The first call for applications for the new edition of the PhD Program in Mathematics UC|UP (starting September 2019) will be open during January 02, 2019 - February 04, 2019
The prize Eng. António de Almeida for the best doctoral thesis defended at FCUP in the years 2015 to 2017 in the areas of Mathematics, Statistics and Computer Science was awarded to Célia Borlido for her thesis "The word problem and some reducibility properties for pseudo- varieties of the form DRH", supervised by Prof. Jorge Almeida within the scope of PIUDM.
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.