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The two career options I hear over and over again for math phd's are software engineer or financial mathematician. Of these two I think I would prefer being a financial mathematician, as, in contrast to software engineering, it seems to intersect non-trivially with some advanced topics in math, specifically measure-theoretic probability and real/fourier analysis ( please correct me if I am misinformed in regard to this assumption ). Plus I find economics and finance interesting subjects in their own right, although of course not hardly as interesting as I find pure mathematics.

My question is: should I start preparing now? I will probably be applying to PHD programs either next fall or the fall after that, depending on how many graduate courses I want to take before I apply, so should I just buckle down on the pure math for now and worry about preparing for plan B maybe as I'm finishing up my PHD?

__Or__, should I begin studying finance and applied math, and learning to program, now?