Mathematics

Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics.

John Urschel, who retired from playing professional football with the Baltimore Ravens to become a mathematician, talks to host Steven Strogatz about the fascinations of graph theory that lured him away from the NFL.

Mathematicians have proved that copies of smaller graphs can always be used to perfectly cover larger ones.

The mathematical biologist Corina Tarnita explains to host Steven Strogatz how quantitative modeling solved the mystery of fairy circles.

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others.

By exploiting randomness, three mathematicians have proved an elegant law that underlies the chaotic motion of turbulent systems.

The mathematician Alex Kontorovich speaks with host Steven Strogatz about regaining his creative freedom in an intimidating collaboration and about the pleasures of spherical geometry.

As Scarlett Howard taught honeybees to do arithmetic, they showed her how fundamental numbers might be to all brains.