Joshua Maglione

collaborators

3 papers

math.CO2025

Symplectic Hecke eigenbases from Ehrhart polynomials

Claudia Alfes, Joshua Maglione, Christopher Voll

For $n \in N$ and $ℓ \in {0, 1, \dots, n}$ , we consider the function extracting the $ℓ$ th coefficient of the Ehrhart polynomials of lattice polytopes in $R^{n}$ . T…

math.CO2024

Hall-Littlewood polynomials, affine Schubert series, and lattice enumeration

Joshua Maglione, Christopher Voll

We introduce multivariate rational generating series called Hall-Littlewood-Schubert ( $HLS_{n}$ ) series. They are defined in terms of polynomials related to Hall-Littlewood…

math.CO2024

Ehrhart polynomials, Hecke series, and affine buildings

Claudia Alfes, Joshua Maglione, Christopher Voll

Given a lattice polytope $P$ and a prime $p$ , we define a function from the set of primitive symplectic $p$ -adic lattices to the rationals that extracts the $ℓ$ th coefficient of…