When does a crowd of people become unsafe? How well will Aston Villa do next season? When is it cost-effective to replace a kitchen? The answers may seem arbitrary but, to Nira Chamberlain, they lie ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

They had to throw away most of what it produced but there was gold among the garbage. Google DeepMind has used a large language model to crack a famous unsolved problem in pure mathematics. In a paper ...