The central theme of this project is the study, from an algorithmic point of view, of geometric and combinatorial structures related to hyperbolic surfaces and their moduli, i.e. the set of all hyperbolic metrics on a fixed surface. We plan to implement our algorithms for this purpose and also to make them publicly available to all potential users via The Computational Geometry Algorithms Library (CGAL). We also want to advertise our work using a web application in order to have as much impact as possible.