I am a Junior in high school right now, trying to figure out what to do next mathematically. I have familiarity with real analysis (Baby Rudin, and also a bit on the gauge integral), complex analysis (mostly contour integration), and am building a good algebra background (from Birkhoff, with help from Dummit and Foote). I also have familiarity with many disparate topics (e.g. Fractional calculus, and elliptic curves). I'm interested in studying...everything really, but I am currently trending towards algebraic geometry, after burning out a bit on analysis (I went from Calc AB through Rudin and beyond in the summer). My problem is that I haven't really had guidance since auditing Differential Equations and Calc 3 over the summer, other than answers to elliptic curve questions from a prof at a semi-local university (there is nothing within an hour of me). I've emailed a few professors at big universities, but so far response has been lukewarm (mostly due to time constraints for them). I was hoping someone on this site, which I've sort of used as a teacher, could point me somewhere productive. Maybe a math department that might be receptive, or a guide on what other topics to study in order to give myself a proper maths background? Thanks in advance! (Also, I understand that this should probably be a community wiki, but don't know how to make it one).
2026-04-01 11:43:36.1775043816
A future in mathematics
151 Views Asked by user160071 https://math.techqa.club/user/user160071/detail AtRelated Questions in ABSTRACT-ALGEBRA
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