3 papers
math.RT2025
Generalized Rank via Minimal Subposet
Thomas Brüstle, Justin Desrochers, Samuel Leblanc
Let be a small, connected category with finite hom-sets. We show that if the embedding of a connected subcategory is both initial and final, then the re…
math.RT2025
Stabilization of the Spread-Global Dimension
Benjamin Blanchette, Justin Desrochers, Eric J. Hanson +1
Motivated by constructions from applied topology, there has been recent interest in the homological algebra of linear representations of posets, particularly in the context of homo…
math.RA2022
On centralizers in Azumaya domains
Thomas Bitoun, Justin Desrochers
We prove a positive characteristic analogue of the classical result that the centralizer of a nonconstant differential operator in one variable is commutative. This leads to a new,…