T  I  M     P  E  R  U  T  Z 

Smooth 4-manifolds

Cambridge University, 2006

After going through some basics, this course focused on Donaldson's revolutionary proof of the diagonalization theorem, via a 5-dimensional moduli space of instantons. Old-fashioned? Maybe. But it's still one of the most startling and beautiful arguments in modern mathematics.

A detailed set of notes can be found here.