4 lives in this collection worked in geometric group theory, from 1943 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: dynamical systems. All fields
Geometer who created the h-principle, Gromov–Hausdorff convergence, hyperbolic groups and the theory of pseudoholomorphic curves in symplectic manifolds.
riemannian geometry, metric geometry, geometric group 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
Co-founder of Teichmüller dynamics, known for the Hubbard–Masur theorem, the Masur–Veech theorems on interval exchanges, rational billiards, and the hyperbolicity of the curve complex with Yair Minsky.
teichmüller theory, dynamical systems, low-dimensional topology
Mathematician who used rigidity in dynamics to solve counting problems in number theory, geometric group theory and the moduli space of flat surfaces, including the magic wand theorem with Maryam Mirzakhani.
dynamical systems, homogeneous dynamics, teichmüller dynamics