Publications:
18. On pseudo-effective cones of projective bundles and volume function (with Snehajit Misra), to appear in International Journal of Mathematics (2024)
17. A remark on the relative Liealgebroid connections and their moduli spaces (with S. Manikandan), to appear in Journal of Algebra and its applications, DOI: 10.1142/S0219498826500349 (2024)
16. A criterion for Liealgebroid connections on a compact Riemann surface (with Indranil Biswas and Pradeep Kumar), Geometriae Dedicata 218, no. 4, Paper No. 87, 13 pp. (2024)
15. Line bundles on the moduli space of Lie algebroid connections over a curve (with Indranil Biswas), Bulletin des Sciences Mathe ́matiques, Vol.193, 103421 (2024)
14. A remark on the moduli space of Lie algebroid λ-connections, to appear in communication in algebra (with Parul Keshari), Communications in Algebra 52, no. 6, 2282–2297 (2024)
13. Relative connections on principal bundles and relative equivariant structures (with Mainak Poddar) Differential Geometry and its applications (2023)
12. On the relative logarithmic connections and relative residue formula (with Snehajit Mishra) Communications in Algebra (2022)
11. A note on the moduli space of holomorphic and logarithmic connections over a compact Riemann surface Annals of Global Analysis and Geometry (2022)
10. Line bundles on the moduli space of parabolic connections over a compact Riemann surface, Advances in Mathematics (2022)
9. On the relative opers in dimension one (with Abhitosh Upadhyay), Forum Mathematicum. (2022)
8. Chen-Ruan Cohomology and moduli spaces of parabolic bundles over a Riemann surface (with I. Biswas and Pradeep Das), Proceedings Mathematical Sciences, Indian Academy of Sciences. (2022)
7. On a conjecture of Kelly on (1,3)-representation of Sylvester-Gallai designs (with C.P. Anil Kumar), Proceedings Mathematical Sciences, Indian Academy of Sciences . (2021)
6. A criterion for the existence of logarithmic connections on curves over a perfect field (with S. Manikandan), Indian Journal of Pure and Applied Math (2021)
5. On the moduli space of λ-connections , Proceedings of the American Mathematical Society (2021)
4. Differential operators on Hitchin variety , Journal of Algebra (2021)
3. Moduli space of logarithmic connections singular over a finite subset of a compact Riemann surface , Mathematical Research Letters (2021)
2. Moduli space of rank one logarithmic connections over a compact Riemann surface , C. R. Math. Acad. Sci. Paris (2020)
On the relative connections, (with I. Biswas) Communications in Algebra (2020)
Preprints:
1.On the moduli space of logarithmic λ-connections over a compact Riemann surface .
2. Motivic invariance for principal $G$-bundles with $\lambda$-connections (with Sumit Roy)
3. Parabolic vector bundles and Lie algebroid connections (with David Alfaya, Indranil Biswas, Pradip Kumar)
4. A criterion for holomorphic Lie algebroid connections (with David Alfaya, Indranil Biswas, Pradip Kumar)
On going projects:
Motives of the moduli spaces of principal G-bundles with connections and other moduli spaces
Study of holomorphic Lie algebroid connecions and its moduli spaces in positive characteristics
Study of Lie algebroid opers over higher dimensional varieties
Parabolic aspect of Oper stratum conjectures due to Simpson