My mathematical research interest lies broadly in Algebraic Geometry. I am particularly interested in Positivity problems in Algebraic Geometry, Moduli problems of vector bundles on projective varieties.
Find my papers on arXiv, Google Scholar, MathScinet .
Publications :
10. Slope Semistability and Positive cones of Grassmann Bundles, (with Nabanita Ray ), to appear in Journal of Algebra and Its Applications. arXiv:2205.11289 [math.AG]
9. Some results on Seshadri constants of vector bundles, (with Indranil Biswas, Krishna Hanumanthu), Forum Mathematicum, 36(3), pp. 641-653 (2024). arXiv:2303.15808 [math.AG]
8. Seshadri constants of parabolic vector bundles, (with Indranil Biswas, Krishna Hanumanthu, Nabanita Ray) Documenta Mathematica, Volume 28, No. 5, pp. 1163-1190 (2023). arXiv:2203.04533[math.AG]
7. On relative logarithmic connection and relative residue formula ,(with Anoop Singh ), Communications in Algebra, Vol 51, Issue 3, 1217-1228 (2023). arXiv:2108.06321[math.AG]
6. Nef cones of Projective bundles over surfaces and Seshadri constants, ( with Nabanita Ray ), Osaka Journal of Mathematics, 59 (3), 639-651 (2022). arXiv:1904.02335[math.AG]
5. Pseudo-effective cones of projective bundles and weak Zariski decomposition , European Journal of Mathematics, 7, 1438-1457 (2021). arXiv:2005.08901[math.AG]
4. On ampleness of vector bundles, (with Nabanita Ray), Comptes Rendus Mathématiques, Académie des Sciences. Paris. Tome 359 (2021) no 6, pp 763-772.
3. Nef cone and Seshadri constants of product of projective bundles over curves, ( with Rupam Karmakar), Journal of the Ramanujan Mathematical Society, 35(4), 317-325 (2020). arXiv:1812.03957 [math.AG]
2. Stable Higgs Bundle on Ruled Surfaces, Indian Journal of Pure and Applied Mathematics, 51, 735-747 (2020). arXiv:1805.04076 [math.AG]
1. Nef and Pseudoeffective cones of product of projective bundles over a curve, ( with Nabanita Ray and Rupam Karmakar ), Bulletin des Sciences Mathématiques, 151, 1-12 (2019).
Preprints :
11. On Serrano's conjecture on projective bundles, submitted. arXiv:2405.05582[math.AG]
12. On Stability of Syzygy bundles , (with Nabanita Ray), submitted. arXiv:2405.17006 [math.AG]