Belur Math, Howrah, West Bengal, India

Email: 123.arindam@gmail.com

I'm currently an Assistant Professor and Inspire Faculty at Department of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute at India.

I was Golomb Visiting Assistant Professor at Department of Mathematics, Purdue University.

I got Ph.D from University of Virginia in 2015. My advisor was Prof. Craig Huneke.

I did my M.Math and B.Stat degrees from Indian Statistical Institute.

Research Statement Teaching Statement

Research Interest:

I’m interested in three closely related areas of Commutative Algebra:

1. Combinatorial Commutative Algebra

2. Homological invariants of finitely generated modules over commutative noetherian rings

3. Rings with nice homological properties, e.g. regular local ring, cohen-macaulay ring etc.

Reaearch Articles:

1. The Regularity of Powers of Edge Ideals. Published in Journal Of Algebraic Combinatorics.

2. Powers of Edge Ideals of Regularity Three Bipartite Graphs. Joint With Ali Alilooee. Published in Journal of Commutative Algebra.

3. Regularity of Path Ideals of Gap Free Graphs. Published in Journal of Pure and Applied Algebra.

4. Global Properties of Lyubeznik Numebrs and Polarization. Joint with Luis Núñez- Betancourt and Kohji Yanagawa. Published in Journal of Pure and Applied Algebra.

5. Graph Connectivity and Binomial Edge Ideals. Núñez- Betancourt . Published in Proceedings of AMS.

6. On the Homological Invariants of the powers of bipartite edge ideals. Joint with Vivek Mukundan. (submitted).

7. Verifiability of Stillman’s Question. Joint with Guilio Caviglia. (In Preparation).

8. Even-connection and powers of edge ideals with linear resolutions. Joint with Selvi Bayerslan and Huy Tai Ha (In Preparation).

9. Powers of path Ideals of Gap Free Graphs. (In Preparation).

10. Powers of Binomial Edge Ideals of Trees. Joint With Vivek Mukundan. (Work In Progress).

Survey Article:

1. Regualrity of Edge Ideals and Their Powers. Joint with Selvi Bayerlsan and Huy Tai Ha. (In Preparation).