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My number 1 goal in this world - the thing that matters most to me - is becoming a mathematician. I want to take a phd in math, and teach at a university, and if im lucky, end up making a useful contribution. That's what matters most to me of all things atm.

But there's a problem - im not a child prodigy. I can't do topology or real analysis, and my iq is only 130 !!! Ever since i took that iq test, i have been so scared of not being able to make contributions to math, or even complete my degree in college. I'm afraid that it will get too complicated when i'm not that intelligent.

Funny stuff is though, that i have taught myself basic calculus, and can set up differential equations on the saltconcentration in, lets say a lake, based on differences in in-and-out flows of water etc. My teacher says he's never seen anyone like me in 9 years of teaching in high schools, but i presume he hasn't met any real good mathematicians lol .. I have also invented a formula by myself for calculating the area of a triangle if one only knows its sides. It looks this this;

A=1/2*c*squareroot(a^2-(c-(b^2+c^2-a^2)/2c)^2)

Where c has to be the biggest side in the triangle. The order of a and b doesnt matter :) All of this is easy stuff though ... nothing worthy a true mathematician :(

Now my question is, can i take a phd in math and become a mathematician, even though i'm not that intelligent? And if i'm barely able to do my phd, will i then be a garbagety and lousy matehmatician ?

it's a thought that takes up a lot of space in my head atm .. i'm so worried that i wont be able to take a degree or contribute to the art of mathematics :(

Help!