“Our goal was to build a clear mathematical bridge between abstract algebra and the experience of listening to music,” said study co-author Olga Ibragimova. “When we think of melodies as shapes we can ...

Five Carnegie Mellon University faculty members are among the 126 recipients of 2026 Sloan Research Fellowships, which honor early career scholars whose achievements put them among the best scientific ...

A marriage of formal methods and LLMs seeks to harness the strengths of both.

This year has seen some amazing advancements in fundamental mathematics. Researchers have made breakthroughs in geometry, topology, chaos theory, and more. And a startling three of our top 10 ...

For the past several years, America has been using its young people as lab rats in a sweeping, if not exactly thought-out, education experiment. Schools across the country have been lowering standards ...

It's highly recommended to recruit Aza before completing this quest. Aza's companion quest requires you to clear out the N-Ray Range anyway, so you can kill two birds with one stone. Acquire the N-Ray ...

The original version of this story appeared in Quanta Magazine. In 1974, five years before he wrote his Pulitzer Prize–winning book Gödel, Escher, Bach: An Eternal Golden Braid, Douglas Hofstadter was ...

The “Discrete Mathematics” quest in The Outer Worlds 2 comes with a hefty stack of obstacles, starting with its pickup point. You’ll have to avoid explosives, defeat invisible enemies, and solve a ...

The original version of this story appeared in Quanta Magazine. David Bessis was drawn to mathematics for the same reason that many people are driven away: He didn’t understand how it worked. Unlike ...