Joseph McDonough

collaborators

2 papers

math.CO2025

Kirillov-Reshetikhin Dual Equivalence Graphs

Joseph McDonough, Pavlo Pylyavskyy, Shiyun Wang

Let $U$ be a tensor product of highest weight modules of $G L_{n} (C)$ corresponding to multiples of fundamental weights (i.e. rectangles). We consider three ways to stratify $…

math.CO2024

The Stanley-Stembridge Conjecture for $2 + 1 + 1$ -avoiding unit interval orders: a diagrammatic proof

Joseph McDonough, Pavlo Pylyavskyy, Shiyun Wang

A natural unit interval order is a naturally labelled partially ordered set that avoids patterns $3 + 1$ and $2 + 2$ . To each natural unit interval order one can as…

Kirillov-Reshetikhin Dual Equivalence Graphs

The Stanley-Stembridge Conjecture for 2+1+1-avoiding unit interval orders: a diagrammatic proof

The Stanley-Stembridge Conjecture for $2 + 1 + 1$ -avoiding unit interval orders: a diagrammatic proof