Math 245a - Topics in Algebraic Geometry

Dragos Oprea, TuTh 2:40-3:55, 381T.

The topic for this quarter is the geometry of the moduli space of curves. The rough plan is to spend some time constructing the Hilbert scheme, and then the moduli space. The last part of the course will introduce the tautological classes, and present examples and computations in low genus, as well as some intersection theory on the moduli space of stable curves.