Simon Bossoney

Teaching & PhD Courses Algèbre linéaire et géométrie (pour MAN) PREPA-032(a) We present the fundamental notions of linear algebra in the geometric context where they emerged. We will therefore emphasize the dimensions 2 and 3, and insist on the visualisation of classical objects and operations in the plane and in the 3D space. Analysis I (for CMS) PREPA-003(a) This first semester class is an introduction to the basis of differential calculus. Analysis II (for CMS) PREPA-006 Presentation of standard fonction in analysis. Introduction to complex numbers and to polynomials. Developments of functions in Taylor series. Introduction to linear and ordinary differential equations of first and second order. Axiomatic Quantum Field Theory PHYS-757 Presentation of Wightman's axiomatic framework to QFT as well as to the necessary mathematical objects to their understanding (Hilbert analysis, distributions, group representations,...). Proofs of the main mathematical consequences (CPT, spin-statistics, Reeh-Schlieder, Haag no-go). Chosen topics in mathematics (for MAN) PREPA-092 Read in french (requirement for this course). Mathematical aspects of quantum physics PHYS-469 This lecture is a more advanced course in fonctionnel Analysis, presenting techniques with spécial interests for quantum Mechanics