Publications

Publications

1. Graded components of local cohomology modules II, with Tony J. Puthenpurakal, to appear in the Vietnam Journal of Mathematics, arXiv:1708.01396v2.

2. On derived functors of graded local cohomology modules-II, with Tony J. Puthenpurakal and Jyoti Singh, Illinois Journal of Mathematics, Vol. 64 (2020), No. 4, 595-612.

3. Graded components of local cohomology modules of invariant rings, with Tony J. Puthenpurakal, Communications in Algebra, Vol. 48 (2020), No. 2, 803–814.

4. Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals, with Kriti Goel and J. K. Verma, Acta Mathematica Vietnamica, Vol. 44 (2019), No. 3, 671-689.

Preprints

1. Asymptotic growth of symbolic multi-Rees algebras, with Suprajo Das, arXiv:2112.14587.

2. Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers, with Kriti Goel, Vivek Mukundan, and J. K. Verma, arXiv:1902.07384. Package: MixedMultiplicity.

3. On the defining equations of Rees algebra of a height two perfect ideal using the theory of D-modules, arXiv:1809.08917.

Papers in Preparation

1. Graded components of local cohomology modules supported on generalized monomial ideals, with Tony J. Puthenpurakal.

2. Components of multigraded local cohomology modules, with Rajsekhar Bhattacharyya, Tony J. Puthenpurakal and Jyoti Singh.