Mathematics

At 21, Ashwin Sah has produced a body of work that senior mathematicians say is nearly unprecedented for a college student.

A numerical puzzle, a geometric puzzle and a game of random patterns — all with connections to the legendary mathematician — elicited an enthusiastic response from readers.

An exercise in pure mathematics has led to a wide-ranging theory of how the world comes together.

Struggling with math problems that can’t be solved helps us better understand the ones we can.

Bryna Kra searches for the patterns in sequences of numbers that explain how complicated dynamical systems evolve over time.

A cryptographic master tool called indistinguishability obfuscation has for years seemed too good to be true. Three researchers have figured out that it can work.

For almost a century, the anonymous members of Nicolas Bourbaki have written books intended as pure expressions of mathematical thought.

David Conlon and Asaf Ferber have raised the lower bound for multicolor “Ramsey numbers,” which quantify how big graphs can get before patterns inevitably emerge.

From crumpled paper to termite mounds to three-sided coins, L. Mahadevan has turned the whole world into his laboratory.