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 203b will cover vector
bundles, sheaf cohomology, algebraic curves, Riemann-Roch, Serre
duality. Other possible topics: Chow groups, Chern classes,
intersection theory.