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.

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 ...

Cosmologists have spent decades striving to understand why our universe is so stunningly vanilla. Not only is it smooth and flat as far as we can see, but it’s also expanding at an ever-so-slowly ...

Watanabe invented a new way of distinguishing shapes on his way to solving the last open case of the Smale conjecture, a central question in topology about symmetries of the sphere. In a burst of work ...

One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer science. How a Problem About Pigeons Powers Complexity Theory When pigeons ...

Over the past century, quantum field theory has proved to be the single most sweeping and successful physical theory ever invented. It is an umbrella term that encompasses many specific quantum field ...