Riemann surfaces

Prerequisites: Complex Analysis 

Harmonic and subharmonic functions. Dirichlet problem. Existence of meromorphic functions. Covering spaces. Uniformization theorem. Meromorphic functions and differentials. Hurwitz formula. Riemann-Roch theorem. Abel-Jacobi theorem. 

References:
FARKAS, H., KRA, I. – Riemann Surfaces. Berlim, Springer-Verlag, 1980.
REYSSAT, E. – Quelques Aspects des surfaces de Riemann, Birkäuser, 1989.

* Standard program. The teacher has the autonomy to make any changes.