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AnIntegral

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By the time i graduate i plan on having completed abstract algebra, analysis, ud linear algebra, and a few other electives that interest me (number theory, topology, etc). I'm also doing a physics minor purely for interest.

with the proofs class i am in right now i am finding myself putting A LOT of work into it. more than I expected. i know that i must do well in this class to succeed in any further math classes. To me, mathematics is absolutely amazing and I would rather do nothing else. However, I am worried as a enter more rigorous courses that success is not entirely, but more than ever, dependent on creativity rather than interest and determination. I know that these usually go together but I guess what I'm getting at is to ask whether or not you think i have a shot at grad school.

I plan on graduating with ~3.6 and hopefully a few research experiences. i am a female which might give me a slight preference (even though giving preferences for things like that is just stupid, i guess i might as well try to benefit from it). As of right now I really don't ever want to stop studying mathematics, ever in my life. I don't want a real job, a lot of money, kids,, family, none of it. I really just want to use my life to learn as much as I can. Anyways to conclude, I guess my question is although I am in general pretty good at math I feel like compared to some of my peers my natural mathematical talent is a little lacking. I have to study more and try harder. Are motivation and interest enough, or is something like a math PhD only attainable to those with motivation, interest, and a VERY strong natural mathematical talent?