- (P,M) Historical Remarks
- (M) Algebraic Preliminaries
- Orthogonal groups
- Spin groups
- low dimensional examples
- (P) Simple Quantum Systems
- (M) Clifford Algebras and Representation Theory
- (P) Representations used in physics:
- gamma matrices and Dirac operators
- (M) Differential Geometry
- review
- spin structures on manifolds
- Stiefel-Whitney classes
- Dirac operators
- (P) Spinors in curved spacetimes
- (M) Index Theorems
- (P) Anomalies and Index Theorems
- (P) Supersymmetry
- (P) Applications
- General Relativity, positive energy theorems
- spin manifolds in compactifications of string theories
- (M) Weitzenbock formula
- (M) Seiberg-Witten theory and invariants of 4-manifolds
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