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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
Differential Geometry Part III Examinable Michaelmas 24
Algebraic Topology Part III Examinable Michaelmas 24
Characteristic classes and K-Theory Part III Examinable Lent 24
Complex Manifolds Part III Examinable Lent 24
Stationary measures for random walks on homogeneous spaces Graduate Non-Examinable Lent 16
Geometric Group Theory Part III Examinable Lent 16