DeepMind’s AlphaProof system solved four out of six problems at the 2024 International Mathematical Olympiad, generating ...

Artificial intelligence has formally verified the prizewinning proof that solved the sphere packing problem in eight dimensions, a result closely tied to Maryna Viazovska’s Fields Medal. The ...

Number theorist Andrew Granville on what mathematics really is — and why objectivity is never quite within reach. In 2012, the mathematician Shinichi Mochizuki claimed he had solved the abc conjecture ...

After an eight-year struggle, embattled Japanese mathematician Shinichi Mochizuki has finally received some validation. His 600-page proof of the abc conjecture, one of the biggest open problems in ...

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 Mathematical ...

There’s a curious contradiction at the heart of today’s most capable AI models that purport to “reason”: They can solve routine math problems with accuracy, yet when faced with formulating deeper ...

Last June 23 marked the 25th anniversary of the electrifying announcement by Andrew Wiles that he had proved Fermat’s Last Theorem, solving a 350-year-old problem, the most famous in mathematics. The ...

A research team has provided irrefutable proof that certain spherical vortices exist in a stable state. In a remarkable breakthrough in the field of Mathematical Science, Professor Kyudong Choi from ...