Below are some notes I've written, usually for talks or expanded from talks. They are unedited, so use with care. In roughly reverse chronological order.
  • (UChicago Summer School) Genera: From Cobordism to K-theory
  • (UChicago Summer School) Equivariant K-theory
  • (Pretalbot 2016) [unfinished] Overview of Abstract Homotopy Theory
  • (Pretalbot 2016) Homotopy Colimits and Universal Constructions
  • (Pretalbot 2016) [unfinished] Browder's Theorem
  • (Pretalbot 2015) Rational Homotopy Theory I
  • (Pretalbot 2014) Manic Geometric Ramblings
  • (K3 Seminar) Curves on Algebraic Surfaces I
  • (K3 Seminar) Curves on Algebraic Surfaces II
  • (K3 Seminar) Classification of Algebraic Surfaces I
  • (K3 Seminar) Classification of Algebraic Surfaces II
  • (K3 Seminar) Elliptic Surfaces
  • (K3 Seminar) Kummer Surfaces
  • (K3 Seminar) [mistakes] Period Maps and the Gauss-Manin Connection
  • (K3 Seminar) Derivative of the Period Map
  • (K3 Seminar) Lifting K3 Surfaces I
  • (Grad Seminar) Differential Galois Theory Through Examples