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 ...

To better understand machine learning algorithms, Lenka Zdeborová treats them like physical materials.

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

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 ...

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial intelligence are starting to transform the subject’s future. The Quanta ...

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 ...

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 ...

Physicists discovered strange supersolids, constructed new kinds of superconductors, and continued to make the case that the ...