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

By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

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

The supercollider is now being used to explore quantum phenomena, including a “magic” form of quantum entanglement.

The newly described microbe represents a world of parasitic, intercellular biodiversity only beginning to be revealed by ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms.

Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important role in both math and physics. In the mid-19th century, the Belgian physicist ...

Tinkering at their desks with the mathematics of quantum space and time, physicists have discovered a puzzling conundrum. The arcane rules of quantum theory and gravity let them imagine many different ...

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...