My primary research is in the area of Combinatorial Commutative Algebra. My research topics include symbolic powers, Castelnuovo-Mumford regularity, edge ideals, cover ideals, determinantal rings and modules, local cohomology, etc.
9. Square-free powers of Cohen-Macaulay simplicial forests (with Amit Roy and Kamalesh Saha), Proceedings of the American Mathematical Society (to appear), 2025.
8. Ratliff property of edge ideals of weighted oriented graphs (with Arindam Banerjee and Pritam Roy), Electronic Journal of Combinatorics, Volume 32, Issue 4, 2025. Journal Link
7. On the path ideals of chordal graphs (with Amit Roy and Kamalesh Saha), Journal of Algebraic Combinatorics, 62, 27, 2025. Journal Link
6. Ordinary and symbolic powers of edge ideals of weighted oriented graphs (with Arindam Banerjee and S. Selvaraja), Bulletin of the Malaysian Mathematical Sciences Society, Volume 48, Number 3, Paper No. 85, 2025. Journal Link
5. Integral closure of powers of edge ideals of weighted oriented graphs (with Arindam Banerjee and Sirajul Haque), Acta Mathematica Vietnamica, Volume 50, Number 1, Pages 33-49, 2025. Journal Link
4. Equality of ordinary and symbolic powers of some classes of monomial ideals, Graphs and Combinatorics 40, 12 (2024). Journal Link
3. Equality of ordinary and symbolic powers of edge ideals of weighted oriented graphs (with Arindam Banerjee, Bidwan Chakraborty, Mousumi Mandal and S. Selvaraja), Communications in Algebra, Volume 51, Number 4, Pages 1575-1580, 2023. Journal Link
2. Powers of edge ideals of weighted oriented graphs with linear resolutions (with Arindam Banerjee and S. Selvaraja), Journal of Algebra and its Applications, 2022. Journal Link
1. Regularity of powers of squarefree monomial ideals (with Arindam Banerjee, Bidwan Chakraborty, Mousumi Mandal and S. Selvaraja), Journal of Pure and Applied Algebra, Volume 226, Issue 2, February 2022, 106807. Journal Link
I heavily use computer algebra systems such as Macaulay2 and Singular to test and verify my computations. However, these systems are not well-suited for handling computations involving large volumes of information. To address this limitation, I often use Python for tasks related to combinatorics and graph theory.
2. On Obtaining New MUBs by Finding Points on Complete Intersection Varieties over R (with Arindam Banerjee, Ajeet Kumar, Rakesh Kumar and Subhamoy Maitra). International Journal of Theoretical Physics 64, 227, 2025. Journal Link
1. Automated Image Analysis of Ultrasound Image Using Machine Learning Models: Detection of Double Contours (with Rudra Prosad Goswami, Arindam Banerjee and Aayush Jain). Journal of Clinical Rheumatology and Immunology, 24 (supp01): 106–107, 2024. Journal Link