Researchers got a better look at chatbots’ thoughts, amateurs learned just how complicated simple systems can be, and codes ...

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of ...

Biologists used artificial intelligence to make discoveries about molecules and the brain, and overturned long-held ...

Three new species of superconductivity were spotted this year, illustrating the myriad ways electrons can join together to form a frictionless quantum soup.

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of ...

A look back at three of the biggest stories in physics this year, including evidence that dark energy may be weakening, the discovery of a supersolid, and new advances in quantum geometry. We ...