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"The greatest problem for mathematicians now is probably the Riemann Hypothesis."
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"Mathematicians stand on each other's shoulders."

"Abel has left mathematicians enough to keep them busy for 500 years."

"Need we add that mathematicians themselves are not infallible?"

"As I say, there was this movement to try to bring philosophers and mathematicians together into an organization where they would talk to each other. An organization wasn't effective unless you had a journal. That's about all I know."

"Programming is one of the most difficult branches of applied mathematics; the poorer mathematicians had better remain pure mathematicians."

"Mathematics is written for mathematicians."

"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."

"Mathematicians do not study objects, but relations between objects."

"All musicians are subconsciously mathematicians."
Explore more quotes by Andrew Wiles

"Well, some mathematics problems look simple, and you try them for a year or so, and then you try them for a hundred years, and it turns out that they're extremely hard to solve."

"I was so obsessed by this problem that I was thinking about it all the time - when I woke up in the morning, when I went to sleep at night - and that went on for eight years."

"It's fine to work on any problem, so long as it generates interesting mathematics along the way - even if you don't solve it at the end of the day."

"Perhaps the methods I needed to complete the proof would not be invented for a hundred years. So even if I was on the right track, I could be living in the wrong century."

"We've lost something that's been with us for so long, and something that drew a lot of us into mathematics. But perhaps that's always the way with math problems, and we just have to find new ones to capture our attention."

"Then when I reached college I realized that many people had thought about the problem during the 18th and 19th centuries and so I studied those methods."

"I tried to fit it in with some previous broad conceptual understanding of some part of mathematics that would clarify the particular problem I was thinking about."
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