The goal of this course is to introduce the student to the concepts and techniques of many-body quantum theory, putting an emphasis on condensed matter systems. We will discuss current research topics in condensed matter such as strongly correlated electron systems, nanostructures, superconductivity, topological insulators, etc. The course is intended to initiate students in these topics and to enlarge the horizons of those students with a background in Quantum Field Theory and high-energy physics.