Andrew Wiles

There's a certain beauty in the abstractness of mathematics, but it's also a very practical subject.

The moment you think you've got it, you realize you haven't. That's the nature of research.

You have to be prepared to fail, and fail often, before you succeed.

The feeling of finally solving a problem that has eluded you for years is indescribable.

I spent seven years of my life working on this problem, and there were times when I thought I would never solve it.

Mathematics is a language, and like any language, it takes time and effort to master.

The most important thing in mathematics is to ask the right questions.

There's a certain elegance to a well-constructed proof that is almost artistic.

I believe that mathematics is a creative art, just like music or painting.

The history of mathematics is full of examples of problems that were thought to be unsolvable, only to be solved by a new generation of mathematicians.

The beauty of mathematics lies in its universality. It's a language that can be understood by anyone, regardless of their background.

I think it's important for mathematicians to communicate their work to a wider audience, so that more people can appreciate the beauty and power of mathematics.

The process of mathematical discovery is often messy and unpredictable, but the end result is always elegant and precise.

Fermat's Last Theorem was a challenge to the entire mathematical community, and it inspired generations of mathematicians to try and solve it.

The feeling of being on the verge of a breakthrough is exhilarating, but also terrifying.

I think it's important for young mathematicians to be exposed to a wide range of mathematical ideas, so that they can find their own path.

The greatest challenge in mathematics is not to find the answer, but to understand the question.

Mathematics is a journey of discovery, and every step of the journey is important.

The joy of mathematics comes from the struggle, from the effort you put in to understand something new.

I never thought I would be the one to solve Fermat's Last Theorem, but I'm glad I persevered.