This is probably what my college list is going to be:
Reaches:
Uchicago - likely ED
Swarthmore
Harvard
Caltech
MIT
Princeton
UCLA
UCB
Target:
Reed
UC Santa Barbara CCS
Safeties:
Bard
UT Austin (auto accept)

maybe:
Rice
CMU
Wesleyan University
Williams
Amherst
Rhodes
Pomona

I'll add my personal reasons why each college below:
Harvard - their high value placed on truth, passion, and knowledge for the sake of knowledge culture appeals to me
Princeton - IAS + very good faculty
Caltech - theoretical focus, very good math school, more specialized knowledge
MIT - blend of application and theory, helps me get out of my comfort zone of theory, probably best in terms of growing my skills
UCLA - pure math institute
UC Hicago - I find their CORE, unique path, intelectualism, and free-speech values very appealing. They also have a pretty good math program.
UCB - history as a breeding ground for progressivism
UC Santa Barbara - Their CCS math program is very cool. The vibes I get from it are very administratively chill, even smaller honor college at a public state university. They seem to focus a lot on just learning math, which I think really fits my goals well. I think most CCS math kids do grad classes in their junior year, which is pretty cool.