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.

Herd immunity differs from place to place, and many factors influence how it’s calculated.

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

Representation theory was initially dismissed. Today, it’s central to much of mathematics.

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.