Part IB Groups, Rings, and Modules, Lent 2018


Part III Characteristic classes and K-theory, Lent 2018


Part IB Groups, Rings, and Modules, Lent 2017

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Part III Algebraic Topology, Michaelmas 2016

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The small simplices theorem


Part IB Groups, Rings, and Modules, Lent 2016

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Part III Homotopy Theory, Lent 2015

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Part II Algebraic Topology, Michaelmas 2014

Lecture notes are available. All corrections are welcome.

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Free groups handout (Section 4.2 in the notes.)


Part II Algebraic Topology, Michaelmas 2013

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Free groups handout
Acyclic carriers handout