What's up in

A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?

Odd enough to potentially model the strangeness of the physical world, complex numbers with “imaginary” components are rooted in the familiar.

In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.

Two mathematicians have found what they say is a hole at the heart of a proof that has convulsed the mathematics community for nearly six years.

In math, sometimes the most common things are the hardest to find.

The 19th-century discovery of numbers called “quaternions” gave mathematicians a way to describe rotations in space, forever changing physics and math.

An upstart field that simplifies complex shapes is letting mathematicians understand how those shapes depend on the space in which you visualize them.

Quanta’s In Theory video series returns with an exploration of a mysterious mathematical pattern found throughout nature.

Studying the structure of existing friendships in your community can help you forge the best connections when forming a new circle of friends.