Having hit a bit of a wall trying to prove that a maximal cyclotomic matrix necessarily squares to 4I, I’ve been exploring related questions instead. For instance, it only took a couple of tweaks to my code to search for matrices that square to 3I instead of 4I; there turn out to be only finitely …
I’ve often said that trying to explain your work to others is the best way to check you understand it, and whilst preparing for this week’s talk at Cambridge (which was apparently well received!) I started to have some doubts about an algorithm I’d been using. In the end I didn’t go into enough technical …
Slides for a talk on cyclotomic matrices/graphs given at the MAGIC conference in Manchester.
A processing applet to tackle a genetic algorithm challenge.
The cover article of this quarter’s iSquared magazine is by me!
Slides from a colloquium I gave on public key cryptography.
Mathematical study is often thought of as ‘purer’ than scientific research- instead of labs full of chemicals, fruit flies or lasers, our work could in theory proceed with nothing more than a chalkboard; rather than believing theories through weight of evidence and an absence of counterexamples, we prove theorems as undeniable consequences of our base …
Notes from my geometry club talk given April 18th, 2008.
A simple maths game about probability.
Brief, fairly technical overview of what I’ve been working on these last few months.