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Mathematics
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In New Math Proofs, Artificial Intelligence Plays to Win
A new computer program fashioned after artificial intelligence systems like AlphaGo has solved several open problems in combinatorics and graph theory.
How We Can Make Sense of Chaos
Dynamical systems can be chaotic and impossible to predict, but mathematicians have discovered tools to help understand them.
Play First and Lose: Zugzwang in Chess, Math and Pizzas
How to win games by going second and leaving your opponent with no good options.
Machine Learning Becomes a Mathematical Collaborator
Two recent collaborations between mathematicians and DeepMind demonstrate the potential of machine learning to help researchers generate new mathematical conjectures.
An Ancient Geometry Problem Falls to New Mathematical Techniques
Three mathematicians show, for the first time, how to form a square with the same area as a circle by cutting them into interchangeable pieces that can be visualized.
Mathematicians Prove 30-Year-Old André-Oort Conjecture
A team of mathematicians has solved an important question about how solutions to polynomial equations relate to sophisticated geometric objects called Shimura varieties.
Why Triangles Are Easy and Tetrahedra Are Hard
The triangle angle sum theorem makes working with triangles easy. What happens when you can’t rely on it?
How Infinite Series Reveal the Unity of Mathematics
Infinite sums are among the most underrated yet powerful concepts in mathematics, capable of linking concepts across math’s vast web.
Mathematicians Clear Hurdle in Quest to Decode Primes
Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.