Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.
Ana Caraiani seeks to unify mathematics through her work on the ambitious Langlands program.
A pair of researchers has shown that trying to classify groups of numbers called “torsion-free abelian groups” is as hard as it can possibly be.
Jordan Ellenberg enjoys studying — and writing about — the mathematics underlying everyday phenomena.
Researchers have proved a special case of the Erdős-Hajnal conjecture, which shows what happens in graphs that exclude anything resembling a pentagon.
Despite finding no specific examples, researchers have proved the existence of a pervasive kind of prime number so delicate that changing any of its infinite digits renders it composite.
Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now.
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