61 citations · 219 across the 26 of their papers we have counts for
4 papers · 1 filter
Small intersection numbers in the curve graph
Tarik Aougab, Samuel J. Taylor
Let denote the genus orientable surface with punctures, and let . We prove the existence of infinitely long geodesic rays $\left\{v_{0},v_{1…
A note on subfactor projections
Samuel J. Taylor
We extend some results of [BF12] on subfactor projections to show that the projection of a free factor B to the free factor complex of the free factor A is well-defined with unifor…
Products of Farey graphs are totally geodesic in the pants graph
Samuel J. Taylor, Alexander Zupan
We show that for a surface S, the subgraph of the pants graph determined by fixing a collection of curves that cut S into pairs of pants, once-punctured tori, and four-times-punctu…
Convex cocompactness in mapping class groups via quasiconvexity in right-angled Artin groups
Johanna Mangahas, Samuel J. Taylor
We characterize convex cocompact subgroups of mapping class groups that arise as subgroups of specially embedded right-angled Artin groups. That is, if the right-angled Artin group…