Patrick Waters thesis defense, April 10, 2015.

  1. Random matrices, illustrated
  2. Introduction and motivation
  3. Topological expansion of the partition function
  4. Orthogonal polynomials and string equations
  5. Valence independent solution to the string equations
  6. KP equations and RMT
  7. Solitons and recurrence coefficients
  8. RH method for computing generating functions
  9. Root-endpoint collision animations
  10. Modified EMcLP type formulas