Research

 Publications

1. Equivariant vector bundles on complexity-one T varieties and Bruhat-Tits Buildings (with Jyoti Dasgupta, Kiumars Kaveh and Christopher Manon), International Mathematics Reseach Notices, 2025, arXiv: 2406.02912.

2. Some recent results on the punctual Quot schemes (with Indranil Biswas and Ronnie Sebastian), ICTS Conference proceedings (To appear), 2025, arXiv:2501.04716.

3. Infinitesimal Deformations of some Quot Schemes, II (with Indranil Biswas and Ronnie Sebastian), Revista Matemática Complutense, 2024, arxiv: 2409.06434. 

4. Picard Groups of Some Quot Schemes (with Ronnie Sebastian) International Mathematics Research Notices, June 2024, Vol. 2024, Issue 11, pg. 9194-9217, 2024, arXiv: 2210.171.79. 

5. Infinitesimal Deformations of some Quot Schemes (with Indranil Biswas and Ronnie Sebastian) International Mathematics Research Notices, May 2024, Vol. 2024, Issue 9, pg. 8067–8100, arXiv: 2203.13150. 

6. Irreducibility of some nested Hilbert schemes (with Parvez Rasul and Ronnie Sebastian), Proceedings of the American Mathematical Society, Vol. 152, pg. 1857-1870, 2024, arXiv: 2209.09003.

7. Seshadri constants on some Quot Schemes (with Krishna Hanumanthu and Ronnie Sebastian), Forum Mathematicum, 2021, arXiv:2104.13111.

8. Nef cone of some Quot schemes on a smooth projective curve (with Ronnie Sebastian), Comptes Rendus Mathématique, 2021 , Vol. 359, pg. 999-1022, arXiv:2006.16666. 

9. Fundamental Group Schemes of some Quot Schemes on a smooth projective curve (with Ronnie Sebastian), Journal of Algebra, November 2020,  Vol. 562, pg. 290-305,  arXiv:1909.10775v2.

10. Automorphisms of relative Quot schemes, Proc. Math Sci,  November 2019, Vol. 129. (click  arXiv:1812.10446 for a revised version of this paper.)

11. Stability of sheaves over Quot schemes, Bulletin des Sciences Mathématiques, November 2018,  pg. 66-85.

12. Direct image of vector bundles and connections (with Indranil Biswas and Michael Lennox Wong),  Beitr Algebra Geom, 2019, Vol. 60, pg. 137-156.