Part IB Topological Spaces, Lent 2027

Lecture notes are available. All corrections are welcome.

Part III Algebraic Topology, Michaelmas 2026

The small simplices theorem

Part IB Topological Spaces, Lent 2026

Lecture notes are available. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3

Part III Algebraic Topology, Michaelmas 2025

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

The small simplices theorem

Part IV A chromatic view of homological stability, Michaelmas 2024

MR12 13:00-14:00, Tuesdays and Thursdays from 15 October to 5 December.

Part II Algebraic Topology, Lent 2024

Lecture notes are available. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part IB Groups, Rings, and Modules, Lent 2024

Lecture notes are available. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part III Characteristic classes and K-theory, Lent 2023

Lecture notes. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part III Algebraic Topology, Michaelmas 2021

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

The small simplices theorem

Part III Homotopy Theory, Lent 2021

Lecture notes (warning: massive file size). All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part IA Groups, Michaelmas 2019

Lecture notes. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part IA Groups, Michaelmas 2018

Lecture notes. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part IB Groups, Rings, and Modules, Lent 2018

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part III Characteristic classes and K-theory, Lent 2018

Lecture notes. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3

Part IV Cobordism categories and the Madsen-Weiss theorem, Michaelmas 2017

Seminar plan

Part IB Groups, Rings, and Modules, Lent 2017

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part III Algebraic Topology, Michaelmas 2016

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

The small simplices theorem

Part IB Groups, Rings, and Modules, Lent 2016

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part III Homotopy Theory, Lent 2015

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Part II Algebraic Topology, Michaelmas 2014

Lecture notes are available. All corrections are welcome.

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Free groups handout (Section 4.2 in the notes.)

Part II Algebraic Topology, Michaelmas 2013

Example sheet 1
Example sheet 2
Example sheet 3
Example sheet 4

Free groups handout
Acyclic carriers handout