The classification of anti de Sitter black holes is an open problem of central importance in holography.
In this talk, I will present new advances in classification of supersymmetric solutions to five-dimensional minimal gauged supergravity.
In particular, we prove a black hole uniqueness theorem within a 'Calabi-type' subclass of solutions with biaxial symmetry.
This subclass includes all currently known black hole solutions within this theory.