3 lives in this collection worked in knot theory, from 1831 to today. Each has a full course on their life and the mathematics and physics they made.
Often together with: mathematical physics. All fields
Edinburgh natural philosopher who co-wrote the Treatise on Natural Philosophy with Kelvin, championed quaternions, and founded knot theory with the first knot tables.
mathematical physics, knot theory, graph theory
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
Fields Medallist who turned ideas from quantum field theory and string theory into mathematics, proving Witten's conjecture and founding homological mirror symmetry and deformation quantization of Poisson manifolds.
algebraic geometry, mathematical physics, symplectic geometry