Mathematicians Tame Rogue Waves, Lighting Up Future of LEDs
The mathematician Svitlana Mayboroda and collaborators have figured out how to predict the behavior of electrons — a mathematical discovery that could have immediate practical effects.
Why Mathematicians Like to Classify Things
It’s “a definitive study for all time, like writing the final book,” says one researcher who’s mapping out new classes of geometric structures.
New Shapes Solve Infinite Pool-Table Problem
Two “rare jewels” have illuminated a mysterious multidimensional object that connects a huge variety of mathematical work.
Kaisa Matomäki Dreams of Primes
Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers.
The Tricky Translation of Mathematical Ideas
Big advances in math can happen when mathematicians move ideas into areas where they seem like they shouldn’t belong.
A Path Less Taken to the Peak of the Math World
June Huh thought he had no talent for math until a chance meeting with a legendary mind. A decade later, his unorthodox approach to mathematical thinking has led to major breakthroughs.
Cash for Math: The Erdős Prizes Live On
Paul Erdős placed small bounties on hundreds of unsolved math problems. Over the past 20 years, only a handful have been claimed.
A Puzzle of Clever Connections Nears a Happy End
The three young friends who devised the “happy ending” problem would become some of the most influential mathematicians of the 20th century, but were never able to solve their own puzzle. Now it receives its first big breakthrough.
A Simple Visual Proof of a Powerful Idea
Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.