**Lecture 1**: Wedderburn-Artin Theory

**Lecture 2**: Tensors and Centralizers

**Lecture 3**: Noether-Skolem and examples

**Lecture 4**: Crossed Products

**Lecture 5**: Second and first cohomology groups

**Lecture 6**: Cohomology and the connecting map

**Lecture 7**: Primary decomposition and some involutions

**Lecture 8**: Involutions and other anti-automorphisms

**Lecture 9**: Existence of involutions and division algebras

**Lecture 10**: Cayley-Hamilton and friends

**Lecture 11**: Ramification, introduction

**Lecture 12**: Ramification, part 2