This book provides a panorama of modern techniques in the asymptotic analysis of classical and quantum fields in general relativity.

1. Introduction to modern methods for classical and quantum fields in general relativity Thierry Daudé, Dietrich Häfner and Jean-Philippe Nicolas; 2. Geometry of black hole spacetimes Lars Andersson, Thomas Bäckdahl and Pieter Blue; 3. An introduction to confirmal geometry and tractor calculus, with a view to applications in general relativity Sean N. Curry and A. Rod Gover; 4. An introduction to quantum field theory on curved spacetimes Christian Gérard; 5. A minicourse on microlocal analysis for wave propagation András Vasy.