Andy Wilson

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math.CO2026

Superspace coinvariants and inverse systems for $G L_{n} (F_{q})$

Brendon Rhoades, Andy Wilson

Let $q$ be a prime power and write $I^c ◯$ for the bigraded algebra of regular differential forms over $F_{q}^{n}$ . The general linear group $G L_{n} (F_{q})$ acts on $I^c ◯$ ; wr…

math.CO2025

A proof of the Fields Conjectures

Satoshi Murai, Brendon Rhoades, Andy Wilson

The {\em superspace ring} of rank $n$ is the algebra $I^c ◯_{n}$ of differential forms on affine $n$ -space. The algebra $I^c ◯_{n}$ is bigraded with respect to polynomial and exterior degree…

math.CO2024

Tutte polynomials in superspace

Brendon Rhoades, Vasu Tewari, Andy Wilson

We associate a quotient of superspace to any hyperplane arrangement by considering the differential closure of an ideal generated by powers of certain homogeneous linear forms. Thi…

Superspace coinvariants and inverse systems for GLn​(Fq​)

A proof of the Fields Conjectures

Tutte polynomials in superspace

Superspace coinvariants and inverse systems for $G L_{n} (F_{q})$