My research interest lie in Commutative Algebra and Algebraic Geometry related areas. We study about various homological properties namely depth, Cohen-Macaulayness, Castelnuovo-Mumford regularity, Gorensteinness and relation type of blowup algebras, namely, the Rees algebra, the associated graded ring and a special fiber known as fiber cone. The notion blowup algebras refers to certain algebraic objects associated with the process of blowing up a variety along a subvariety, introduced by Hironaka. Also we study about the Hilbert coefficients of Schubert varieties in Grassmannians. Recently, we are studying about the syzygies of Koszul algebras and their homological properties.
Koszul Algebras ISIRD, SRIC
Syzygies , Deformations of Koszul Algebras and Regularity of Modules Over Them NATIONAL BOARD OF HIGHER MATHEMATICS(NBHM)
Area of Research: Commutative Algebra