I forgot to mention some things in the last update:
- This summer I will be at MIT for SPUR, which should be a lot of fun. I debated for awhile between SPUR and applying to be a PROMYS counselor, but after thinking about it I’m too excited about the opportunity for research to turn it down.
- Next year I will be studying abroad at Cambridge. I’m really looking forward to this. Maybe I’ll even meet Timothy Gowers!
Incidentally, when I went to talk to David Jerison about SPUR, the conversation shifted to RSI (which he is also involved with). I told him I’d always been a little embarrassed about my RSI paper because the bulk of the argument in the first part of the paper is a rediscovery of a standard lemma in linear algebra (that two quadratic forms can be simultaneously diagonalized). Jerison replied that this wasn’t something to be embarrassed about; to the contrary, discovering a result “in the wild” meant that I would better understand its value (or something to that effect). Wise words.
I’ve been reading about a lot of interesting stuff; hopefully I’ll get some time to post about it during spring break.