Henry Yuen is developing a new mathematical language to describe problems whose inputs and outputs aren’t ordinary numbers.

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

They ask us to believe, for example, that the world we experience is fundamentally divided from the subatomic realm it’s built from. Or that there is a wild proliferation of parallel universes, or ...

Machine learning is helping neuroscientists organize vast quantities of cells’ genetic data in the latest neurobiological cartography effort.

If you were asked to picture how electrons move, you could be forgiven for imagining a stream of particles sluicing down a wire like water rushing through a pipe. After all, we often describe ...

Machine learning is helping neuroscientists organize vast quantities of cells’ genetic data in the latest neurobiological cartography effort.

If we want to understand complex constructions, such as ourselves, assembly theory says we must account for the entire history of how such entities came to be.

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 ...