John Nash’s notion of equilibrium is ubiquitous in economic theory, but a new study shows that it is often impossible to reach efficiently.

Powerful new quantitative tools are now available to combat partisan bias in the drawing of voting districts.

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.

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

When divvying something up, there’s more than one way to define what’s fair.

Computer scientists have come up with a bounded algorithm that can fairly divide a cake among any number of people.

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.