<p>If your school is that unaccommodating, you may need to get a master’s degree at somewhere more conducive to graduate education. </p>
<p>It’s not a caste system so much as a horrible rush for the few spots that exist - every last bit of advantage you can give yourself helps. And like any race, the farther you fall behind, the harder it is to catch up later on. </p>
<p>Some people knew that going on to a math PhD is what they want to do coming into undergrad. Obviously, they did some homework and positioned themselves well for that.</p>
<p>There is certainly a lot more than intelligence that goes into getting a PhD in a given field. There is something called direction - that is what gets you places, and a PhD is supposed to be a long term investment, so they’ll be looking for that mainly. Show evidence that you’re very talented at what you do and are making promising progress towards asking interesting questions in mathematics and trying to answer them, get someone to write a credible reference. Even if you are still just toying around (research in math isn’t even much of a requirement to get into grad school).</p>
<p>People do all sorts of things to accomplish the latter - it isn’t unheard of to transfer to a school that better meets your needs. It is not unheard of to pursue a master’s degree.</p>
<p>If you like, try Cambridge Part III, the 1 year master’s program in the UK, which is very prestigious and not incredibly hard to get in, although certainly an achievement to actually go through. I think students from lesser known schools might benefit a lot from showing they can survive that (not to mention, you get exposure to advanced mathematics at a very serious pace). There are opportunities for significant financial aid for it, although I suspect you’ll have to look into this more carefully, given your home undergrad school doesn’t seem to be friendly in the first place to your needs, and seems unlikely to seek out opportunities to give you scholarships.</p>
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<p>If you are really hot stuff, you don’t need to get into a top graduate school to survive a mathematics career. You need to go to a strong one in your field, and then perform well once there. Going to an elite high school helps you get a head start when gunning for top undergrad schools, and similarly with undergrad to grad. But a lot of what you do in grad school will be what helps determine the beginnings of your career. There are a LOT of grad programs out there with quite strong programs. I feel sure that if you try some of the things that have been suggested to you and do well at the math classes you take and show keen interest, you’ll eventually get there if it’s meant to happen at all. </p>
<p>Sorry this is all so far off the topic of the thread at this point.</p>