with Ved Prakash Gupta), Journal of the London Mathematical Society (2) 104 (2021), 2082–2127 · DOI · arXiv:2005.01049

(6) Commuting squares and planar subalgebras (joint with Vijay Kodiyalam), Journal of Operator Theory 86 (2021), Issue 1, 145–161 · arXiv:1912.04546

2020

(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:1904.05612

2019

(4) A note on irreducible quadrilaterals of II₁ factors (joint with Ved Prakash Gupta), International Journal of Mathematics 30 (2019), no. 12, 1950061, 22 pp. · arXiv:1902.00195

(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 (2019), no. 8, 5973–5991 · arXiv:1710.00285

2018 & 2017

(2) Intermediate planar algebra revisited, International Journal of Mathematics 29 (2018), no. 12, 1850077, 42 pp. · arXiv:1611.05811

(1) On Pimsner–Popa bases, Proc. Indian Acad. Sci. (Math. Sci.) 127 (2017), no. 1, 117–132 · arXiv:1504.00103