## Publications

Local cohomology of modular invariant rings (with Jack Jeffries and Anurag Singh), to appear in Transformation Groups, 2023. ArXiv

On the Hilbert-Samuel coefficients of Frobenius powers of an ideal (with Arindam Banerjee and Jugal K. Verma), Proc. Amer. Math. Soc., 152(4), 1501–1515, 2024. DOI

Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers (with Vivek Mukundan, Sudeshna Roy and Jugal K. Verma), J. Softw. Algebra Geom., 13(1), 1–12, 2023. DOI (package MixedMultiplicity included in the software Macaulay2)

Affine semigroups of maximal projective dimension (with Om Prakash Bhardwaj and Indranath Sengupta), Collectanea Mathematica, 74, 703-727, 2023. DOI

On row-factorization relations of certain numerical semigroups (with Om Prakash Bhardwaj and Indranath Sengupta), International Journal of Algebra and Computation, 32(7), 1275–1305, 2022. DOI

Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex (with Arindam Banerjee and Jugal K. Verma), in Commutative Algebra: 150 years with Roger and Sylvia Wiegand, Contemporary Mathematics, vol. 773, Amer. Math. Soc., Providence, RI, 207-224, 2021. DOI

Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra (with Mitra Koley and Jugal K. Verma), Communications in Algebra, 49(7), 3066-3084, 2021. DOI

On the vanishing of the normal Hilbert coefficients of ideals (with Vivek Mukundan and Jugal K. Verma), J. Ramanujan Math. Soc., 35(2), 121-138, 2020. ArXiv

Tight Closure of powers of ideals and tight Hilbert polynomials (with Vivek Mukundan and Jugal K. Verma), Mathematical Proceedings of Cambridge Philosophical Society, 169(2), 335-355, 2020. DOI

Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals (with Sudeshna Roy and Jugal K. Verma), Acta Math Vietnam., 44(3), 671-689, 2019. DOI

## Conference Proceedings

Affine semigroups of maximal projective dimension (with Om Prakash Bhardwaj and Indranath Sengupta), Sém. Lothar. Combin., 86B, Art. 33, 10 pp., 2022.

(Proceedings of The 34th International Conference on Formal Power Series and Algebraic Combinatorics, a satellite conference of ICM 2022, held at Indian Institute of Science, Bangalore (India), 18 – 22 July 2022)

## Expository Writings

Computing mixed multiplicities, mixed volumes and sectional Milnor numbers (with Vivek Mukundan, Sudeshna Roy and Jugal K. Verma), to appear in the volume based on the International Conference in honor of Ravi S. Kulkarni’s 80th Birthday on Geometry, Groups and Mathematical Philosophy, Contemporary Mathematics, Amer. Math. Soc., 2023. ArXiv

Nullstellensätze and Applications (with Dilip P. Patil and Jugal K. Verma), in Mathematics, Its Applications and History, Papers contributed for the occasion of the Centenary anniversary of Ramjas college, University of Delhi, Narosa Publishing house, 1-44, 2022. ArXiv

Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings (with R. V. Gurjar and Jugal K. Verma), in Contributions in Algebra and Algebraic Geometry, Contemporary Mathematics, vol. 738, Amer. Math. Soc., Providence, RI, 2019, pp. 33-56. DOI, ArXiv