The aim of the course is to present in details some advanced theoretical tools in quantum mechanics with an emphasis on degenerate many-body systems and scattering theory.

The main goal of this course is to provide an introduction to the subject of topological phenomena in condensed-matter. 

Modern physics is characterized by an increasing complexity of systems under investigation, in domains as diverse as condensed matter, astrophysics, biophysics, etc. Due to the growing availability of experimental data, data-driven modelling is emerging as a powerful way to model those systems. The objective of the course is to provide the theoretical concepts and practical tools necessary to understand and to use these approaches.