3 papers
math.GT2023
Currents with corners and counting weighted triangulations
Tarik Aougab, Jayadev Athreya
Let be a closed orientable hyperbolic surface. We introduce the notion of a \textit{geodesic current with corners} on , which behaves like a geodesic current away from certa…
math.GT2023
A note on an effective characterization of covers with an application to higher rank representations
Tarik Aougab, Max Lahn, Marissa Loving +1
In this note we prove an effective characterization of when two finite-degree covers of a connected, orientable surface of negative Euler characteristic are isomorphic in terms of…
math.GT2022
Combinatorially random curves on surfaces
Tarik Aougab, Jonah Gaster
We study topological properties of random closed curves on an orientable surface of negative Euler characteristic. Letting denote the conjugacy class of the st…