Becoming a mathematician - how important is IQ?

You are confusing mathematical maturity and level of knowledge.
Those are not the same, and it is with respect to maturity that you already are on a university level, from what i've seen.
The professor (AND your regular teacher at school) can easily help you fill in the relevant bits of knowledge, and you'll master them easily enough.

Hopefully, there ARE weekend classes in higher maths.

In a somewhat longer perspective, your school might be willing to give you, say, a few hours off to attend classes at the university, if they are told from a professional there that you are mature for that level of learning (based on what he has learned about you).

As I mentioned to you, your first step is to have a meeting with your teacher, and see if he is willing to help you contact the university in a constructive manner.
He is the person around you best able to gauge your abilities at the moment, and give a convincing argument to the university why they should be interested in helping you.

By seeing,relative to other kids your age, what you are competent at, not the least what you've managed on your own.
THAT's the indicator for level of maturity.

And teachers have certainly an "instinct" for that, an instinct distilled from many years of experience, so that they know what they normally can expect from a 16-year old and what is extremely uncommon.

However, it might be that the most that you can hope for is a few conversations with professionals who can give you good,relevant reading tips.

That should be a realistic goal, and quite attractive in itself, agreed?

I believe that lectures at Danish universities are public and, in principle, open for all to listen to.
But it doesn't follow that your school will allow you attendance in school time, or that it is possible for the university to regard you as a regular student (for example, grading papers, allowing you to sit exam and so on).

But there is no harm in exploring such possibilities, is there?

PS:
Ask your Mom and Dad as well. Moms and Dads want to be involved in such decisions, that's their nature...

And, Levis2:
Reproducing theorems of Archimedes, setting up proper diff.eqs and developing a correct formula for arc lengths are NOT common among 16-year olds, it is quite unique, IMO.

So, you DO know a little bit of vectors already!

I'm not so sure you would find that part of the university maths particularly hard to follow.

Don't worry about your scores on the IQ Test. As Mark Twain puts it, there are three kinds of lies in this world - lies, dammed lies and statistics. If you have the passion to learn mathematics, then by all means follow it.

I'm sorry, but there is no internet IQ-test that is reliable. Not even the mensa-test. IQ-testing is a very standardized procedure, and anything not following that standard, can not be reliable.
I have serious doubts about the tests validity and unbiasedness...

Hello - im a 16 year old danish boy. I'm in what is equivalent in denmark to the 10th grade in the US, and i simply love math. It's funny though, since before i attended 10th grade, i dreaded math due to it being so boring - but i think that was due to the simple arithmetics we did in my previous school. Once i encountered a more pure math in 10th grade, i was sold!

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 shitty 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!

Hey Levis. Im a dane too, and i am currently on my first year of a bachelors degree in physics. I just took my exam in Linear Algebra today (i noticed your remark on how simple vector operations are :) ) and i feel that i can safely tell you, that if you are already this proficient with mathematics (just the fact that you know enough calculus to be constructing differential equations) and if you continue to challenge yourself like this until you reach your first year of university, you are going to have a pretty easy time here.

by the way, im studying at KU. What gymnasium are you at?