I get out of bed. I walk through the dimly lit hallway, thinking of what’s in my fridge and what I should have for breakfast. With no real effort, I’ve navigated my environment, accessed my memory, ...

The biggest breakthrough in modern theoretical physics is the discovery that gravity can collapse the dimensions of space.

The late Ronald Graham wore two hats. He was a renowned mathematician, at one time president of the American Mathematical Society. He was also a serious juggler, and president of the International ...

In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...

A straightforward conjecture about runners moving around a track turns out to be equivalent to many complex mathematical questions. Three new proofs mark the first significant progress on the problem ...

Two mathematicians have proved that a straightforward question — how hard is it to untie a knot? — has a complicated answer. Three high schoolers and their mentor revisited a century-old theorem to ...

According to Einstein’s theory of gravity, black holes have only a small handful of distinguishing characteristics. Quantum theory implies they may have more. Now an experimental search finds that any ...

Pushed down to a certain scale, the laws of physics seem to fall apart. Astrid Eichhorn, a leader in an area of study called asymptotic safety, thinks we just need to push a little further.

The biggest breakthrough in modern theoretical physics is the discovery that gravity can collapse the dimensions of space. Physicists don’t yet understand the implications. Black Holes or Black Hole ...

A simple scaling law brings order to the chaos of flowing water, rock, and sediment. New findings have extended the law even further. We Know Simple Fluids Can Flow. Turns Out, Some Can Fracture.