Andrew Wiles

I had this feeling that I was on the right track, but I couldn't quite put my finger on it.

It was the most important mathematical problem in the world, and I just had to solve it.

I spent a lot of time just staring at the equations, trying to find a pattern, a way in.

I think every mathematician dreams of solving a problem like this.

It's a very solitary pursuit, but there's a great satisfaction in it.

I had to be absolutely sure that every step was correct.

The moment of discovery is exhilarating, but it's also terrifying.

I couldn't have done it without the support of my family.

Mathematics is about understanding the underlying structure of the universe.

I never gave up hope, even when things looked bleak.

The error was a shock, but it also gave me a new perspective.

It was a very intense period, but I knew I had to see it through.

Sometimes you have to step back and look at the problem from a different angle.

The feeling of finally proving it was indescribable.

I think it's important for young mathematicians to pursue their passions.

I was driven by a desire to understand, to make sense of things.

The journey was long and arduous, but the destination was worth it.

I believe that mathematics can reveal profound truths about the universe.

It's a privilege to be able to work on such beautiful problems.

The key is to keep asking questions, to keep pushing the boundaries.