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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.

New research suggests physicists, computers and brains employ the same procedure to tease out important features from among other irrelevant bits of data.

A potent theory has emerged explaining a mysterious statistical law that arises throughout physics and mathematics.

Subhash Khot’s bold conjecture is helping mathematicians explore the precise limits of computation.

Martin Hairer was named a 2014 Fields medalist for an epic masterpiece in stochastic analysis that colleagues say “created a whole world.”