My mathematical research interest lies broadly in Algebraic Geometry. I am particularly interested in Positivity problems in Algebraic Geometry and moduli problems of vector bundles on projective varieties.
One can see my papers on Research Gate
Correspondence between Projective bundles over Projective 2-space and rational Hypersurfaces in Projective 4-space, Bulletin des Sciences Mathematiques Vol. 195 (2024)
Isomorphism of Multiprojective Bundles and Projective Towers (joint with Ashima Bansal, Supravat Sarkar)(Accepted in Kyoto Journal of Mathematics) Arxiv Link
Preprints :
Extremal Contractions of Projective Bundles (joint with Ashima Bansal, Supravat Sarkar)(Submitted to the journal ) Arxiv Link
The singularity of cubic hypersurfaces and hyperplane sections of the projectivized tangent bundle of projective space (joint with Ashima Bansal, Supravat Sarkar)(submitted to the journal)
In Preparation:
Isomorphisms and automorphisms of multiprojective bundles and symmetric powers of projective bundles (joint with Ashima Bansal, Supravat Sarkar). Anticipated submission by August. 2025.
Symmetric power of higher dimensional varieties and automorphisms of Hilbert schemes of points(joint with Ashima Bansal, Supravat Sarkar). Anticipated submission by August. 2025.
(with Ashima Bansal) Seshadri Constant over Blow-up of Generalized Flag Variety along a Schubert Variety of Codimension greater than or equal to 2.