Arvind Kumar
PostDoc Fellow, IIT Delhi
Bio
I am a PostDoc Fellow at IIT Delhi. My current research area is Combinatorial Commutative algebra.
Research Experience
Work History
Institute PostDoc Fellow
Mar 2023 - July 2023
Chennai Mathematical Institute (CMI), India
National PostDoc Fellow
Mar 2021 - Feb 2023
Chennai Mathematical Institute (CMI), India
Institute PostDoc Fellow
Sep 2020- Feb 2021
Institute Pre-PostDoc Fellow
Mar 2020 - Aug 2020
Academics
Learning and Living
Ph.D. Mathematics
Jul 2016-May 2020
Thesis title: Homological properties of binomial edge ideals
Thesis advisor: Prof. A. V. Jayanthan
M.Sc. Mathematics
Jul 2014-May 2016
B.Sc. Hons. Mathematics
Jul 2011-May 2014
"Believe you can and you're halfway there"
Theodore Roosevelt
PUBLICATIONS
Communications in Algebra, 47 (9), 3830-3841, 2019.
Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs
A. V. Jayanthan and Arvind Kumar
Communications in Algebra, 47 (11), 4797-4805, 2019.
Regularity bound of generalized binomial edge ideal of graphs
Arvind Kumar
Journal of Algebra, 546, 357-369, 2020.
Depth and extremal Betti number of binomial edge ideals
Arvind Kumar and Rajib Sarkar
Mathematische Nachrichten, 293 (9), 1746-1761, 2020.
Binomial edge ideals and bounds for their regularity
Arvind Kumar
Journal of Algebraic Combinatorics, 2020.
Certain algebraic invariants of edge ideals of join of graphs
Arvind Kumar, Rajiv Kumar and Rajib Sarkar
Journal of Algebra and its Applications, 2020.
Binomial edge ideals of generalized block graphs
Arvind Kumar
International Journal of Algebra and Computation, 2020.
Regularity of powers of quadratic sequences with applications to binomial ideals
A. V. Jayanthan, Arvind Kumar and Rajib Sarkar
Journal of Algebra, 564, 98-118, 2020.