18 citations · 72 across the 12 of their papers we have counts for
4 papers · 1 filter
Root system chip-firing I: Interval-firing
Pavel Galashin, Sam Hopkins, Thomas McConville +1
Jim Propp recently introduced a variant of chip-firing on a line where the chips are given distinct integer labels. Hopkins, McConville, and Propp showed that this process is confl…
Root system chip-firing II: Central-firing
Pavel Galashin, Sam Hopkins, Thomas McConville +1
Jim Propp recently proposed a labeled version of chip-firing on a line and conjectured that this process is confluent from some initial configurations. This was proved by Hopkins-M…
Enumerative properties of Grid-Associahedra
Alexander Garver, Thomas McConville
We continue the study of the nonkissing complex that was introduced by Petersen, Pylyavskyy, and Speyer and was studied lattice-theoretically by the second author. We introduce a t…
Minimal length maximal green sequences
Alexander Garver, Thomas McConville, Khrystyna Serhiyenko
Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. It is an open problem to determine what lengths are achieved by the max…