The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore.

The announcement follows Google's July 2024 claim that its AlphaProof and AlphaGeometry 2 models earned a silver medal ...

Computers can help ensure that mathematical proofs are correct, but translating traditional maths into a machine-readable format is an arduous task. Now, the latest generation of artificial ...

One of the biggest stories in science is quietly playing out in the world of abstract mathematics. Over the course of last ...

Students may wish to have one of the recommended textbooks: N L Biggs, Discrete Mathematics (2nd edn) or P J Eccles, An Introduction to Mathematical Reasoning, but these are not required. Further ...

In his article on mathematical proofs, Marcus du Sautoy raises the issue of the acceptability to mathematicians of computer-assisted proofs: “the possibility remains that a glitch is hiding ...

Computer scientists are buzzing about a new mathematical proof that proposes a quantum-entangled system sort of like the one described above. It seems to disprove a 44-year-old conjecture and ...

A glance at the current issue of Prospect: Mathematical proof as narrativeComputers make it possible for a mathematical proof to run as long as several thousand full-length novels combined. But ...

Computer-assisted of mathematical proofs are not new. For example, computers were used to confirm the so-called 'four color theorem.' In a short release, 'Proof by computer,' the American ...

A proof, if confirmed, could change the face of number theory, by, for example, providing a novel approach to proving Fermat’s last theorem, the legendary problem formulated by Pierre de Fermat ...