Robert Angarone

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20232025

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math.CO2024

Generalized Diagonals in Positive Semi-Definite Matrices

Robert Angarone, Daniel Soskin

We describe all inequalities among generalized diagonals in positive semi-definite matrices. These turn out to be governed by a simple partial order on the symmetric group. This pr…

math.CO2024

Superspace coinvariants and hyperplane arrangements

Robert Angarone, Patricia Commins, Trevor Karn +2

Let $Ω$ be the {\em superspace ring} of polynomial-valued differential forms on affine $n$ -space. The natural action of the symmetric group $S_{n}$ on $n$ -space induces an…