Sebastien Bubeck of OpenAI says “yes, nonsofic groups exist”—as an example of “many new beautiful results” from Astra, next major OpenAI model. OpenAI published a page and PDF detailing ten advances ...

Alpöge’s discovery is the latest in a string of high-profile mathematical breakthroughs made by large language models. Recent examples include OpenAI’s disproof of the unit distance conjecture, and ...

The idea that artificial intelligence can “reason” is more intuitive than ever. But intuitions can be wrong, and the science is far from settled.

But from the perspective of research mathematicians, and especially young people who are pursuing a Ph.D. in mathematics, ...

The announcement sent waves through social media and the inner circles of mathematics, as the latest in a series of AI-driven ...

Fields Medal 2026 winners Hong Wang, Yu Deng, John Pardon, and Jacob Tsimerman each solved problems that had stood open for ...

Claude Mythos Preview discovered new attacks in testing against weakened cryptographic algorithms, which protect online ...

Shayan Oveis Gharan has won the Abacus Medal for using tools from across mathematics to boost the power of algorithms.

The company says it has found a new window into how its models arrive at answers. We spoke with senior editor Will Douglas Heaven about it.

ABSTRACT: Darcy’s law is the fundamental equation describing the flow of a fluid through a porous medium. Combined with the principle of mass conservation, it leads to the diffusion Equation (e.g., ...