Mathematicians Resurrect Hilbert’s 13th Problem
Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections.
The Crooked Geometry of Round Trips
Imagine if we lived on a cube-shaped Earth. How would you find the shortest path around the world?
New Quantum Algorithms Finally Crack Nonlinear Equations
Two teams found different ways for quantum computers to process nonlinear systems by first disguising them as linear ones.
The Mystery of Mistletoe’s Missing Genes
Mistletoes have all but shut down the powerhouses of their cells. Scientists are still trying to understand the plants’ unorthodox survival strategy.
How Claude Shannon Invented the Future
Today’s information age is only possible thanks to the groundbreaking work of a lone genius.
Astronomers Get Their Wish, and a Cosmic Crisis Gets Worse
We don’t know why the universe appears to be expanding faster than it should. New ultra-precise distance measurements have only intensified the problem.
The New History of the Milky Way
Over the past two years, astronomers have rewritten the story of our galaxy.
How the Slowest Computer Programs Illuminate Math’s Fundamental Limits
The goal of the “busy beaver” game is to find the longest-running computer program. Its pursuit has surprising connections to some of the most profound questions and concepts in mathematics.
After Centuries, a Seemingly Simple Math Problem Gets an Exact Solution
Mathematicians have long pondered the reach of a grazing goat tied to a fence, only finding approximate answers until now.
How Neutral Theory Altered Ideas About Biodiversity
The simple insight that most changes are random had a profound effect on genetics, evolution and ecology.