Mathematics department as a postdoctoral fellow.

- Research area: Commutative Algebra
- Teaching Assistant for the B.Tech Undergraduate courses: Autumn semester 2017: MA-105 Calculus.
- Publications
*Note on vanishing power sums of roots of unity*‒*(with K. Senthil Kumar)*The Mathematics Student (84) 2015, no. 3-4, 69-73.*Koszul property of diagonal subalgebras*‒ Journal of Commutative Algebra (6) 2014, no. 3, 385-406.*Regular sequences of power sums and complete symmetric polynomials*‒*(with Ivan Martino)*Le Matematiche (Catania) (67) 2012, no. 1, 103-117.*An algebraic proof for the identities for degree of syzygies in numerical semigroups*‒*(with Ivan Martino)*Le Matematiche (Catania) (67) 2012, no. 1, 81-89.*Quillen-Suslin theory for a structure theorem for the Elementary Symplectic Group*‒*(with Ravi A. Rao)*Ramanujan Math. Soc. Lect. Notes Ser. (17) 2013, 101-116.*Prime ideals and regular sequences of symmetric polynomials*‒ arXiv:1309.1098 [math.AC]- Curriculam Vitae

In particular, graded free resolution and Castelnuovo-Mumford regularity of graded module's. Here, module's correcpond to geometrical objects (Blow-up algebras, Residual intersections),

combinatorial objects (Edge and Cover ideal of Graphs) and study of their homological aspects such as free resolutions, regularity, and Koszul algebras etc.

Spring Semester 2016: MA-106 Linear Algebra and MA-108 Differential Equations.

Summer school 2016: Course instructor in the "Young Talent Nurture" (YTN) programme at IIST, Trivandrum, on Complex Analysis.

Room B2, Department of Mathematics,

Indian Institute of Technology Bombay,

Powai, Mumbai-400076, India

Office no. +91 22 2576 7452