It’s not often that a mathematics textbook is described as “gorgeous” or “a work of practical art.” But An Illustrated Theory of Numbers by Martin Weissman, associate professor of mathematics at UC ...

Number theory is the branch of mathematics that deals with the properties of whole numbers. Many number theorists are motivated purely by mathematical intrigue, and historically number theory had few ...

There are three kinds of prime numbers. The first is a solitary outlier: 2, the only even prime. After that, half the primes leave a remainder of 1 when divided by 4. The other half leave a remainder ...

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism. In 2018, as he prepared to be awarded the Fields Medal, math’s highest ...

Number theorist Peter Scholze, who became Germany’s youngest ever full professor aged 24, and geometrician Caucher Birkar—a Kurdish refugee—are among the winners of this year’s Fields Medals, the most ...