Lectures
Notes from courses I have taken and lecture series I am writing.
- Mathematical General RelativityLecture notes on the mathematical foundations of general relativity, from manifolds to the singularity theorems.
- Newman–Penrose and GHP formalismsTwo-component spinors, the Newman–Penrose and GHP formalisms, and the compacted GHP calculus.
- Black hole perturbation theoryThe Regge–Wheeler, Zerilli and Teukolsky equations and the linear stability of Schwarzschild and Kerr.