Arvind Kumar

works on

algebraic combinatorics 1 asymptotic resurgence 1 computational algebra 1 facet ideals 1 functorial constructions 1 graphic matroids 1 graph theory 1 hamiltonian graphs 1 linear operators 1 Lorentzian polynomials 1 matroid theory 1 polymatroids 1

From the 2 of 7 linked papers with an AI index.

activity

20242026

collaborators

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math.NT2025

Distinguishing Siegel modular forms

Arvind Kumar, Ariel Weiss

Let $f$ and $f^{'}$ be genus $2$ cuspidal Siegel paramodular newforms. We prove that if their Hecke eigenvalues $a_{p}$ and $a_{p}^{'}$ satisfy a non-trivial polynomial relation $P(a_p, a_p'…

math.AC2025

Symbolic Powers of Classical Varieties

Arvind Kumar, Vivek Mukundan

Let $R = K [x_{1}, \dots, x_{n}]$ and let $a_{1}, \dots, a_{m}$ be homogeneous ideals satisfying certain properties, which include a description of the Noetherian s…