Some interesting things have happened in the past few days around here. First of all, my mother became a US citizen on Wednesday.
I went to aaronlehmann‘s house yesterday. I hadn’t seen him for a while, so it was nice to catch up with him. His family spent several years building a house, and they finally moved into it about a year ago. It’s a great place, but they don’t have enough stuff (in my opinion).
I finished reading the first chapter of Richard Stanley’s Enumerative Combinatorics a few minutes ago. It seems to me that if a high school student can get through the first chapter of this book (which is not the easiest thing in the world), then that person should have no trouble with combinatorics problems on high school contests. Of particular note is the twelvefold way (section 1.4). I had never seen combinatorics explained so completely before — nearly all the combinatorics problems on high school contests (at least up to AIME level) are trivial if you learn about half of the results in just this section.
I’m heading back to Santa Barbara tomorrow. I wonder how that will be.