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When I was growing up, I knew I wanted to be a mathematician, but I had no idea what that entailed.

When you're concentrating hard, hours can fly by, and it's just you and a math problem.

A lot of the math that I do, it's not sort of premeditated. I talk online or with a colleague, and I get interested, and I just follow where it leads.

Most of what I do does not save lives.

I was never very good at school with... humanities... anything which was more a matter of opinion.

Math research is more like a marathon.

I remember having this vague idea that what mathematicians did was that some authority, someone, gave them problems to solve, and they just sort of solved them.

I always liked numbers.

I always liked situations where there were very clear rules of what to do.

You want to get to the top of the cliff. But that's not what you focus on immediately. You focus on the next ledge just beyond your reach, because you need to do one clever thing to get up there. And then, once you get there, you do it again. A lot of this is rather boring and not very glamorous. But you can't jump cliffs in a single bound.

It was traditional to not actually cash the prizes that Erdos did award while he was alive. People usually framed the cheque instead.

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