4 lives in this collection worked in kleinian groups, from 1907 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: hyperbolic geometry. All fields
Finnish-American complex analyst, one of the first two Fields Medallists, who made value distribution theory geometric and with Lipman Bers founded the modern theory of quasiconformal maps, Teichmüller spaces and Kleinian groups.
complex analysis, geometric function theory, quasiconformal mappings
Topologist who computed the classifying space of surgery theory, founded minimal-model rational homotopy theory, proved the no-wandering-domains theorem and launched string topology.
algebraic topology, geometric topology, rational homotopy theory
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
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