Computational Approach to Riemann Surfaces

Introduction to Compact Riemann Surfaces.- Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package "algcurves".- Algebraic curves and Riemann surfaces in Matlab.- Computing Poincare Theta Series for Schottky Groups.- Uniformizing real hyperelliptic M-curves using the Schottky-Klein prime function.- Numerical Schottky Uniformizations: Myrberg's Opening Process.- Period Matrices of Polyhedral Surfaces.- On the spectral theory of the Laplacian on compact polyhedral surfaces of arbitrary genus.