Guys, I have a lot of questions. The time to really think about where to apply to university has arrived and I am not able to fully commit to a decision. Firstly, I want to be either a mathematician or a physicist. A question that I think others have wondered but never asked explicitly (that I've seen) is: is it is easier for a mathematician to pick up relevant physics or for a physicist to pick up relevant mathematics? My second question is how much math must/should a physicist know? Specifically, what classes should I look for (complex analysis, functional analysis, diff. equations...)? Once I sort some of these things out, it will be easier for me to choose a university.