Mathematicians have broken through a long-standing barrier in the study of “minimizing surfaces,” which play an important ...

Marijn Heule turns mathematical statements into something like Sudoku puzzles, then has computers go to work on them. His ...

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of ...

A sudden flash of insight is a product of your brain. Neuroscientists track the neural activity underlying an “aha” and how ...

If language is what makes us human, what does it mean now that large language models have gained “metalinguistic” abilities?

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

The quest to find the longest-running simple computer program has identified a new champion. It’s physically impossible to write out the numbers involved using standard mathematical notation.

Quantum mechanics has at last been formulated exclusively with real numbers, bringing a mathematical puzzle at the heart of the theory into a new era of inquiry. “Anomalous” heat flow, which at first ...

t started as a fantasy, then a promise — inspired by biology and animated by the ideas of physicists — and grew to become a powerful research tool. Now artificial intelligence has evolved into ...