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.

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