C. McMullen

collaborators

3 papers

math.DS2017

On the postcritical set of a rational map

Laura G. DeMarco, Sarah C. Koch, Curtis T. McMullen

The postcritical set $P (f)$ of a rational map $f : P^{1} \to P^{1}$ is the smallest forward invariant subset of $P^{1}$ that contains the critical values of $f$ . In…

math.GT2017

Almost simple geodesics on the triply punctured sphere

Moira Chas, Curtis T. McMullen, Anthony Phillips

Every closed hyperbolic geodesic $γ$ on the triply--punctured sphere $M = C - {0, 1, \infty}$ has a self--intersection number $I (γ) \geq 1$ and a combinatorial leng…

math.CV2000

The moduli space of Riemann surfaces is Kahler hyperbolic

Curtis T. McMullen

Let $\cM_{g,n}$ be the moduli space of Riemann surfaces of genus $g$ with $n$ punctures. From a complex perspective, moduli space is hyperbolic. For example, $\cM_{g,n}$ is abundan…