Mathematics

By mathematically proving how individual molecules create the complex motion of fluids, three mathematicians have illuminated why time can’t flow in reverse.

By extending the scope of the key insight behind Fermat’s Last Theorem, four mathematicians have made great strides toward building a “grand unified theory” of math.

A new proof illuminates the hidden patterns that emerge when addition becomes impossible.

Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales.

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

Mathematicians have started to prepare for a profound shift in what it means to do math.

Exploring the distant universe, the insides of cells, the abstractions of math, the complexity of information itself and much more, The Quanta Podcast will be a tour of the frontier between the known and the unknown.

According to mathematical legend, Peter Sarnak and Noga Alon made a bet about optimal graphs in the late 1980s. They’ve now both been proved wrong.

The mathematician Tai-Danae Bradley is using category theory to try to understand both human and AI-generated language.