# Teaching

## Algebraic Topology

This term (Michaelmas 2017) I am lecturing *Part II Algebraic Topology*. The 2017 example sheets will be similar, but not identical, to last year's (available below).

A hand-out giving proofs of the path and homotopy lifting lemmas is available here.

### Notes and resources

- Lecture notes, written by Oscar Randal-Williams, are available here. We will follow them quite closely.
- Allen Hatcher's book is another wonderful resource.
- The 2016 example sheets are available here: Sheet 1, Sheet 2, Sheet 3, Sheet 4.

## Geometric group theory

This term I will also be teaching a graduate course called *Topics in Geometric Group Theory*.

### Notes and resources

- The second half of the course will draw heavily on my notes on Non-positively curved cube complexes.
- Interested students may like to attempt the example sheets from the similar Part III course two years ago: Sheet 1 (with an answer to question 10 here), Sheet 2 (updated to reflect the fact that question 6 turns out to be an open problem!), Sheet 3, Sheet 4.