Two questions following a bit of background:
I'm currently a 4th year Physics/Mathematics major to graduate in the spring, and I'm beginning my applications for Grad. school. My goal is theoretical/mathematical physics. Just the idea of applying pure mathematics to physics is exciting to me.
I've taken the Physics GRE Subject tests and all that great stuff, but the more I think of it... the more I feel I prefer mathematics, and as a result---mathematics graduate studies; I'd still like to apply this to physics, eventually, but what I really want is the pure, abstract math first.
1) The next Mathematics Subject GRE is in April. If I want to get into a mathematics graduate program, have I missed my shot?
2) How viable of an option would it be to switch from a physics grad. program into a mathematics one in the same university?