Welcome to my homepage!

**Research Interest** Commutative Algebra

**Courses at IIT Hyderabad:**

**B. Tech Courses **

Spring 2020 ‒ Vector Calculus (MA 1130),

Spring 2019 ‒ Differential Equations (MA 1150).

**M. Sc Courses**

Spring 2020 ‒ Complex Analysis (MA 4060),

Autumn 2019 ‒ Combinatorics and Graph Theory (MA 5010).

**PhD Reading Courses**

Spring 2020 ‒ Homological Algebra II (MA 4150),

Spring 2020 ‒ Combinatorial Commutative Algebra (MA 6126),

Spring 2020 ‒ Computational Algebra on Polynomials and Ideals (MA 4133),

Autumn 2019 ‒ Commutative Algebra (MA 6116).

#### Education

*PhD ‒ Mathematics and Applications * ‒ University of Genova, (May 2014).

*Thesis*: Koszul property of diagonal subalgebras and complete intersections of symmetric polynomials, (Advisor: Prof. Aldo Conca).

*M. Sc ‒ Mathematics* ‒ University of Hyderabad, (June 2008).

#### Publications

*Diagonal Subalgebras of Residual Intersections ‒ *(with H. Ananthnarayan, and Vivek Mukundan), *Proc. Amer. Math. Soc.,* (148) 2020, no. 1, 41-52. Article electronically published on July 9, 2019. arXiv:1901.05027.

*A survey on Koszul algebras and Koszul duality* ‒ Indian Statistical Institute Series, *Springer Nature Singapore.* ISSN 2523-3114, pp xxi+ 322, 2020, (Proceedings of Leavitt Path Algebras and Classical K-Theory).

*Syzygies, Betti numbers, and Regularity of cover ideals of certain multipartite graphs* ‒ (with A.V. Jayanthan), *Mathematics,* 7 (9), 2019, 1-18, 869. arXiv:1709.05055.

*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.

*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.

*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.

** Preprint *** On certain class of Cohen-Macaulay normal domains *

#### Research experiences and employments:

*IIT Bombay* ‒ Postdoctoral fellow (November 02, 2016 ‒ January 18, 2019).

*ISI Bangalore* ‒ Visiting Scientist (June 20, 2016 ‒ Sep 20, 2016).

*IMSc Chennai* ‒ Postdoctoral fellow (April 21, 2014 ‒ June 14, 2016).