### Supervisions

I supervise undergraduates in Cambridge, this year mainly students from Newnham, Emmanuel and Queens', but also 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.

This Michaelmas Term (2015) I am giving supervisions in IA Groups for Newnham and Murray Edwards, and IB Linear Algebra for Newnham and Emmanuel. All students, please go to the CamTools site for supervision times (which will be advertised in an email to you all).

### Groups Ia lecture course

In Michaelmas 2015 I am lecturing the Cambridge first year course on Groups (for the second time). All students should look on the course page on Moodle. Here is the lecture-accompanying blog Think for yourself.

Lecture notes (last update 18 Nov 2015)

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.