My research interest is broadly in the area of combinatorial commutative algebra. Specifically, I study the algebraic and combinatorial properties of monomial ideals induced by graphs and permutations. I am also interested to learn the geometric aspects of combinatorial commutative algebra.
I have also worked on some conjugacy problems in Chevalley groups.
(with Kamalesh Saha) On the homological shifts of cover ideals of Cohen-Macaulay graphs (submitted) (arXiv: 2506.01810)
(with Trung Chau, Kanoy Kumar Das and Kamalesh Saha) Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers (submitted) (arXiv:2504.11941)
(with Kanoy Kumar Das and Kamalesh Saha) Square-free powers of Cohen-Macaulay simplicial forests (submitted) (arXiv:2502.18396)
(with Kanoy Kumar Das and Kamalesh Saha) Connected ideals of chordal graphs (submitted) (arXiv:2501.01112).
(with Kanoy Kumar Das and Kamalesh Saha) Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles (submitted) (arXiv:2409.06021).
(with Kanoy Kumar Das and Kamalesh Saha) On the path ideals of chordal graphs (submitted) (arXiv:2405.15897).
Standard monomials of 1-skeleton ideals of multigraphs (submitted) (arXiv:2010.14474).
(with Sourav Kanti Patra) Graded Betti numbers of a hyperedge ideal associated to join of graphs, Bull. Malays. Math. Sci. Soc. 48:116 (2025), (arXiv:2311.07308).
(with Shiny Chakraborty, Ajay P. Joseph and Anurag Singh) Castelnuovo-Mumford regularity of the closed neighborhood ideal of a graph, Journal of Algebraic Combinatorics. 61 (2025), no. 1, (arXiv:2401.04683).
(with Priyavrat Deshpande, Anurag Singh and Adam Van Tuyl) Fröberg's theorem, vertex splittability and higher independence complexes, J. Comm. Alg. 16 (2024), no. 4, (arXiv:2311.02430).
(with Fred Abdelmalek, Priyavrat Deshpande, Shuchita Goyal and Anurag Singh) Chordal graphs, higher independence and vertex decomposable complexes, Internat. J. Algebra Comput. 33 (2023), no. 3, 481-498. (arXiv:2106.10863).
(with Sushil Bhunia and Pinka Dey) Twisted conjugacy classes in twisted Chevalley groups, J. Algebra Appl. 21 (2022), no. 3, 17 pp. (arXiv:2002.01446).
(with Chanchal Kumar and Gargi Lather) Standard monomials of 1-skeleton ideals of graphs and generalized signless Laplacians, Linear Algebra Appl. 637 (2022), 24-48. (arXiv:2006.02347).
(with Sonica Anand) Graded Betti numbers of some families of circulant graphs, Rocky Mountain J. Math. 51 (2021), no. 6, 1919-1940. (arXiv:2007.02401).
(with Chanchal Kumar) Integer sequences and monomial ideals, Proc. Indian Acad. Sci. Math. Sci. 131 (2021), no. 2, Paper No. 33, 20 pp. (arXiv:2003.10098).