It is done. I've been tentatively saying to people that the research required for my thesis has been complete for the last week or so, but until I got to Slovenia and spoke to my friend/colleague/unofficial replacement supervisor/walking Encyclopedia Mathematica DJ I couldn't be 100% sure. In fact, at the end of a half-hour brainstorming session yesterday morning it became clear that I wasn't quite done , but having been shown the one missing link in our chain of logic I simply beat the hell out of maths yesterday afternoon until it capitulated.
Now I have reached my favourite part of the academic process, writing papers. This is fun for two reasons. Firstly, writing=awesome, whether it's a story or a blog post or an academic article. Secondly, though, now that I'm supposed to be typing away at my computer all day no-one suspects anything as I sit here yapping away on the Musings instead. Take that, government funding to take me overseas! In your face, wonderfully kind and hospitable Slovenian hosts!
Anyway, gloat over. I shall now try and actually write some maths.
See you back here in, ooh, ten minutes or so...
 Maths is a funny business. The best way to explain the mistake I made is to use an analogy. I tried to prove that if there is only one water trough in a fenced field, then no matter where a horse is when it needs a drink, it will always go to the same trough, and so sooner or later the horse will visit said location. DJ's objection to my reasoning was essentially "why assume horses drink?". Of course, this being maths, I had to prove that mammals require water to function, and that took about four hours.