2 papers
math.GT2025
Teichmüller theory via random simple closed curves
Curtis T. McMullen, Tina Torkaman
We show the map sending a compact hyperbolic surface to a random simple closed geodesic on determines a proper embedding of Teichmüller space into the spac…
math.GT1992
Riemann surfaces and the geometrization of 3-manifolds
Curt McMullen
About a decade ago Thurston proved that a vast collection of 3-manifolds carry metrics of constant negative curvature. These manifolds are thus elements of {\em hyperbolic geometry…