Tina Torkaman

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20212025

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math.GT2025

Teichmüller theory via random simple closed curves

Curtis T. McMullen, Tina Torkaman

We show the map $σ : T_{g} \to C_{g}$ sending a compact hyperbolic surface $X$ to a random simple closed geodesic on $X$ determines a proper embedding of Teichmüller space into the spac…

math.GT2022

Geodesic planes in a geometrically finite end and the halo of a measured lamination

Tina Torkaman, Yongquan Zhang

Recent works [MMO1, arXiv:1802.03853, arXiv:1802.04423, arXiv:2101.08956] have shed light on the topological behavior of geodesic planes in the convex core of a geometrically finit…

math.GT2021

Train tracks, entropy, and the halo of a measured lamination

Tina Torkaman, Yongquan Zhang

Let $L$ be a measured geodesic lamination on a complete hyperbolic surface of finite area. Assuming $L$ is not a multicurve, our main result establishes the exi…