Research
Publications
Positivity and base loci of vector bundles revisited, (with Mihai Fulger) to appear in Tohoku Mathematical Journal. 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. 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 .
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
On Stability of Syzygy bundles , (with Snehajit Misra), submitted to journal. arXiv:2405.17006 [math.AG]
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.