So, I've been reading that in general, it helps your chances to email professors you'd like to work with. Does this apply to mathematics as well? I was under the impression with mathematics (based on talking to a graduate advisor at a school I applied to) that you get in, you attend seminars and talks by professors in the department and get an idea of what topics interest you, and what professors you'd want to work with.
I've tried reading geometry/topology research by prospective advisors, an area I have some research experience in, and a lot of it is still undecipherable. What would I email professors about?