Scientists / Open questions

Curtis T. Mcmullen

Dynamical systems; hyperbolic geometry

1998 Fields Medal

29 questions

  1. Is McMullen's dynamical Weil–Petersson metric on the moduli space of Blaschke products Kähler, convex, and incomplete?

  2. The Salem spectrum of Coxeter groups: exact range below the golden ratio and essential elements

  3. An algebraic description and classification of primitive Teichmüller curves in genus greater than two

  4. The closure of the space of Blaschke products in the Silverman and DeMarco compactified moduli spaces of rational maps, and realization of its boundary by polynomial dynamics

  5. Hausdorff dimension of quadratic Julia sets and Siegel-disk scaling in the unbounded-type regime

Back to open problems