What's up in
Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.
Einstein’s equations describe three canonical configurations of space-time. Now one of these three — important in the study of quantum gravity — has been shown to be inherently unstable.
Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.
The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.
A landmark proof in computer science has also solved an important problem called the Connes embedding conjecture. Mathematicians are working to understand it.
Mathematicians have figured out how to expand the reach of a mysterious bridge connecting two distant continents in the mathematical world.