The ergodic theory of hyperbolic groups

These notes are a self-contained introduction to the use of dynamical and probabilistic methods in the study of hyperbolic groups. Most of this material is standard; however some of the proofs given are new, and some results are proved in greater generality than have appeared in the literature. These notes originated in a minicourse given at a workshop in Melbourne, July 11-15 2011.Comment: 37 pages, 5 figures; incorporates referee's comment

Three lectures on Cox rings

Notes of an introductory course given at the conference "Torsors: Theory and Applications" in Edinburgh, January 2011.Comment: Minor corrections, 37 page

Geometric Phases and Topological Effects

Lecture Notes of the 45th IFF Spring School "Computing Solids - Models, ab initio methods and supercomputing" (Forschungszentrum Juelich, 2014).Comment: 40 pages. January 201