Introduction
Interval Exchange Maps and Translation Surfaces
Unipotent Flows and Applications
Quantitative Nondivergence and its Diophantine Applications
Diagonal Actions on Locally Homogeneous Spaces
Fuchsian Groups, Geodesic Flows on Surfaces of Constant Negative Curvature and Symbolic Coding of Geodesics
Chaoticity of the Teichmiiller Flow
Orbital Counting via Mixing and Unipotent Flows
Equidistribution on the Modular Surface and L-Functions
Eigenfunctions of the Laplacian on Negatively Curved Manifolds : A Semiclassical Approach