Research

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Research Interest

My research interest lies in combinatorial commutative algebra. I am interested in applying combinatorial tools to different problems in commutative algebra. I wrote my Ph.D. thesis on the homological properties of binomial edge ideals under the supervision of Prof. A. V. Jayanthan.

Publications

Subadditivity, strand connectivity and multigraded Betti numbers of monomial ideals (with A. V. Jayanthan) J. Commut. Algebra, 15 (2023), no. 4, 519-541 arXiv Journal
Properties of analogues of Frobenius powers of ideals (with S. Chanda) Indian J. Pure Appl. Math., 54 (2023), no. 2, 524–531 arXiv Journal
Upper bounds for the regularity of symbolic powers of certain classes of edge ideals (with S. Selvaraja) J. Algebra Appl., 22 (2023), no. 1, 2350016 arXiv Journal
Binomial expansion for saturated and symbolic powers of sums of ideals (H. T. Ha, A.V. Jayanthan and H. D. Nguyen) J. Algebra, 620 (2023), 690–710 arXiv Journal
On the resurgence and asymptotic resurgence of homogeneous ideals (with A. V. Jayanthan and V. Mukundan) Math. Z., 302 (2022), no. 4, 2407–2434 arXiv Journal
Rees algebra and special fiber ring of binomial edge ideals of closed graphs, Illinois J. Math., 66 (2022), no. 1, 79–90 arXiv Journal
Symbolic powers of cover ideals of certain graphs (with R. Kumar, R. Sarkar and S. Selvaraja) Acta Math. Vietnam., 46 (2021), no. 3, 599–611 arXiv Journal
Binomial edge ideals and bounds for their regularity, J. Algebraic Combin., 53 (2021), 729–742 arXiv Journal
Regularity of parity binomial edge ideals, Proc. Amer. Math. Soc., 149 (2021), 2727–2737 arXiv Journal
Certain algebraic invariants of edge ideals of join of graphs (with R. Kumar and R. Sarkar) J. Algebra Appl., 20 (2021), no. 6, 2150099 arXiv Journal
Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs, European J. Combin., 93 (2021), 103274 arXiv Journal
Almost complete intersection binomial edge ideals and their Rees algebras (with A. V. Jayanthan and R. Sarkar) J. Pure Appl. Algebra, 225 (2021), no. 6, 106628 arXiv Journal
Binomial edge ideals of generalized block graphs, Internat. J. Algebra Comput., 30 (2020), no. 8, 1537–1554 arXiv Journal
Depth and extremal Betti numbers of binomial edge ideals (with R. Sarkar) Math. Nachr., 293 (2020), no. 9, 1746–1761 arXiv Journal
Regularity of powers of quadratic sequences with applications to binomial ideals (with A. V. Jayanthan and R. Sarkar∗) J. Algebra, 564 (2020), 98–118 arXiv Journal
Regularity bound of generalized binomial edge ideal of graphs, J. Algebra, 546 (2020), 357–369 Journal
Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs (with A. V. Jayanthan) Comm. Algebra, 47 (2019), no. 11, 4797–4805 arXiv Journal
Hilbert series of binomial edge ideals (with R. Sarkar) Comm. Algebra, 47 (2019), no. 9, 3830–3841 arXiv Journal

Preprints under review

Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids (with M. DiPasquale, L. Fouli, and S. O. Tohǎneanu) arXiv
Symbolic Powers of Classical Varieties (with V. Mukundan) arXiv
Resurgence number of graded families of ideals (with H. T. Ha, H. D. Nguyen and T. T. Nguyen) arXiv
F-thresholds of filtrations of ideals (with M. Koley) arXiv
Powers of facet ideals of simplicial trees (with Ajay Kumar) arXiv
Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals (with R. Kumar) arXiv

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Research

Research Interest

My research interest lies in combinatorial commutative algebra. I am interested in applying combinatorial tools to different problems in commutative algebra. I wrote my Ph.D. thesis on the homological properties of binomial edge ideals under the supervision of Prof. A. V. Jayanthan.

Publications

Subadditivity, strand connectivity and multigraded Betti numbers of monomial ideals (with A. V. Jayanthan) J. Commut. Algebra, 15 (2023), no. 4, 519-541 arXiv Journal

Properties of analogues of Frobenius powers of ideals (with S. Chanda) Indian J. Pure Appl. Math., 54 (2023), no. 2, 524–531 arXiv Journal

Upper bounds for the regularity of symbolic powers of certain classes of edge ideals (with S. Selvaraja) J. Algebra Appl., 22 (2023), no. 1, 2350016 arXiv Journal

Binomial expansion for saturated and symbolic powers of sums of ideals (H. T. Ha, A.V. Jayanthan and H. D. Nguyen) J. Algebra, 620 (2023), 690–710 arXiv Journal

On the resurgence and asymptotic resurgence of homogeneous ideals (with A. V. Jayanthan and V. Mukundan) Math. Z., 302 (2022), no. 4, 2407–2434 arXiv Journal

Rees algebra and special fiber ring of binomial edge ideals of closed graphs, Illinois J. Math., 66 (2022), no. 1, 79–90 arXiv Journal

Symbolic powers of cover ideals of certain graphs (with R. Kumar, R. Sarkar and S. Selvaraja) Acta Math. Vietnam., 46 (2021), no. 3, 599–611 arXiv Journal

Binomial edge ideals and bounds for their regularity, J. Algebraic Combin., 53 (2021), 729–742 arXiv Journal

Regularity of parity binomial edge ideals, Proc. Amer. Math. Soc., 149 (2021), 2727–2737 arXiv Journal

Certain algebraic invariants of edge ideals of join of graphs (with R. Kumar and R. Sarkar) J. Algebra Appl., 20 (2021), no. 6, 2150099 arXiv Journal

Lovász-Saks-Schrijver ideals and parity binomial edge ideals of graphs, European J. Combin., 93 (2021), 103274 arXiv Journal

Almost complete intersection binomial edge ideals and their Rees algebras (with A. V. Jayanthan and R. Sarkar) J. Pure Appl. Algebra, 225 (2021), no. 6, 106628 arXiv Journal

Binomial edge ideals of generalized block graphs, Internat. J. Algebra Comput., 30 (2020), no. 8, 1537–1554 arXiv Journal

Depth and extremal Betti numbers of binomial edge ideals (with R. Sarkar) Math. Nachr., 293 (2020), no. 9, 1746–1761 arXiv Journal

Regularity of powers of quadratic sequences with applications to binomial ideals (with A. V. Jayanthan and R. Sarkar∗) J. Algebra, 564 (2020), 98–118 arXiv Journal

Regularity bound of generalized binomial edge ideal of graphs, J. Algebra, 546 (2020), 357–369 Journal

Regularity of binomial edge ideals of Cohen-Macaulay bipartite graphs (with A. V. Jayanthan) Comm. Algebra, 47 (2019), no. 11, 4797–4805 arXiv Journal

Hilbert series of binomial edge ideals (with R. Sarkar) Comm. Algebra, 47 (2019), no. 9, 3830–3841 arXiv Journal

Preprints under review

Generalized Hamming weights and symbolic powers of Stanley-Reisner ideals of matroids (with M. DiPasquale, L. Fouli, and S. O. Tohǎneanu) arXiv

Symbolic Powers of Classical Varieties (with V. Mukundan) arXiv

Resurgence number of graded families of ideals (with H. T. Ha, H. D. Nguyen and T. T. Nguyen) arXiv

F-thresholds of filtrations of ideals (with M. Koley) arXiv

Powers of facet ideals of simplicial trees (with Ajay Kumar) arXiv

Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals (with R. Kumar) arXiv