Geometry

A little high school geometry can help you understand the basic math behind movie recommendation engines.

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

A founder of modern geometric analysis who produced “some of the most dramatic advances in mathematics in the last 40 years,” Uhlenbeck is the first woman to be awarded this top honor.

A pair of mathematicians has built on an obscure, 30-year-old mathematical theory to show that soap-filmlike minimal surfaces appear abundantly in a wide range of shapes.

A new proof shows why an uncountably infinite number of Möbius strips will never fit into a three-dimensional space.

Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.

In a major mathematical achievement, a small team of researchers has proven Zimmer’s conjecture.

In math, sometimes the most common things are the hardest to find.

An upstart field that simplifies complex shapes is letting mathematicians understand how those shapes depend on the space in which you visualize them.