Juggling has advanced enormously in recent decades, thanks in part to the mathematical study of possible patterns.

A new paper claims that a common digital security system could be tweaked to withstand attacks even from a powerful quantum computer.

A system of seven Earth-like exoplanets appeared to be unstable. Now their orbits have been rewritten in the music of the spheres.

Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.

To avoid garbled messages, mathematicians might translate them into geometric form.

Physicists are attempting to map the distribution of the prime numbers to the energy levels of a particular quantum system.

The French mathematician was cited “for his pivotal role in the development of the mathematical theory of wavelets.”

Top women in mathematics and physics discuss how they got to where they are—and why there aren’t more of them.

19th-century mathematicians thought the “roots of unity” were the key to solving Fermat’s Last Theorem. Then they discovered a fatal flaw.

The circadian clock is in nearly every cell, and researchers have untangled many of its secrets. But sleep has been harder to pin down.

The simple Möbius strip illustrates a deep mathematical challenge that has long tormented the field of symplectic geometry.

Without viruses, we might never have evolved.

Life might have originated in droplets that behave surprisingly like living cells.

László Babai has fixed the flaw in his retracted claim.

The ancient study of an object’s curvature is guiding mathematicians toward a new understanding of simple equations.

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.