Table of Contents

Structural aspects of quantum field theory.- Introduction to Algebraic Quantum Field Theory.- Algebraic Quantum Field Theory on curved backgrounds.- QED and infrared sectors.- Applicative aspects of algebraic quantum field theory.- Hadamard States and Microlocal Analysis.- Applications of algebraic quantum field theory to cosmology.- Conformal Field Theory and its applications.- Supersymmetric algebraic quantum field theory.- Interacting field theories.- Perturbative Algebraic Quantum Field Theory.- Integrable models and construction of interacting quantum field theories.- Kitaev’s Toric Code model.- Algebraic quantum field theory on non commutative spacetimes.