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A 150-year-old conundrum about how to group people has been solved, but many puzzles remain.

The Fields medalist Vladimir Voevodsky has died at 51. This 2015 article describes his computer-aided quest to eliminate human error and rewrite the century-old rules underlying all of mathematics.

A mathematician who has analyzed card shuffling for decades is tackling one final nemesis: “smooshing.”

A collaboration between mechanical engineers and mathematicians has revealed universal rules for how wrinkles form.

Two years ago, Yitang Zhang was virtually unknown. Now his surprise solution to a major problem in number theory has catapulted him to mathematical stardom. Where does he go from here?

Researchers are on the trail of a mysterious connection between number theory, algebra and string theory.

Mathematicians have solved the century-old triangulation conjecture, a major problem in topology that asks whether all spaces can be subdivided into smaller units.

Researchers have found a set of rules for imbuing flat surfaces with curvature, enabling them to form a virtually unlimited range of three-dimensional structures.

A year after tackling how close together prime number pairs can stay, mathematicians have now made the first major advance in 76 years in understanding how far apart primes can be.