The following schedule is extremely provisional and subject to change as the course progresses.

Week of	Topics
1/17	Schemes and functors. Maps to projective space.
1/23	Projective morphisms. Ample sheaves.
1/30	Quasi-affine and quasi-projective, ample, very ample. Blowing up.
2/06	Differentials and deformations.
2/13	Smooth, étale, and unramified morphisms.
2/20	Introduction to cohomology.
2/27	Sheaf cohomology. Flasque sheaves. Cech cohomology.
3/06	Cohomology of affine and projective schemes
3/13	Finiteness of cohomology
3/20	Serre-Grothendieck duality
3/27	Spring Break
4/03	Curves, Riemann-Roch for Curves
4/10	Hurwitz's theorem. Projective embeddings
4/17	Surfaces: divisors on surfaces
4/24	Riemann-Roch for surfaces, applications
5/1	Reading Week