Publications
On weak bounded negativity conjecture, (with Snehajit Misra ), accepeted for publication in Communications in Algebra (2026).
On Stability of Syzygy bundles , (with Snehajit Misra), Bulletin des Sciences Mathématiques; Bull. Sci. math. 208 (2026) 103783 arXiv:2405.17006 [math.AG]
Positivity and base loci of vector bundles revisited, (with Mihai Fulger) Tohoku Mathematical Journal; Vol. 77, No. 3; Tohoku Math. J. 77 (2025), 299-317. arXiv:2303.13201.
Seshadri constants of parabolic vector bundles, (with Indranil Biswas, Krishna Hanumanthu, Snehajit Misra) Documenta Mathematica. Volume 28, No. 5, pp. 1163-1190 (2023) DOI 10.4171/DM/917.
Slope Semistability and Positive cones of Grassmann Bundles, (with Snehajit Misra ), Journal of Algebra and its applications. Vol. 23, No. 10, 2450157 (2024) https://doi.org/10.1142/S0219498824501573 .
Nef cones of Projective bundles over surfaces and Seshadri constants, ( with Snehajit Misra ) 59 (3), 639-651 (2022). Osaka Journal of Mathematics (2021).
On ampleness of vector bundles , ( with Snehajit Misra ), Comptes Rendus Mathématique. Académie des Sciences. Paris. DOI: https://doi.org/10.5802/crmath.222 .
Weyl and Zariski chambers on projective surfaces, ( with Krishna Hanumanthu ), Forum Mathematicum, DOI: https://doi.org/10.1515/forum-2019-0290 . arXiv:1910.05038 .
Examples of blown up varieties having projective bundle structures, Proceedings-Mathematical Sciences, Published by the Indian Academy of Sciences, DOI: https: // doi. org/ 10. 1007/ s12044-019-0532-6.
Geometry of P^2 blown up at seven points, Mathematica Slovaca, DOI: https://doi.org/10.1515/ms-2017-0308
Nef and pseudoeffective cones of product of projective bundles over a curve , ( with Rupam Karmakar and Snehajit Misra ), Bulletin des Sciences Mathématiques, DOI: https://doi.org/10.1016/j.bulsci.2018.12.002 .
Preprints
Positive cones of b-divisor classes (with Snehajit Misra).
Positivity of Higgs vector bundles (with Indranil Biswas, Snehajit Misra) submitted.
Seshadri constants for Higgs vector bundles (with Krishna Hanumanthu, Snehajit Misra) submitted.
Stability and semi-stability of (2,2)-type surfaces (with A. J. Parameswaran) https://arxiv.org/abs/2009.06232
Variation of GIT quotients for effective divisor and pull back of two hyperplanes.