Big Sums

You know HTML is really naff for writing maths. Not that I'd really have much to write about anyway, but I might be able to show you my masters or a paper which I'm currently writing. The introduction to that paper was printed in the Bulletin of the IMS, Easter 1999. (I also have a local copy of this). There is also a copy of my PhD Thesis.

Here are some fractal anims. Fractals are nice, 'cos they're so easy to play with. In secondary school I wrote myself a progam for drawing pretty pictures, and then strung them together.

You'll need something like xanim to show them... They aren't really quicktime movies, but they are of a format xanim knows (Amiga IFF). If anyone can tell me how to convert them into something more net standard let me know. The images for some of these made it into a talk I gave in Maynooth in November 2000.

1. For z -> conj(z^t) + c, this is quite interesting compared to the bog standard Mandolbrot set, bits of it are smooth!
2. For z -> z^t + c, this is just a Mandelbot set for x^2 becoming one for x^3.
3. For z -> z^2 + c(t), this shows how a circle can become one of those dusty yokes.
4. For z -> z^2 + c, but with a zoom. Dead dull.