This is not exactly a math question but I figured this would be the best place to ask - I suppose mathematicians are best qualified to answer it.
This summer I will finish my thesis in pure mathematics and therefore the master's degree itself. My thesis is in Mathematical Logic (concerning functional interpretations); I have a strong background in algebra and a bit of geometry too.
My plan is to proceed to a PhD, which is actually what I would love to do and is my first option. But I wanted to have a plan B (and C, D, ...) in case things don't go as expected. So the question is: what kind of job outside academia would allow me, simultaneous, to
- explore what I've learned so far and use (some of) it
- eventually allow me to keep developing my knowledge on mathematics
I mean, a lot of people suggest working at banks, etc - but that's finance, statistics, not pure mathematics. Is there anything out there that meets my needs or am I asking for too much?
Edit: I have a minimal programming background (this basically means I learned the basics of the language C), I very much like programming (specially the logic behind it) and would definitely be interested in learning more.