6 citations · 25 across the 18 of their papers we have counts for
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math.GT2024
The geometry of totally geodesic subvarieties of moduli spaces of Riemann surfaces
Francisco Arana-Herrera, Alex Wright
We prove a semisimplicity result for the boundary, in the corresponding Deligne-Mumford compactification, of a totally geodesic subvariety of a moduli space of Riemann surfaces. At…
math.GT2023
The distribution of critical graphs of Jenkins-Strebel differentials
Francisco Arana-Herrera, Aaron Calderon
By work of Jenkins and Strebel, given a Riemann surface X and a simple closed multi-curve on it, there exists a unique quadratic differential q on X whose horizontal foliation…
math.GT2022★ 1 cited
The shapes of complementary subsurfaces to simple closed hyperbolic multi-geodesics
Francisco Arana-Herrera, Aaron Calderon
Cutting a hyperbolic surface X along a simple closed multi-geodesic results in a hyperbolic structure on the complementary subsurface. We study the distribution of the shapes of th…