My goal up through grad school had been to spend my life doing academic, research mathematics. I got screwed by my advisor and department, though, so that hasn't worked out. I would nevertheless still like to do math and somehow contribute. Is there any place outside academia that does serious, professional pure math? Ideally, I'd like to at least publish a few research papers on vaguely-mathematical topics, but it's hard to find jobs that even afford that; in fact, it's hard to find jobs that use math beyond the undergrad level. it seems like my best bet is finding something in security related to theoretical computer science, but that's not a field I have any interest in; besides, I'm not sure how interested the industry would be in someone coming in from a pure math background. So, is there any reasonable equivalent or approximation to research mathematics in industry; and, if not, what's the closest I can actually get to it?

• I don't have any good advise but I just want to express my deepest condolence. I hope that you'll eventually figure out some way and be able keep on doing mathematics. Best luck to you. – BigbearZzz Aug 20 '16 at 21:06
• @FaraadArmwood: But it's the opposite of academia. – anomaly Aug 20 '16 at 21:25
• Trust me. There will be a lot of people who can address this on there. The name of the thread is misleading. – Faraad Armwood Aug 20 '16 at 21:26
• @FaraadArmwood: (Continued from above) More to the point, math is very different from other fields in that it's really not done in industry. It's trivial to find this sort of position in engineering and other applied fields, and there's a revolving door between academia and industry in computer science. There's really no math beyond the undergrad level involved outside academia. No one in industry cares, for example, about representation theory beyond what would be covered in the standard introductory group theory class, if even that. – anomaly Aug 20 '16 at 21:31

If you are serious about commercial sector employment, you need to look at it from a commercial point of view. Some large commercial companies are getting interested in basic research, but it seems to me there is still a clear commercial aspect to their hiring--at least from a long-term point of view. If they are going to pay you \$100K a year, it will cost them at least \$200K a year to have you around (social security tax, health insurance, admin and facilities costs, and so on). So they are asking themselves what you can do for them that makes it worth \$200K a year over the long run to have you around.