The race is on to develop an artificial intelligence that can do pure mathematics, and top mathematicians just threw down the gauntlet with an exam of actual, unsolved problems that are relevant to ...

Mathematicians explore ideas by proposing conjectures and proving them with theorems. For centuries, they built these proofs line by careful line, and most math researchers still work like that today.

In August 1998, Thomas Hales sent an e-mail to dozens of mathematicians in which he declared that he had used computers to prove a conjecture that had evaded certain confirmation for 400 years. 1 The ...

Is an artificial intelligence revolution about to transform mathematics? Some prominent mathematicians think so, thanks to automated tools that can help write proofs suddenly showing impressive leaps ...

Tao: Today there are a lot of very tedious types of mathematics that we don’t like doing, so we look for clever ways to get ...

Ananyo Bhattacharya is chief science writer at the London Institute for Mathematical Sciences and the author of The Man from the Future: The Visionary Ideas of John von Neumann. One of the biggest ...

Algebraic groups consist of elements, such as the whole numbers (−3, −2, −1, 0, 1, 2, 3 …), and an operation. The operation—for example, addition—combines ...