Differential geometry and topology concerns the study of the shapes of spaces, in particular manifolds, and the study of calculus on manifolds. There are deep connections to both algebra (e.g. via geometric group theory) and algebraic geometry (e.g. via the study of complex manifolds). The Michaelmas term courses in Algebraic Topology and Differential Geometry are foundational and will be prerequisite for most avenues of further study.
| Title | Examinable | Term | Number of Lectures |
|---|---|---|---|
| Algebraic Topology | Part III Examinable | Michaelmas | 24 |
| Differential Geometry | Part III Examinable | Michaelmas | 24 |
| Mapping Class Groups | Part III Examinable | Michaelmas | 16 |
| Symplectic Geometry | Part III Examinable | Michaelmas | 16 |
| Complex Manifolds | Part III Examinable | Lent | 24 |
| Knots | Part III Examinable | Lent | 24 |
| Coxeter Groups | Part III Examinable | Lent | 16 |
| Topics in Symplectic Topology | Graduate Non-Examinable | Michaelmas | 12 |
| 4-manifolds | Graduate Non-Examinable | Lent | 16 |
