Research

List of publications:

1. On the second cohomology of nilpotent orbits in exceptional Lie algebras,  (With Pralay Chatterjee), Bulletin  des Sciences Mathématiques, 141 (2017), no. 1, 10–24, (pdf).

2. The second cohomology of nilpotent orbits in classical Lie algebras, (With Indranil Biswas and Pralay Chatterjee, Kyoto Journal of Mathematics, 60, 2020, no. 2, 717–799, (pdf).

3.  Homotopy type of the nilpotent orbits in classical Lie algebras, (With Indranil Biswas and Pralay Chatterjee), Kyoto Journal of Mathematics, 63, no. 4, 851--891, 2023.(pdf).

4. On the parametrization of nilpotent orbits, Indian Journal of Pure and Applied Mathematics, 55 (2024), no. 2, 469–479 (pdf).  

5. Reality of Unipotent Elements in Classical Lie Groups, (With Krishnendu Gongopadhyay),  Bulletin  des Sciences Mathématiques, 185, 103261, 2023, (pdf).

6. Reversibility of affine transformations, (With Krishnendu Gongopadhyay and Tejbir Lohan),   2023, Proceedings of the Edinburgh Mathematical Society(2), 66 (2023), no. 4, 1217–1228, (pdf).

7. Reversibility and Real Adjoint Orbits of Linear Maps, (With Krishnendu Gongopadhyay and Tejbir Lohan), in Essays on Geometry dedicated to Norbert A’Campo (ed. A. Papadopoulos), European Mathematical Society Press, Berlin, 2023, DOI 10.4171/IRMA/34/15, (pdf). 

8. A note on reversibility of unipotent matrices,(With Krishnendu Gongopadhyay), in Essays on Geometry dedicated to A. Papadopoulos, Springer nature, 2024, https://doi.org/10.1007/978-3-031-76257-4_11, pdf

9. Real adjoint orbits of special linear groups, (With Krishnendu Gongopadhyay and Tejbir Lohan),  Illinois Journal of Mathematics, 68, No. 3 (2024), 433–453(pdf).  

10. A note on adjoint reality  in simple complex Lie algebras, (With Krishnendu Gongopadhyay),  Mathematical Proceedings of the Royal Irish Academy , 124A (2024), no. 1, 15–24, (pdf).

11. Product of two involutions in quaternionic special linear group, (With Krishnendu Gongopadhyay and Tejbir Lohan), to appear in Canadian Mathematical Bulletin, Vol. 68(2),2025, pp.421–439, http://dx.doi.org/10.4153/S0008439524000699  (pdf).

12. Strongly real adjoint orbits of complex symplectic Lie group (With Tejbir Lohan),  Linear algebra and its application,  706(2025), pp. 144-156 (pdf).

13. Product of two involutions in complex special linear group  (With Krishnendu Gongopadhyay and Tejbir Lohan) 2025, to appear in  Proceedings of the Edinburgh Mathematical Society(2), doi:10.1017/S0013091525000197  (pdf).   

Preprints  

• • On third and fourth Betti numbers of homogeneous spaces, (With Indranil Biswas and Pralay Chatterjee),  2023, preprint arXiv:2305.06188 (pdf).

  • Cohomology of adjoint orbits in the complex simple Lie algebra of type g_2, 2023, preprint.