B. Rhoades

activity

20082026

most citedThe polytope of Tesler matrices

34 citations · 135 across the 47 of their papers we have counts for

collaborators

61 papers

math.CO2026

Forgotten characters

Kyle Celano, Brendon Rhoades

A partial permutation of $[n] := {1, \dots, n}$ is a bijection $g : I \to J$ between two subsets $I, J \subseteq [n]$ . Given a partial permutation $g$ of $[n]$ , let $a_g \in \mathbb{…

math.CO2026

Derangement permutation matrices and orbit harmonics

Yupeng Li, Jasper Liu, Brendon Rhoades

Let $x_{n \times n}$ be an $n \times n$ matrix of variables and let $S = F [x_{n \times n}]$ be the polynomial ring over these variables where $\mathbb{F}…

math.CO2026

Superspace coinvariants for wreath products

Sutanay Bhattacharya, Brendon Rhoades

Let $Ω$ be the superspace ring of regular differential forms on the affine space $C^{n}$ . If $G \subseteq G L_{n} (C)$ is a complex reflection group, the {\em $G$ -super…

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 $Ω$ for the bigraded algebra of regular differential forms over $F_{q}^{n}$ . The general linear group $G L_{n} (F_{q})$ acts on $Ω$ ; writ…

math.CO2025

Big Varchenko-Gelfand rings and orbit harmonics

Brendon Rhoades

Let $M$ be a conditional oriented matroid. We define a graded algebra $VG_{M}$ with vector space dimension given by the number of covectors in…

math.CO2025

A proof of the Fields Conjectures

Satoshi Murai, Brendon Rhoades, Andy Wilson

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

Forgotten characters

Derangement permutation matrices and orbit harmonics

Superspace coinvariants for wreath products

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

Big Varchenko-Gelfand rings and orbit harmonics

A proof of the Fields Conjectures

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