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 ...

In mathematics, ubiquitous objects called groups display nearly magical powers. Though they’re defined by just a few rules, groups help illuminate an astonishing range of mysteries. They can tell you ...

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

Sitting outside a Catholic church on the French Riviera, Carlo Rovelli jutted his head forward and backward, imitating a pigeon trotting by. Pigeons bob their heads, he told me, not only to stabilize ...

The physics of mixing water layers — an interplay of wind, climate and more — makes lakes work. When it stops, impacts can ripple across an ecosystem. The uniquely vulnerable West Antarctic Ice Sheet ...

The best perk of Alberto Maspero’s job, he says, is the view from his window. Situated on a hill above the ancient port city of Trieste, Italy, his office at the International School for Advanced ...