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Re:An Aspiring Scientist’s Frustration with Modern-Day Acade... by colechristensen on Thursday April 23, 2015 @01:21PM (#9428280)
You can, but...

Some do actually use supercomputers to do mathematics.

Most however, thrive in an actual academic environment including spending a lot of time interacting with other mathematicians and going to conferences. There's a big difference between living in an academic environment and spending your whole life thinking about math and being around people who do the same... and working a 9-5 and doing a little math on the side. Not to say it isn't possible, but most reasonable jobs don't leave much left over mental energy for doing maths.

Re:An Aspiring Scientist’s Frustration with Modern-Day Acade... by AngrySkillzz on Thursday April 23, 2015 @01:34PM (#9428347)
Yeah, and it's hard to get exposure to areas that might be fertile for inquiry if you aren't spending time with other people who are working on mathematics. It's a social networking effect, in the same way that you pick up programming tricks and get exposure to new frameworks/languages/techniques by spending time with other developers.

I'm sure there is a sizable number of "amateur" mathematicians who work on problems in their free time, but it is hard to know what to work on and where to look.