3 papers
math.GT2021
Cutting and Pasting in the Torelli subgroup of Out()
Jacob Landgraf
Using ideas from 3-manifolds, Hatcher--Wahl defined a notion of automorphism groups of free groups with boundary. We study their Torelli subgroups, adapting ideas introduced by Put…
math.CO2015
Counting prime juggling patterns
Esther Banaian, Steve Butler, Christopher Cox +3
Juggling patterns can be described by a closed walk in a (directed) state graph, where each vertex (or state) is a landing pattern for the balls and directed edges connect states t…
math.CO2015
A generalization of Eulerian numbers via rook placements
Esther Banaian, Steve Butler, Christopher Cox +3
We consider a generalization of Eulerian numbers which count the number of placements of "rooks" on an board where there are exactly rooks in each row and each…