48 citations · 96 across the 11 of their papers we have counts for
10 papers · 1 filter
Isospectral Configurations in Euclidean and Hyperbolic Geometry
Hidetoshi Masai, Greg McShane
A number of questions related to the length spectrum of surfaces are discussed and in particular the existence of pairs of surfaces which though not isometric are isospectral. Here…
Rank two free groups and integer points on real cubic surfaces
Greg McShane
Counting integer points on the Markoff cubic is closely related to questions in hyperbolic geometry. In a previous work with Igor Rivin we investigated the regularity of the geodes…
On systoles and ortho spectrum rigidity
Hidetoshi Masai, Greg McShane
We consider the ortho spectrum of hyperbolic surfaces with totally geodesic boundary. We show that in general the ortho spectrum does not determine the systolic length but that the…
Geodesic intersections and isoxial Fuchsian groups
Greg McShane
The set of axes of hyperbolic elements in a Fuchsian group depends on the commensurability class of the group. In fact, it has been conjectured that it determines the commensurabil…
Large cone angles on a punctured sphere
Greg McShane
Do and Norbury found a so-called differential relation which relates the volume of the moduli space of singular surface with a cone point to that of a smooth surface obtained by fo…
Normalized Entropy versus Volume
Sadayoshi Kojima, Greg McShane
Thanks to a recent result by Jean-Marc Schlenker, we establish an explicit linear inequality between the normalized entropies of pseudo-Anosov automorphisms and the hyperbolic volu…