A straightforward conjecture about runners moving around a track turns out to be equivalent to many complex mathematical ...

Microscopic crystals extracted from meteorites could help settle a debate about the birth of our patch of the Milky Way.

Baez called for the development of new mathematics — he called it “green” math — to better capture the workings of Earth’s biosphere and climate. For his part, he sought to apply category theory, a ...

Growing tissues can crack, break, and dissociate to form structures that can later withstand immense forces.

Growing tissues can crack, break, and dissociate to form structures that can later withstand immense forces. Clare Watson is a freelance science journalist based on the eastern coast of Australia.

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It’s surprisingly difficult to prove one of the most basic properties of a number: whether it can be written as a fraction. A broad new method can help settle this ancient question.

For 50 years, mathematicians have believed that the total number of real numbers is unknowable. A new proof suggests otherwise.

The Fields medalist Vladimir Voevodsky has died at 51. This 2015 article describes his computer-aided quest to eliminate human error and rewrite the century-old rules ...

Every Tuesday, editor in chief Samir Patel sits down with writers and editors to discuss our most thought-provoking stories in science and math. Audio editions of Quanta’s stories with Susan Valot ...