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 |
|---|---|---|---|
| Differential Geometry | Part III Examinable | Michaelmas | 24 |
| Algebraic Topology | Part III Examinable | Michaelmas | 24 |
| Complex Manifolds | Part III Examinable | Lent | 24 |
| Symplectic Geometry | Part III Non-Examinable | Lent | 24 |
| Geometric Group Theory | Part III Examinable | Lent | 24 |
| Simplicial Homotopy Theory | Part III Examinable | Lent | 24 |
| Topology of Manifolds | Part III Non-Examinable | Lent | 24 |