The course introduces schemes and cohomology of sheaves. Topics include smooth morphisms, sheaves of differentials, the spectral sequence from Cech to derived functor cohomology, and application of the general theory to curves and surfaces.
Here are my hand-written lecture notes from the course:Problems sets:
Problem set 1 is not due.
Problem set 2 is due on Wednesday, February 28.
Problem set 3 is due on Wednesday, March 3.
Problem set 4 is due on Wednesday, March 14.
Problem set 5 is due on Wednesday, March 21.
Problem set 6 is due on Wednesday, April 11.
Problem set 7 is due on Wednesday, April 18.
Problem set 8 is due on Wednesday, April 25.
Problem set 9 is due on Wednesday, May 9.