Years ago, an audacious Fields medalist outlined a sweeping program that, he claimed, could be used to resolve a major ...

Large language models such as ChatGPT come with filters to keep certain info from getting out. A new mathematical argument ...

The reason we can gracefully glide on an ice-skating rink or clumsily slip on an icy sidewalk is that the surface of ice is ...

Is language core to thought, or a separate process? For 15 years, the neuroscientist Ev Fedorenko has gathered evidence of a ...

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

Researchers have used metamathematical techniques to show that certain theorems that look superficially distinct are in fact ...

All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in general, research mathematicians don’t need to think about it ...

Tinkering at their desks with the mathematics of quantum space and time, physicists have discovered a puzzling conundrum. The arcane rules of quantum theory and gravity let them imagine many different ...