61 citations · 219 across the 26 of their papers we have counts for
4 papers · 1 filter
Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length
Tarik Aougab, Samuel J. Taylor
Given a pseudo-Anosov map, let denote the translation length of in the Teichmüller space, and let denote the stable translation…
Cannon-Thurston maps for hyperbolic free group extensions
Spencer Dowdall, Ilya Kapovich, Samuel J. Taylor
This paper gives a detailed analysis of the Cannon--Thurston maps associated to a general class of hyperbolic free group extensions. Let denote a free groups of finite rank $…
Contracting orbits in Outer space
Spencer Dowdall, Samuel J. Taylor
We show that strongly contracting geodesics in Outer space project to parameterized quasigeodesics in the free factor complex. This result provides a converse to a theorem of Bestv…
Random extensions of free groups and surface groups are hyperbolic
Samuel J. Taylor, Giulio Tiozzo
In this note, we prove that a random extension of either the free group of rank or of the fundamental group of a closed, orientable surface of genus is…