Samuel J. Taylor

activity

20092023

most citedConvex cocompactness and stability in mapping class groups

61 citations · 219 across the 26 of their papers we have counts for

collaborators

Showing 2015 · math.GTShow all

3 papers · 2 filters

math.GT2015

Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length

Tarik Aougab, Samuel J. Taylor

Given $ϕ$ a pseudo-Anosov map, let $ℓ_{T} (ϕ)$ denote the translation length of $ϕ$ in the Teichmüller space, and let $ℓ_{C} (ϕ)$ denote the stable translation…

math.GT2015

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…

math.GT2015

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 $F_{N}$ of rank $N \geq 3$ or of the fundamental group of a closed, orientable surface $S_{g}$ of genus $g \geq 2$ is…