Tarik Aougab

activity

20122026

most citedUniform Hyperbolicity of the Graphs of Curves

9 citations · 10 across the 16 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.GT2016

Packing curves on surfaces with few intersections

Tarik Aougab, Ian Biringer, Jonah Gaster

Przytycki has shown that the size $N_{k} (S)$ of a maximal collection of simple closed curves that pairwise intersect at most $k$ times on a topological surface $S$ grows…

math.GT2016

Pulling back stability with applications to Out( $F_{n}$ ) and relatively hyperbolic groups

Tarik Aougab, Matthew Gentry Durham, Samuel J. Taylor

We prove that stability -- a strong quasiconvexity property -- pulls back under proper actions on proper metric spaces. This result has several applications, including that convex…

math.GT2016

Counting curve types

Tarik Aougab, Juan Souto

Let $S$ be a closed orientable hyperbolic surface, and let $O (K, S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections.…

math.GT2016

Building hyperbolic metrics suited to closed curves and applications to lifting simply

Tarik Aougab, Jonah Gaster, Priyam Patel +1

Let $γ$ be an essential closed curve with at most $k$ self-intersections on a surface $S$ with negative Euler characteristic. In this paper, we construct a hyperbolic met…

Packing curves on surfaces with few intersections

Pulling back stability with applications to Out(Fn​) and relatively hyperbolic groups

Counting curve types

Building hyperbolic metrics suited to closed curves and applications to lifting simply

Pulling back stability with applications to Out( $F_{n}$ ) and relatively hyperbolic groups