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

Exactly 200 years ago, a French engineer introduced an idea that would quantify the universe’s inexorable slide into decay.

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

Landmark results in geometry and number theory marked an exciting year for mathematics, at a time when advances in artificial ...

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

To make progress on one of number theory’s most elementary questions, two mathematicians turned to an unlikely source.

Bacteria are in, around and all over us. They thrive in almost every corner of the planet, from deep-sea hydrothermal vents to high up in the clouds, to the crevices of your ears, mouth, nose and gut.

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.