3 papers
math.CO2025
RSK via local transformations
Sam Hopkins
We explain how to define the Robinson-Schensted-Knuth (RSK) correspondence in terms of local transformations called "toggles." (This note, which is not intended for publication and…
math.CO2018
The CDE property for skew vexillary permutations
Sam Hopkins
We prove a conjecture of Reiner, Tenner, and Yong which says that the initial weak order intervals corresponding to certain vexillary permutations have the coincidental down-degree…
math.CO2018
A positive formula for the Ehrhart-like polynomials from root system chip-firing
Sam Hopkins, Alexander Postnikov
In earlier work in collaboration with Pavel Galashin and Thomas McConville we introduced a version of chip-firing for root systems. Our investigation of root system chip-firing led…