The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum ...

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.

A decade ago, Karen Lloyd discovered single-celled microbes living beneath the seafloor. Now she studies how they can survive ...

Patchen Barss is a Toronto-based science journalist and author. He has contributed to Scientific American, the BBC and Nautilus, among others.

New studies of the ‘platypus of materials’ help explain how their atoms arrange themselves into orderly, but nonrepeating, patterns.

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 ...

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.

An exploration of how artificial intelligence is changing what it means to do science and math, and what it means to be a scientist.

A small but enthusiastic group of neuroscientists is exhuming overlooked experiments and performing new ones to explore whether cells record past experiences — fundamentally challenging what memory is ...