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The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.

Mathematicians have had a hard time finding commonalities in large groups of random shapes — until recently.

The physicist-mathematician Miranda Cheng is working to harness a mysterious connection between string theory, algebra and number theory.

Researchers have uncovered deep connections among different types of random objects, illuminating hidden geometric structures.

Scientists are exploring a mysterious pattern, found in birds’ eyes, boxes of marbles and other surprising places, that is neither regular nor random.

Peter Scholze is a favorite to win one of the highest honors in mathematics for his contributions in number theory and geometry.

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.

A surprising new proof is helping to connect the mathematics of infinity to the physical world.