Preprints

1. 1. v-numbers of symbolic power filtrations, Vanmathi A and Parangama Sarkar, arXiv:2403.09175. (modified version here)

 Publications       

1. 1.  On a generalized Auslander-Reiten conjecture (with Souvik Dey and Shinya Kumashiro), to appear in Algebr. Represent. Theory.

   2.  Epsilon multiplicity and analytic spread of filtrations (with Steven Dale Cutkosky),  Illinois J. Math., (2024), 68 (1), 189-210.

   3.  Analytic spread of filtrations and symbolic algebras (with Steven Dale Cutkosky),  J. Lond. Math. Soc. (2), volume 106, (2022), no. 3, 2635-2662.

   4.  Multiplicities and mixed multiplicities of arbitrary filtrations (with Steven Dale Cutkosky),  Research in the Mathematical Sciences, volume 9, Article number: 14 (2022).

   5.  Frobenius Betti numbers and syzygies of finite length modules (with Ian M. Aberbach), Proc. Amer. Math. Soc., 148, (2020), no. 8, 3245–3262.

   6.  Rees' theorem for filtrations, multiplicity function and reduction criteria, J. Pure Appl. Algebra,  224 (2020), no. 2,  789-805.

   7.  Mixed multiplicities of filtrations (with Steven Dale Cutkosky and Hema Srinivasan), Trans. Amer. Math. Soc., 372 (2019), no. 9, 6183-6211.

   8. Multigraded regularity, reduction vectors and postulation vectors, J. Algebra, 491 (2017), 58-77.

   9. Local cohomology of multi-Rees algebras, joint reduction numbers and product of complete ideals (with J. K. Verma), Nagoya Math. J., 228 (2017), 1-20.

   10. Postulation and reduction vectors of multigraded filtrations of ideals (with J. K. Verma), J. Commut. Alg., 9 (2017), no. 4, 563-597.

   11.  Variations on the Grothendieck-Serre formula for Hilbert functions and their applications (with Shreedevi K. Masuti and J. K. Verma), Algebra and its applications, 123–158, Springer Proc. Math. Stat., 174, Springer, Singapore, 2016.

   12.  Hilbert polynomials of multigraded filtrations of ideals (with Shreedevi K. Masuti and J. K. Verma),  J. Algebra, 444 (2015), 527-566.