**James Williams**

I am currently studying for a PhD in Mathematics (Group Theory).

**Contact**

**Teaching**

This semester I am a teaching assistant for Algebra 1B.

Below you will find rough explanations and answers to emails I have received. Usually if I think an email will be of interest to other students, I will upload the explanation here.

**Algebra 1B *NEW***

For the first time, I am
uploading some of my *personal notes and
lesson plans* for tutorials that I am unable to deliver. Please remember
that these notes are based on an older version of the course and so some
material and question numbering may be different.

**Algebra 1A**

How
to show something is an equivalence relation

Sheet 6
Hints/Similar Examples

Some advice based on my experience of studying university Mathematics

Examples of equivalence relations and partitions and transversals

Examples of the equivalence relation ~n and remainders of division by n.

An explanation of some questions on sheet 3 and on equivalence relations.

Equivalence Classes and Multiplicative Inverses

A quick and dirty guide to Group Actions, Orbits and Stabilisers