I'm 12, and really like mathematics and physics. I was just wondering what does a 'theoretical mathematician' do?
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closed as offtopic by Fernando Muro, Daniel Moskovich, Ramiro de la Vega, David White, Willie Wong Oct 22 '13 at 14:44
This question appears to be offtopic. The users who voted to close gave this specific reason:
 "This question does not appear to be about research level mathematics within the scope defined in the help center." – Fernando Muro, Daniel Moskovich, Ramiro de la Vega, David White, Willie Wong
There are several things that mathematicians do:
Most mathematicians do a bit of everything. For instance, I teach at a university, I do theoretical math, but I also do applied math because my research is about math and computers. So I often figure out how to program computers so that they can do math by themselves, which means that I need to write programs as well as invent new math that allows me to write even smarter programs. If you would like to know examples of this, just ask. 

