Facts:
1) I'm a math major. This is because I like proving stuff better than sitting in lab spilling mercury on things.
2) I really like sociology. Specifically I like the idea of doing research and getting statistics and coming up with neat models about human society. Which means I want to be a grad student in sociology, but I have no idea what I want to do after that.
3) I go to Caltech. We don't really have a sociology program here. But even if we did I would still probably want to be a math major because I like proving stuff better than writing essays.
Questions:
a) Will it hurt me that I'm not getting a BS in sociology? How much? I was thinking maybe I could salvage my app by saying I can use math to build cool models of stuff.
What do sociology PhDs do after they graduate, aside from academia?
c) I'll have at least two papers before I graduate, but they're in a completely unrelated field (fruit fly stuff). Will they help my application?
d) How can I demonstrate my interest in the field (aside from taking classes, which I'm already going to do?)
Thank you for your advice!