Special relativity -- Riemannian geometry -- Introduction to general relativity -- General relativity -- Einstein's equations -- Black holes -- Kruskal-Szekeres coordinates and geodesics of the Schwarzschild black hole -- Conformal compactifications and Penrose diagrams -- Penrose diagrams of charged & rotating black holes -- Rotating black holes and black hole mechanics -- Black hole mechanics and thermodynamics -- Black hole thermodynamics -- Black holes and entropy -- Hawking and Unruh radiation -- Quantum field theory in curved space-time backgrounds -- Unruh und Hawking effect -- Information loss paradox -- Solitons in String Theory -- Brane solutions -- Dimensional reduction and black holes -- Black holes in string theory from p/D-branes -- Black hole microstate counting -- Asymptotic symmetries in general relativity and black hole hair -- Asymptotic symmetries of 4D space-time geometries -- BMS charges -- The gravitational memory effect -- Current research on BMS-like transformations and charges of black holes -- Quantum hair and quantum black hole vacua.