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Part III (MMath/MASt)

 

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
Complex Dynamics Part III Examinable Michaelmas 16
Homotopy Theory Part III Examinable Lent 24
Mapping Class Groups Part III Examinable Lent 16
Symplectic Topology Part III Examinable Lent 16