This course provides an introduction to algebraic geometry. Algebraic
geometry is a central subject in modern mathematics, and an
active area of research. It has connections with
number theory, differential geometry, symplectic geometry, mathematical
physics, string theory, representation theory, combinatorics and others.
Math 203 is a two quarter sequence. Math 203a (Fall Quarter) will be
cover affine and projective varieties (roughtly the first 2/3 of the
quarter) and basics of scheme theory (the last 1/3 of the quarter).
The Winter Quarter will cover more scheme theory, sheaf cohomology,
algebraic curves,
Riemann-Roch, Serre duality.