In three bursts of adaptive change, one species of cichlid fish in Lake Tanganyika gave rise to hundreds.

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

An unorthodox symbiotic theory about the origin of eukaryotes’ defining characteristic may soon be put to the test.

Has physics reached the limits of what we can discover — or are the possibilities only just beginning?

Physicists plan to leave no stone unturned, checking whether dark matter tickles different types of detectors, nudges starlight, warms planetary cores or even lodges in rocks.

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.