7 lives in this collection worked in dynamical systems, from 1854 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: geometric group theory, mathematical physics, probability theory. All fields
Universal mathematician who created automorphic functions, the qualitative theory of dynamical systems and algebraic topology, discovered chaos in the three-body problem, and formulated the Lorentz group of relativity.
complex analysis, differential equations, celestial mechanics
Founder of axiomatic probability theory whose work also shaped turbulence, Hamiltonian dynamics, ergodic theory and algorithmic complexity.
probability theory, real analysis, turbulence
Topologist who discovered exotic spheres and made defining contributions to differential topology, singularity theory, algebraic K-theory, group growth and holomorphic dynamics.
differential topology, knot theory, singularity theory
Founder of the modern theory of chaotic dynamical systems through Kolmogorov–Sinai entropy, dispersing billiards, Markov partitions and SRB measures, and a leader of rigorous statistical physics.
ergodic theory, dynamical systems, mathematical physics
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