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

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 ...

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

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

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

In cellular automata, simple rules create elaborate structures. Now researchers can start with the structures and reverse-engineer the rules.

Joseph Howlett is a math writer for Quanta Magazine. His articles have been published Scientific American, The San Francisco Chronicle and Gizmodo, among other places. He has a Ph.D.

For three decades, researchers hunted in vain for new elementary particles that would have explained why nature looks the way it does. As physicists confront that failure, they’re reexamining a ...

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