### Supervisions

I supervise undergraduates in Cambridge, mainly students from Newnham and Queens', but also sometimes from other colleges. Courses I teach include Linear Algebra (second year), Groups (first year), Vectors and Matrices (first year), Groups, Rings and Modules (second year) and Complex Analysis (second year). If you are a DoS and would like me to supervise for your college, you can contact me per email under jg352; however I tend to be quite full.

### Groups Ia lecture course

In Michaelmas 2014 I lectured the Cambridge first year course on Groups. Here is the lecture-accompanying blog Think for yourself.

Lecture notes (last updated morning of 29 April, corrected several typos. Most important one: p. 28 Definition of normaliser: Clearly H is a subgroup of it's normaliser.)

Practice sheets (for personal practice, not for supervisions):

Practice Sheet A

Practice Sheet B

Practice Sheet C

Example sheets:

Example Sheet 1

Example Sheet 2

Example Sheet 3

Example Sheet 4

### Category Theory lecture course

In Michaelmas 2013 I lectured the Part III course on Category Theory, as I also did in Michaelmas 2011 and 2012. Material is still here for interested people.

2013 example sheets:

Example Sheet 1

Example Sheet 2

Example Sheet 3

Example Sheet 4

Further examples:

Examples of categories and functors

Examples of adjunctions

Examples of coseparating sets and separating families

Notes on Adjunctions, Monads and Lawvere Theories by Filip Bár

Example sheets from previous years: on archive page.

### Video Solutions

Video solutions to some example sheet questions.

**You should only look at these once you've tried the question!** Some data will be saved when you watch the videos, such as where you pause, what answer you clicked, etc. You can use the tick boxes on the list of videos to indicated if you have "completed" a question; I will also be able to see this information.