You're pretty much where I am at, just that I fked up my life, I am probably going to jail again... for smoking weed... its a fking shame because everyone who knows me knows that I have a gift for mathematics and science. In one year in High school, when I finally got my life on track, I skipped college algebra, trig, and precalc, and went straight to AP calc 1 and 2, as well as simultaniously taking physics I and II, and AP Physics the next semester. Aced every single one.
And its a shame because I had already began doing independant research on my own. I'd go to the Chair of the mathematics department, to speak to the most knowledgeable mathematician in the school, to ask em a simple question in complex analysis. I asked, how can I raise a number to a complex power, like what is 2^i?
The math department was stumped. two days later, not only did I know how to do such calculations, I independently derived the general case for any x raised to the power of a+bi. The math department was shocked.
In all my calculus classes, I was the only spanish kid, quiet, didnt have no friends, because all of the other kids were a bunch of racist white rich kids. They didnt like me much because I was the only kid in class for 2 straight semesters that got over 100% (like 104% final grade.) The next grade closest to mine was like a 94-95.
and what made these rich white kids hate on me, was that I'd openly talk about how I was a hardcore pothead, and I would get over 100% on an exam that I took literally blitzed out of my mind. and I didnt study at all, I smoked herb all day, while these kids studied their a$$es off and I still blew them out of the water. I am a pothead minority in my high school who knew more advanced mathematics than the whole department. Anyways, I went from a straight F student in 9th and 10th grade, got expelled from all Miami-Dade county public schools for getting arrested OUTSIDE of school on a fkin saturday night, and the beeotch a$$ cops went and snitched on me to the school.
Well sorry for getting off topic.
Out of the courses you listed, I suggest, analysis, complex analysis (Im a big fan of analysis, I have a like a natural talent for it), and topology, which I am DYING to take.
It depends also, how hardcore of the pure mathematician you are. I'm a Platonist along the lines of G.H. Hardy, I don't care about "applications", I love number theory for the simple fact that its the most beautiful, original creation of the human spirit, like Whitehead said.