1.
Lowdimensional topology: the study of knots,
threemanifolds, fourmanifolds, knot cobordism
etc.
2.
Topological invariants associated to quantum field
theory (i.e. "Quantum invariants"), such as quantum group
invariants, finitetype invariants, the Kontsevich
integral and categorical invariants.
3.
Lie algebras, Lie groups and representation theory.
