My research lies in Combinatorial Commutative Algebra, focusing on algebraic and homological properties of ideals arising from graphs and simplicial complexes.
Research Interests: Symbolic powers of ideals, Castelnuovo-Mumford regularity, Edge ideals and cover ideals, Determinantal rings and ideals.
12. Support-2 monomial ideals that are Simis
with Paromita Bordoloi and Rajiv Kumar
Journal of Algebraic Combinatorics (to appear), 2026.
11. Stanley-Reisner ideals of higher independence complexes of chordal graphs
with Amit Roy and Kamalesh Saha
International Journal of Algebra and Computation, 2025.
10. Edge ideals with linear quotients and without homological linear quotients
with Trung Chau and Aryaman Maithani
Mediterranean Journal of Mathematics, 23:31, 2026.
9. Square-free powers of Cohen-Macaulay simplicial forests
with Amit Roy and Kamalesh Saha
Proceedings of the American Mathematical Society, 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.
7. On the path ideals of chordal graphs
with Amit Roy and Kamalesh Saha
Journal of Algebraic Combinatorics, 62, 27, 2025.
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.
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.
4. Equality of ordinary and symbolic powers of some classes of monomial ideals
Graphs and Combinatorics 40, 12 (2024).
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.
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.
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.
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.
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.