2021 in Review
Latest Articles
What Is a Manifold?
In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.
In a First, AI Models Analyze Language As Well As a Human Expert
If language is what makes us human, what does it mean now that large language models have gained “metalinguistic” abilities?
Carlo Rovelli’s Radical Perspective on Reality
The theoretical physicist and best-selling author finds inspiration in politics and philosophy for rethinking space and time.
Shark Data Suggests Animals Scale Like Geometric Objects
Despite their wide variety of sizes, niches and shapes, sharks scale geometrically, pointing to possible fundamental constraints on evolution.
First Shape Found That Can’t Pass Through Itself
After more than three centuries, a geometry problem that originated with a royal bet has been solved.
The Game Theory of How Algorithms Can Drive Up Prices
Recent findings reveal that even simple pricing algorithms can make things more expensive.
How Soon Will the Seas Rise?
The uniquely vulnerable West Antarctic Ice Sheet holds enough water to raise global sea levels by 5 meters. But when that will happen — and how fast — is anything but settled.
How the Brain Moves From Waking Life to Sleep (and Back Again)
Neuroscientists probing the boundary between sleep and awareness are finding many types of liminal states, which help explain the sleep disorders that can result when sleep transitions go wrong.
The Hidden Math of Ocean Waves Crashes Into View
The math of even the simplest ocean waves is notoriously uncooperative. A team of Italian mathematicians has made major advances toward understanding it.