The second call for applications to the 2018/19 edition of the PhD Program in Mathematics UC|UP will be open from June 1 until June 15, 2018. The online application form will appear here on the 1st of June.
Affine varieties. Zariski's topology. Hilbert's Basis Theorem and Nullstellensatz. Spectrum of a ring. Projective varieties. Sheaves, schemes and algebraic varieties. Irreducibility and dimension. Morphisms of algebraic varieties.
One or more of the following additional topics may be covered:
Algebraic curves, Serre duality, the Riemann-Roch Theorem, sheaf cohomology.