This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a nonspecialized audience the basic tools needed to understand and appreciate new trends of research on Schrödinger operator theory. Topics discussed include various aspects of the spectral theory of differential operators, the theory of selfadjoint operators, finite rank perturbations, spectral properties of random Schrödinger operators, and scattering theory for Schrödinger operators. The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrödinger operators. This book is published in cooperation with Sociedad Matemática Mexicana. Readership Graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrödinger operators. Table of Contents  A. M. Hinz  Topics from spectral theory of differential operators
 J. Brasche  Spectral theory for selfadjoint extensions
 I. Veselić  Integrated density of states and Wegner estimates for random Schrödinger operators
 P. Kurasov  Singular and supersingular perturbations: Hilbert space methods
 F. Bentosela  Scattering and spectral properties of two surface models
