This is the homepage of Alistair Wallis. I started a PhD at Heriot-Watt in September 2009. My main research interests lie in algebraic semigroup theory, category theory and K-theory, but I am also interested in fractal geometry, probability theory, mathematical physics, theoretical computer science and the philosophy and history of maths and science. My supervisor is Mark Lawson.
Previously, I did an MMath degree at St Andrews University from 2005 to 2009. I did research into the generating sets of infinite monoids and a Baire-categorical approach to typical properties of continuous functions in the summer of 2008. My masterís dissertation was about a mathematical framework for statistical inference in finite-dimensional quantum systems (pdf). In my first year at Heriot-Watt I took SMSTC courses in Algebra, Geometry and Topology, and Probability.
I was Maths PhD rep at Heriot-Watt from 2010 - 2012. The current rep is Houry Melkonian.
From 2010 - 2012 I was the organiser of Friday afternoon PhD seminars. The current organiser is Iain Ritchie. Here is the 2011/12 schedule.
I was a co-ordinator of category theory and (with Rob Stewart) functional programming reading groups.
Slides and Notes:
In my third year at Heriot-Watt I was Treasurer of the HWU Whisky Tasting Society, performed in a pantomime adaptation of Sleeping Beauty and organised football matches every Thursday. While at St Andrews, I spent 3 years on the committee of the chess society, 2 years on the committees of the maths society, Unicef on Campus, the physics society, and one year on the committees of Musfund and my halls of residence.