B. Rhoades

works on

derangements 1 hilbert series 1 homological algebra 1 orbit harmonics 1 permutation matrices 1 symmetric group representations 1

From the 1 of 19 linked papers with an AI index.

activity

20242026

most citedSuperspace coinvariants and hyperplane arrangements

2 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing 2024 · math.COShow all

10 papers · 2 filters

math.CO2024

Equivariant cohomology of Grassmannian spanning lines

Raymond Chou, Tomoo Matsumura, Brendon Rhoades

Given integers $n \geq k \geq d$ , let $X_{n, k, d}$ be the moduli space of $n$ -tuples of lines $(ℓ_{1}, \dots, ℓ_{n})$ in $C^{k}$ such that $ℓ_{1} + \dots + ℓ_{n}$ has di…

math.CO2024

Increasing subsequences, matrix loci, and Viennot shadows

Brendon Rhoades

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

math.CO2024

Harmonics and graded Ehrhart theory

Victor Reiner, Brendon Rhoades

The Ehrhart polynomial and Ehrhart series count lattice points in integer dilations of a lattice polytope. We introduce and study a $q$ -deformation of the Ehrhart series, based on…

math.CO2024

Extending the parking space

Andrew Berget, Brendon Rhoades

The action of the symmetric group $S_{n}$ on the set $P a r k_{n}$ of parking functions of size $n$ has received a great deal of attention in algebraic combinatorics. We prove that the ac…

math.CO2024

Involution matrix loci and orbit harmonics

Moxuan J. Liu, Yichen Ma, Brendon Rhoades +1

Let $Mat_{n \times n} (C)$ be the affine space of $n \times n$ complex matrices with coordinate ring $C [x_{n \times n}]$ . We define graded quotie…

math.CO2024

Spanning subspace configurations

Brendon Rhoades

A {\em spanning configuration} in the complex vector space $C^{k}$ is a sequence $(W_{1}, \dots, W_{r})$ of linear subspaces of $C^{k}$ such that $W_1 + \cdots + W_r = \m…