## Mathematics

…everyone else would climb a peak by looking for a path somewhere on the mountain. Nash would climb another mountain altogether and

from that distant peak would shine a searchlight back onto the first peak.Sylvia Nasar

Peaks that I hope to climb:

- category theory
- topos theory
- knot theory
- algebraic geometry and topology
- non-commutative geometry
- dynamical triangulations
- Cartan geometry
- Morse theory
- quantum groups.

Advertisements