Mathematics

New findings are fueling an old suspicion that fundamental particles and forces spring from strange eight-part numbers called “octonions.”

By squeezing fluids into flat sheets, researchers can get a handle on the strange ways that turbulence feeds energy into a system instead of eating it away.

New results emerging from graph theory prove that the way a population is organized can guarantee the eventual triumph of natural selection — or permanently thwart it.

Being able to think like a physicist helps Carina Curto, a mathematician-turned-neuroscientist, pull insights about the human brain out of theoretical models.

How many colors do you need to color an infinite plane so that no points 1 unit apart are the same color?

A century ago, the great mathematician David Hilbert posed a probing question in pure mathematics. A recent advance in optimization theory is bringing Hilbert’s work into a world of self-driving cars.

Mathematicians have disproved the strong cosmic censorship conjecture. Their work answers one of the most important questions in the study of general relativity and changes the way we think about space-time.

When a crystallographer treated prime numbers as a system of particles, the resulting diffraction pattern created a new view of existing conjectures in number theory.

Zeta values seem to connect distant geometric worlds. In a new proof, mathematicians finally explain why.