Research 

I am pursuing my Ph.D. in Mathematics under the supervision of DR. Mousumi Mandal  in IIT Kharagpur. My broad area of research is Commutative Algebra.

Research Statement: Castelnuovo-Mumford regularity is an essential invariant in algebraic  geometry and commutative algebra. It is a kind of universal bound for important invariants of graded algebras such as the maximum degree of the syzygies and the maximum non-vanishing degree of the local cohomology modules. The Castelnuovo-Mumford regularity of an R−module M helps us to compute the Hilbert polynomial of M. Many researchers have tried to find an upper bound for the regularity in terms of simpler invariants, but the Castelnuovo-Mumford regularity cannot be bounded in terms of dimension and multiplicity. In my Ph.d. I shall try to find a bound (preferably linear) using higher Hilbert coefficients for the Castelnuovo-Mumford regularity (also known as regularity) in a local Cohen-Macaulay ring R.

The members of my Doctoral Scrutiny Committee (DSC) are:

1. Chairman - Prof. Somnath Bhattacharyya

Head of the Department, Department of Mathematics, IIT Kharagpur.

2. Supervisor - DR. Mousumi Mandal 

Associate Professor, Department of Mathematics, IIT Kharagpur.

3. Member - DR. Ramakrishna Nanduri

  Associate Professor, Department of Mathematics, IIT Kharagpur.             

4. Member - DR. Husney Parvez Sarwar  

  Assistant Professor, Department of Mathematics, IIT Kharagpur.

5. Member - DR. Debashree Guha Adhya 

Assistant Professor, School of Medical Science and Technology, IIT Kharagpur.