3 papers
math.AG2023
Closure of Certain Matrix Varieties and Applications
William Chang, Robert Guralnick
We prove some results about closures of certain matrix varieties consisting of elements with the same centralizer dimension. This generalizes a result of Dixmier and has applicatio…
math.CO2022
Stochastic Couplings and Bijections from the Symmetric Group to Itself
William Chang
Inspired by the Stochastic processes described by the Feller Coupling and Chinese Restaurant Processes, we create four different bijections from words in the set $[1]\times [2] \ti…
math.GT2022
Compatibility in Ozsvath-Szabo's bordered HFK via higher representations
William Chang, Andrew Manion
We equip the basic local crossing bimodules in Ozsváth-Szabó's theory of bordered knot Floer homology with the structure of 1-morphisms of 2-representations, categorifying the $U_q…