4 citations · 11 across the 18 of their papers we have counts for
5 papers · 1 filter
Automorphisms of the k-curve graph
Shuchi Agrawal, Tarik Aougab, Yassin Chandran +4
Given a natural number k and an orientable surface S of finite type, define the k-curve graph to be the graph with vertices corresponding to isotopy classes of essential simple clo…
Visualizing the Support of Kostant's Weight Multiplicity Formula for the Rank Two Lie Algebras
Pamela E. Harris, Marissa Loving, Juan Ramirez +4
The multiplicity of a weight in a finite-dimensional irreducible representation of a simple Lie algebra g can be computed via Kostant's weight multiplicity formula. This formula co…
A Generalization of Parking Functions Allowing Backward Movement
Alex Christensen, Pamela E. Harris, Zakiya Jones +4
Classical parking functions are defined as the parking preferences for cars driving (from west to east) down a one-way street containing parking spaces labeled from to …
On broadcast domination of certain grid graphs
Natasha Crepeau, Pamela E. Harris, Sean Hays +4
Let be a connected graph with vertex set and edge set . We say a subset of dominates if every vertex in is adjacent t…
Centers of subgroups of big mapping class groups and the Tits alternative
Justin Lanier, Marissa Loving
In this note we show that many subgroups of mapping class groups of infinite-type surfaces without boundary have trivial centers, including all normal subgroups. Using similar tech…