**Education****Employment****Research Interests:***Homological and Combinatorial Commutative Algebra and its computational aspects***Teaching activities:**Tutorial classes at IIT Bombay coursewise and with timeline below.**Preprints****Publications****Curriculam Vitae****Contact**Office Email- neerajk@math.iitb.ac.in or Gmail id- neeraj.unix@gmail.com

Hello and welcome to my homepage!

*Ph.D. in Mathematics and Applications * ‒ University of Genova, Italy, May 2014 (Advisor: Prof. Aldo Conca).

*Thesis title: Koszul property of diagonal subalgebras and complete intersections of symmetric polynomials.*

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

*IIT Bombay* ‒ Postdoctoral fellow (November 02, 2016 ‒ Present).

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

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

*Autumn 2018* ‒ Basic Algebra (MA 419).

*Spring 2018* ‒ Linear Algebra (MA 106) and Differential Equations (MA 108).

*Autumn 2017* ‒ Calculus (MA 105).

*Spring 2017* ‒ Linear Algebra (MA 106) and Differential Equations (MA 108).

*Instructor for the Regional Mathematics Olympiad training camp at Cochin and Kottayam, in Kerala, October 2016.*

*Diagonal Subalgebras of Residual Intersections* (with H. Ananthnarayan, and Vivek Mukundan).

*Resolution and regularity of cover ideals of certain multipartite graphs* (with A.V. Jayanthan).

*Koszul algebra and Koszul duality.*

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

*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.

Room B2, Department of Mathematics.

Indian Institute of Technology Bombay.

Powai, Mumbai-400076, India.

Mobile: +91 9884134272.