3 papers
math.GT2022
Hyperbolic punctured spheres without arithmetic systole maximizers
Grant S. Lakeland, Clayton Young
We find bounds for the length of the systole -- the shortest essential, non-peripheral closed curve -- for arithmetic punctured spheres with cusps, for through , so…
math.GT2019
Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues
Brian A. Benson, Grant S. Lakeland, Holger Then
We compute the Cheeger constants of a collection of hyperbolic surfaces corresponding to maximal non-compact arithmetic Fuchsian groups, and to subgroups which are the rotation sub…
math.GT2018
Hyperbolic triangular prisms with one ideal vertex
Grant S. Lakeland, Corinne G. Roth
In this paper, we classify all of the five-sided three-dimensional hyperbolic polyhedra with one ideal vertex, which have the shape of a triangular prism. We show how to find each…