Other Mathematical Stuff
Talks/Expositions
Here is the slides from a talk I gave last year at the Bristol junior number theory seminar, and at the TCC Number Theory Day at Imperial College, London. It's essentially an introduction to the local-global principles that I'm interested in, as well as a very rough sketch of the proof of my result on cubic hypersurfaces.
Local-Global Principles on hypersurfaces
Here are some notes based on a short (30 minute) talk I gave at the 'Young Researchers in Mathematics' (YRM) in Warwick in 2011, titled 'An introduction to the circle method'. DISCLAIMER: This is aimed at graduate students, with zero prior knowledge of the circle method or its applications. It is in no way rigorous, or supposed to be taken seriously!
An introduction to the circle method.
Random Stuff
A couple of years ago I woke up with a mathematical relation stuck in my head. Sitting down and checking it, I was surprised to discover that it was true! Although I have heard stories of great mathematicians solving problems in their dreams (notably Ramanujan), this has only happen to me once. And here it is!
A Binomial coefficient congruence.
Something just silly: last year we had a conference for all the Maths grads at Bristol. A call was put out for '5 minute talks', and this was my submission (don't be put off by the number of slides, most of them are 'animations'!)