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    I assume by research you mean paid research rather than just a hobby. If so, this probably makes sense mainly in an academic environment. So it would be useful for us to know whether you have any relevant academic background.
    – Bitwise
    Commented Aug 26, 2014 at 18:40
  • @Bitwise I am still only a senior in high school, though I have been actively involved in mathematics and computer science for quite some time now. I have explored my passion for academia over the past few years and have firmly decided that I want to be involved in it for the rest of my life.
    – user20284
    Commented Aug 26, 2014 at 18:42
  • Have you considered doing research in theoretical computer science, for instance on programming languages? Commented Aug 27, 2014 at 8:20
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    Most code isn't trivial. If you are spending a significant fraction of your time writing trivial code, something has gone wrong. Automate it. Commented Aug 27, 2014 at 9:14
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    Your enthusiasm will serve you well in any career that you choose, but I would caution you that it is increasingly difficult to pursue a career as a tenure-track mathematician. There are many software companies that solve difficult, math-intense problems; it's not all writing line-of-business software for medical records automation. If you're interested in learning about the sorts of problems that professional mathematicians solve, go to your local university library and take a look at some journals; the librarians will help you find what you're looking for. Commented Aug 27, 2014 at 13:42