Geometry

By translating Keller’s conjecture into a computer-friendly search for a type of graph, researchers have finally resolved a problem about covering spaces with tiles.

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.

How to safely reopen offices, schools and other public spaces while keeping people six feet apart comes down to a question mathematicians have been studying for centuries.

While locked down due to COVID-19, Joshua Greene and Andrew Lobb figured out how to prove a version of the “rectangular peg problem.”

Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.

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

The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

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

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space.