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, ...

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.

At first glance, Joan R. Ginther's story sounds almost too extraordinary to be true. The American mathematician, who earned a doctorate in statistics from Stanford University, won four major Texas ...

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

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., ...