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## Main Question or Discussion Point

I know that there are hundreds of posts exactly like this but posting my own just seems more satisfying. I am an undergrad sophmore at a pretty big university. I am majoring in mathematics. I've finished single variable, multi variable calculus, lower division linear algebra, probability, combinatorics, and diff eqs with all a's and b's. I'm currently in an into to proofs class and plan on getting at least a b.

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?

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?