Mathematics

Three years ago, a solitary mathematician released an impenetrable proof of the famous abc conjecture. At a recent conference dedicated to the work, optimism mixed with bafflement.

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.

A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians.

Machine learning works spectacularly well, but mathematicians aren’t quite sure why.

Three computer scientists have solved a problem central to a dozen far-flung mathematical fields.

Scientists are homing in on a warning signal that arises in complex systems like ecological food webs, the brain and the Earth’s climate. Could it help prevent future catastrophes?

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof.

By examining regions shared between some of nature's most variable genes, malaria researchers are piecing together an understanding of a deadly parasite.

Complex natural systems defy analysis using a standard mathematical toolkit, so one ecologist is throwing out the equations.