I'm kinda annoyed because Blogger cut off my posting halfway through to do maintenance work, so I lost the stuff I was typing...shouldn't they save the damn thing first or something?

Anyway, as I was saying.....

Back to London, and a welcoming rain was drizzling down when I arrived. The flight was OK, apart from the fact that none of the inflight movies were appealing to me (Mr & Mrs Smith? No thanks). So I did a lot of reading... I had a couple of scientific papers that I had to read, and that was a bit going. Aside from that, I am reading a 'popular science' book on a mathematical problem called the Riemann hypothesis, which mathematicians have been trying to prove for over a century. I use quotation marks when referring to it as 'popular science' because it's not trivial... the author actually tries to explain matrix and eigenvalue theory, not to mention bits of complex analysis.

I won't try to explain what the Riemann hypothesis is about, but it's basically something to do with how prime numbers are distributed throughout the real integers. What was fascinating were the large sections devoted to portraying the mathematicians past and present who were working on the problem. Physics tends to attract a lot of obsessive types, and I've encountered some of them (some might even consider yours truly to be one such person), but the mathematicians described are truly nutcases. They tend to start being obsessed with maths from a very early age, whereas I didn't really get into physics until about 2nd year in uni (I started the physics degree with the intention of going into planetary exploration). I guess part of my intimidation with such types is the fact that my own maths ability is my Achilles' heel, but still....

I also finally got round to writing my personal statement for my PhD applications. I'll be applying mostly to US universities, as I can only apply to one UK university. This is because I can only specify one institution for the Queen's Overseas Research Scholarship which is essentially my only source of funding in the UK, so I'll probably be choosing Cambridge, which is a reasonably safe choice. As for US universities, in rough order of preference: Stanford, Princeton ("Might be hard for you to get in", Kinwah said), Caltech, Chicago ("Good chance of getting in"), Harvard ("Pity...I know one of the admissions tutors but he's retiring this year"), Cornell ("Quite good chance..."), and as a backup, the University of California, Santa Cruz.

I'm essentially going to pick any of the US universities (apart from UC Santa Cruz) over Cambridge, because US PhDs take 5-6 years on average compared with 3 years for a UK PhD, and I think I need those extra years to work on my abovementioned weakness in maths.

Notice that apart from Chicago, all my US choices are either on the US Northeast or California....