Publications

Published/Accepted Articles:

The papers listed below are arranged in the order of my key publications, with my most significant

works appearing first.

1. The v-number and Castelnuovo-Mumford regularity of cover ideals of graphs, International Mathematics Research Notices (IMRN), Volume 2024, Issue 11, June 2024, Pages 9010 - 9019. 

2. The v-number of monomial ideals (with Indranath Sengupta), Journal of Algebraic Combinatorics, 56 (2022), no. 3, 903 - 927.

3. Cohen-Macaulay property of binomial edge ideals with girth of graphs (with Indranath Sengupta), Journal of Algebra, 658 (2024), 533 - 555.

4. Square-free powers of Cohen-Macaulay simplicial forests (Kanoy Kumar Das and Amit Roy), Proceedings of the American Mathematical Society, 154 (2026), no. 2, 549 - 565.

5. The slope of the v-function and the Waldschmidt constant (with Manohar Kumar and Ramakrishna Nanduri), Journal of Pure and Applied Algebra, 229 (2025), no. 2, 13 pp.

6. On the path ideals of chordal graphs (Kanoy Kumar Das and Amit Roy), Journal of Algebraic Combinatorics, 62 (2025), no. 2, 31 pp.

7. Componentwise linearity of edge ideals of weighted oriented graphs (with Manohar Kumar and Ramakrishna Nanduri), to appear in Journal of Algebraic Combinatorics, 61 (2025), no. 3, 19 pp.

8. On a regularity-conjecture of generalized binomial edge ideals (with Anuvinda J and Ranjana Mehta), Collectanea Mathematica, 76 (2025), no. 3, 685 - 693.

9. Cohen-Macaulay Weighted Oriented Chordal and Simplicial Graphs, Arch. Math. (Basel), 122 (2024), 591 - 597.

10. On the depth of generalized binomial edge ideals (with Anuvinda J and Ranjana Mehta), Mediterranean Journal of Mathematics, 21 (2024), no. 5, 16 pp.

11. On the v-number of Gorenstein ideals and Frobenius powers (with Nirmal Kotal), Bull. Malays. Math. Sci. Soc.,  47 (2024), no. 6, 17 pp.

12. Stanley–Reisner ideals of higher independence complexes of chordal graphs (Kanoy Kumar Das and Amit Roy), Internat. J. Algebra Comput. (2026)

13. On the v-number of binomial edge ideals of some classes of graphs (with Deblina Dey and A. V. Jayanthan), Internat. J. Algebra Comput., 35 (2025), no. 1, 119 - 143.

14. The v-Number of Binomial Edge Ideals (with S. B. Ambhore and Indranath Sengupta), Acta Math. Vietnam., 49 (2024), no. 4, 611 - 628.

15. Cohen-Macaulay Weighted Oriented Edge Ideals and its Alexander Dual (with Indranath Sengupta), J. Algebra Appl., 24 (2025), no. 12, 22 pp.

16. Cohen-Macaulay Binomial edge ideals in terms of blocks with whiskers (with Indranath Sengupta), J. Algebra Appl., 24 (2025), no. 12, 29 pp.

17. Closed Cohen-Macaulay completion of binomial edge ideals (with Indranath Sengupta), to appear in Algebra Colloquium, 32 (2025), no. 3, 443 - 460.

Submitted Articles:

1. Lattice points arising from regularity and v-number of graphs: Whisker and Cameron-Walker (with Prativa Biswas and Mousumi Mandal), (2026), arXiv.    

2. Generalized binomial edge ideals of whisker graphs via an extension of generalized corona products (with Anuvinda J and Ranjana Mehta), (2026), arXiv.

3. Equality of ordinary and symbolic powers and the Conforti-Cornuéjols conjecture for $(n-2)$-uniform clutters (with Amit Roy), (2025), arXiv.

4. Admissible set and squarefree-power-like function with applications to squarefree symbolic powers (with Trung Chau, Kanoy Kumar das and Amit Roy), (2025), arxiv.

5. Comparing the v-number and h-polynomials of edge ideals (with Adam Van Tuyl), (2025), arxiv.

6. On the homological shifts of cover ideals of Cohen-Macaulay graphs (with Amit Roy), (2025), arXiv.

7. Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers (with Trung Chau, Kanoy Kumar das and Amit Roy), (2025), arxiv.

8. Square-free powers of Cohen-Macaulay forests, cycles, and whiskered cycles (with Kanoy Kumar Das and Amit Roy), (2024), arXiv.

9. Regularity of two classes of Cohen-Macaulay binomial edge ideals (with OM Prakash Bhardwaj) (2024), arXiv.

Ongoing Projects:

1. The classification of Cohen-Macaulay Binomial Edge Ideals.

2. On the Homological shift ideals.

3. Behaviour of square-free symbolic and ordinary powers.

4. Minh's conjecture