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.

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

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

Dijkstra’s algorithm was long thought to be the most efficient way to find a graph’s best routes. Researchers have now proved that it’s “universally optimal.” The Quanta Newsletter ...

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 ...

Physicists have deduced subtle hints that the mysterious “dark” energy that drives the universe to expand faster and faster may be slightly weakening with time. It’s a finding that has the potential ...

Sitting outside a Catholic church on the French Riviera, Carlo Rovelli jutted his head forward and backward, imitating a pigeon trotting by. Pigeons bob their heads, he told me, not only to stabilize ...

Studies of the simplest possible clocks have revealed their fundamental limitations — as well as insights into the nature of time itself. In 2013, a masters student in physics named Paul Erker went ...