For decades, mathematicians have struggled to understand matrices that reflect both order and randomness, like those that ...

The new science of “emergent misalignment” explores how PG-13 training data — insecure code, superstitious numbers or even ...

The effects of insufficient water are felt by every cell in the body, but it’s the brain that manifests our experience of ...

Strong new evidence suggests that primordial material from the planet’s center is somehow making its way out. Continent-size ...

A canonical problem in computer science is to find the shortest route to every point in a network. A new approach beats the classic algorithm taught in textbooks.

After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture.

Quanta’s award-winning coverage of computational complexity, quantum computing, artificial intelligence, cryptography and more.

The “sensitivity” conjecture stumped many top computer scientists, yet the new proof is so simple that one researcher summed it up in a single tweet.

Results from neural networks support the idea that brains are “prediction machines” — and that they work that way to conserve energy.

His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.

Tadashi Tokieda discovers new physical phenomena by looking at the everyday world with the eyes of a child.