What is the hardest field of maths?

Question

Or the hardest question ever asked?

Answer 1

Any field is hard if you go far enough in it. The two that I found hardest were differential geometry and advanced group theory.

The hardest question ever asked - that's a wide-open field. There are numerous open problems in mathematics (statements that nobody has ever been able to prove or disprove). It's a bit hard to judge whether one is harder than another when by definition nobody has been able to do any of them. ;-)

Here's a simple open problem (Goldbach's conjecture): Prove or disprove the following: Every even integer greater than 2 can be written as the sum of two primes.

It seems to be true - it's been verified directly up to 10^18;
there are various results that "almost all" (for various senses of that phrase) even numbers greater than 2 can be written as the sum of two primes; and it's known that all even integers greater than 2 can be written as the sum of at most 6 primes. But nobody has actually managed to prove that it's always true. (Information in this paragraph comes from Wikipedia as per the below link.)

Answer 2

many people say calculu is the hardest but i dont think so im only a sophmore in highshool and i know uptill calculus III or several varaible calculus and i dont think it was hard at all...after that things are hard such as topology and physics math and theorys involved with quantum physics etc.

Answer 3

I am very good at math, but my hardest was calculus

Answer 4

Each person has his or her hardest field. Mine is topology, trying to understand multidimensional objects.
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Answer 5

It's a barley field in Ohio if you fail.

Answer 6

string theory...there is no answer !