<p>What exactly do you do with this? Or with a Ph. D. in Topology? Or a Ph. D. in Analysis?</p>
<p>Uh, I think most people become professors, and do research and stuff. I guess you could try to get into financial type jobs too, but I don’t know how much the PhD helps more than a bachelor’s or master’s in math.</p>
<p>Try asking this in the gradute school forum.</p>
<p>You are a professor at a research university, spending most of your time doing research, working with grad students, writing papers.</p>