Yupeng Li

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20222026

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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.CO2025

Shellability of the quotient order on lattice path matroids

Carolina Benedetti, Anton Dochtermann, Kolja Knauer +1

The concept of a matroid quotient has connections to fundamental questions in the geometry of flag varieties. In previous work, Benedetti and Knauer characterized quotients in the…