Tarik Aougab

activity

20082026

most citedMinimally intersecting filling pairs on surfaces

31 citations · 100 across the 28 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

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★ 2 cited

Local geometry of the k-curve graph

Tarik Aougab

Let $S$ be an orientable surface with negative Euler characteristic. For $k \in N$ , let $C_{k} (S)$ denote the $k-curve graph$ , whose vertices are isotop…

math.GT2015

Curves intersecting exactly once and their dual cube complexes

Tarik Aougab, Jonah Gaster

Let $S_{g}$ denote the closed orientable surface of genus $g$ . We construct exponentially many mapping class group orbits of collections of $2 g + 1$ simple closed curves on $S_{g}$ which…