With a newly discovered mathematical tool, researchers are hoping to gain unprecedented insight into the structure of complex knots.

With a newly discovered mathematical tool, researchers are hoping to gain unprecedented insight into the structure of complex knots.

After more than three centuries, a geometry problem that originated with a royal bet has been solved.

After more than three centuries, a geometry problem that originated with a royal bet has been solved.

After more than three centuries, a geometry problem that originated with a royal bet has been solved.

An attack on a fundamental proof technique reveals a glaring security issue for blockchains and other digital encryption schemes.

An attack on a fundamental proof technique reveals a glaring security issue for blockchains and other digital encryption schemes.

Trying to fit it all in? There’s a trick to it, even in 24 dimensions.

A new proof represents the culmination of a 65-year-old story about anomalous shapes in special dimensions.

A new proof represents the culmination of a 65-year-old story about anomalous shapes in special dimensions.

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program.

As the administration does its best to hide public records from the public, Wired magazine is stepping up to help stem the secrecy

Thousands of federal employees are facing job cuts—or working under growing uncertainty. Slate is offering them six months of Slate Plus for free.

Publishing books that explore the frontiers of science and math, illuminate our quest to understand the universe, and capture the wonder of discovery, for curious readers everywhere.

In the 1930s, prejudice and anti-science ideology destroyed the world’s leading math department, at Göttingen. It couldn't happen here, could it?

It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question.

A new proof about prime numbers illuminates the subtle relationship between addition and multiplication — and raises hopes for progress on the famous abc conjecture.

The mathematician Daniel Litt has driven social media users to distraction with a series of simple-seeming but counterintuitive probability puzzles.

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program.

Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers.

Exploring a potential way to immensely speed up algorithms for the group isomorphism problem.

New work attacks a long-standing barrier to understanding how prime numbers are distributed.