4 papers
Deflating hyperbolic surfaces and the shapes of optimal Lipschitz maps
Aaron Calderon, Jing Tao
Given two hyperbolic surfaces and a homotopy class of maps between them, Thurston proved that there always exists a representative minimizing the Lipschitz constant. While not uniq…
Hierarchical hyperbolicity of admissible curve graphs and the boundary of marked strata
Aaron Calderon, Jacob Russell
We show that for any surface of genus at least 3 equipped with any choice of framing, the graph of non-separating curves with winding number 0 with respect to the framing is hierar…
Siegel-Veech Constants for Cyclic Covers of Generic Translation Surfaces
David Aulicino, Aaron Calderon, Carlos Matheus +2
We compute the asymptotic number of cylinders, weighted by their area to any non-negative power, on any cyclic branched cover of any generic translation surface in any stratum. Our…
Realizing pairs of multicurves as cylinders on translation surfaces
Juliet Aygun, Janet Barkdoll, Aaron Calderon +2
Any pair of intersecting cylinders on a translation surface is "coherent," in that the geometric and algebraic intersection numbers of their core curves are equal (up to sign). In…