This is a big course of mathematics declined in two versions.

(almost) Everything I know in math

The document (almost) Everything I know in mathematics contains almost everything I know in mathematics. It includes

General differential geometry

Lie groups, Lie algebra

Quantum field theory

Very few physics. The aim is to understand why are we using groups, representations and principal bundle in quantum field theory.

Non commutative geometry

Black hole in anti-de Sitter space

This is the argument of my thesis.