Thanks again for the comments on my previous post. I've done some work narrowing the field of math schools. Note that since my previous post I've made a decision to weight schools in the south a bit more heavily than those in the north. Here is a list, along with my comments. AMS Group I: U(TX), Austin: Very large, well regarded. Generous stipends. U(MD), College park: Seems to be stocked with various kinds of analysts. They do have a leading symbolic dynamics guy, though. High cost of living? Twin Cities: Missed their deadline. They looked nice, though. Hard to get in? U(WI), Madison: Strengths in algebra and combinatorics. Low Faculty/student. U(CA), San Diego: Looks nice. Purdue: An engineering school, I'm not sure I'd fit the culture. Georgia Tech: Has one of the only combinatorics programs in the US, but with a very applied bent. See Purdue. Good stipends, but I'm not sure what the cost of living is. U(GA): Strong in representation theory, nice to students. Group II: Arizona: Friendly appearance, didn't tweak my academic curiousity. Florida: I don't have a note written for this one. IIRC, has an unusual strength in discrete geometry. TAMU: Very large. My notes claim a strength in algebra, but the largest group of degrees was in applied math. Kentucky: Friendly web site, nice location. PhDs.org gave it a decent ranking (for my weighting), for some reason. Don't know much else. Any comments are appreciated. I hope that some version of this list may be a help to others in a similar situation.