Research

List of publications:

Published / Accepted:

1. (With Krishnendu Gongopadhyay) Reversibility of Hermitian isometries, Linear Algebra and its Applications, Vol. 639 (2022), 159-176.

2. (With Krishnendu Gongopadhyay and Chandan Maity) Reversibility of affine transformations, Proceedings of the Edinburgh Mathematical Society, 2023, 1-12.

3. (With Krishnendu Gongopadhyay and Sandipan Dutta) Limit sets of cyclic quaternionic Kleinian groups, Geometriae Dedicata 217, 61 (2023).

4. (With Krishnendu Gongopadhyay  and Sandipan Dutta) Classification and decomposition of quaternionic projective transformations. Linear Algebra and its Applications, Vol. 676 (2023), 66-87. 

5. (With Krishnendu Gongopadhyay and Chandan Maity) Reversibility and real adjoint orbits of linear maps. Essays in Geometry, dedicated to Norbert A'Campo (ed. A. Papadopoulos), European Mathematical Society Press, Berlin, 2023, DOI: 10.4171/IRMA/34/15. 

6. (With Krishnendu Gongopadhyay and Chandan Maity) Real adjoint orbits of special linear groups, Illinois Journal of Mathematics, 68 (3), September 2024, 433-453.

7. (With Krishnendu Gongopadhyay and Chandan Maity) Product of two involutions in quaternionic special linear group, Canadian Mathematical Bulletin, 68 (2025), no. 2, pp. 421-439.

8. (With Chandan Maity) Strongly real adjoint orbits of complex symplectic Lie group, Linear Algebra and its Applications, 706 (2025), 144--156.

9. (With Krishnendu Gongopadhyay and Chandan Maity) Strongly reversible classes in SL(n, C), Proceedings of the Edinburgh Mathematical Society, 2025, pp. 1-32.

Preprints:

1. (With Krishnendu Gongopadhyay and Abhishek Mukherjee) Reversibility and algebraic characterization of the quaternionic Möbius transformations, preprint, arXiv:2401.15374.

2. (With Chi-Kwong Li and Sushil Singla) Linear maps preserving products of involutions, 2025, 22 pages, preprint, arXiv:2504.14198.

Under preparation:

1.  (With Chandan Maity) Real adjoint orbits of complex orthogonal maps (in preparation).

2.  (With Archita Gupta and Pooja Singla) Real classes and real characters of general linear groups and unitary groups of degree two over principal ideal local rings of finite length (in preparation).