List of Publications

• Bounding reduction number and the Hilbert coefficients of filtration, (with Anoot K. Yadav) Preprint: https://arxiv.org/abs/2409.14860

• Ratliff-Rush filtration, Hilbert coefficients and the reduction number of integrally closed ideals, (with Anoot K. Yadav) Journal of Algebra, Volume 638, (2024), 214-237. https://doi.org/10.1016/j.jalgebra.2023.09.024

• Bounds for the reduction number of primary ideal in dimension three, (with Mousumi Mandal ) Proc. Am. Math. Soc., 151 (2023), 4127-4141. DOI: 10.1016/j.jalgebra.2023.09.024 

• Buchsbaumness of the associated graded rings of filtration, J. Algebra and its Applications 21(2) (2022), Article no. 2250039.   DOI: 10.1142/S0219498822500396

• On the finiteness of the set of Hilbert coefficients, (with Shreedevi Masuti), J. Commut. Algebra 11(4) (2019), pp  573-604. DOI: 10.1216/JCA-2019-11-4-573

• On Hilbert coefficients of parameter ideals and Cohen-Macaulayness, J. Commut. Algebra 10(3) (2018), pp 393-410. DOI: 10.1216/JCA-2018-10-3-393.

• Bounding Hilbert coefficients of parameter ideals, (with Anupam Saikia), J. Algebra 501 (2018), pp 328-344. DOI: 10.1016/j.jalgebra.2017.12.022.

Under Preparation:

• An equality of Elias-Valla and Buchsbaum associated graded rings of filtration