Christopher Voll

activity

20242026

collaborators

4 papers

math.GR2026

Symplectic lattice counting and zeta functions of higher Heisenberg groups

Jianhao Shen, Christopher Voll

We derive explicit formulae for the subalgebra zeta functions of all higher Heisenberg Lie algebras over an arbitrary compact discrete valuation ring $o$ . To this end, w…

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…