Hyperbolic geometry

3 lives in this collection worked in hyperbolic geometry, from 1946 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: kleinian groups, teichmüller theory. All fields

  • William P. Thurston1946–2012

    Geometer who transformed foliation theory and 3-manifold topology, proving hyperbolization for Haken manifolds and proposing the geometrization conjecture.

    low-dimensional topology, foliations, hyperbolic geometry

  • Curtis T. McMullen1958–

    Fields Medallist who connected complex dynamics, Kleinian groups and Teichmüller theory, and classified Teichmüller curves and SL2(R) orbit closures in genus two.

    complex dynamics, hyperbolic geometry, teichmüller theory

  • Maryam Mirzakhani1977–2017

    First woman to win the Fields Medal, for her work on the geometry and dynamics of Riemann surfaces and their moduli spaces.

    hyperbolic geometry, teichmüller theory, ergodic theory