The Navier-Stokes equations describe simple, everyday phenomena, like water flowing from a garden hose, yet they provide a million-dollar mathematical challenge.

The mathematician Richard Schwartz finds the hidden depth lurking in simple mathematical puzzles.

Two mathematicians prove that under certain extreme conditions, the Navier-Stokes equations output nonsense.

A famously difficult mathematical problem resisted solution for over 40 years. Mathematicians have finally resolved it by following an intuition that links number theory to physics.

An eminent mathematician reveals that his advances in the study of millennia-old mathematical questions owe to concepts derived from physics.

To efficiently analyze a firehose of data, scientists first have to break big numbers into bits.

A new version of AlphaGo needed no human instruction to figure out how to clobber the best Go player in the world — itself.

Voevodsky’s friends remember him as constitutionally unable to compromise on the truth — a quality that led him to produce some of the most important mathematics of the 20th century.

Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.