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 ...

Explore Quanta’s artificial intelligence coverage.AI may sound like a human, but that doesn’t mean that AI learns like a human. In this episode, Ellie Pavlick explains why understanding how LLMs can ...

To tell truth from fiction, start with quantitative thinking, argues the mathematician Rebecca Goldin.

“I find it really amazing how far into the future they predict” a system’s chaotic evolution, said Herbert Jaeger, a professor of computational science at Jacobs University in Bremen, Germany. The ...

Edward Witten reflects on the meaning of dualities in physics and math, emergent space-time, and the pursuit of a complete description of nature.

A group of nine mathematicians has proved the geometric Langlands conjecture, a key component of one of the most sweeping paradigms in modern mathematics. The proof represents the culmination of three ...

When Andrew Wiles proved Fermat’s Last Theorem in the early 1990s, his proof was hailed as a monumental step forward not just for mathematicians but for all of humanity. The theorem is simplicity ...