Kevin Hartnett

Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.

Modern mathematics relies on collaboration and travel. COVID-19 is making it increasingly difficult.

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.

When 50 mathematicians spend a week in the woods, there’s no telling what will happen. And that’s the point.

“Rainbow colorings” recently led to a new proof. It’s not the first time they’ve come in handy.

Computer scientists established a new boundary on computationally verifiable knowledge. In doing so, they solved major open problems in quantum mechanics and pure mathematics.

Mathematicians have proved that copies of smaller graphs can always be used to perfectly cover larger ones.