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.