Mathematics

Mathematicians have struggled to prove Falconer’s Conjecture, a simple, but far-reaching, hypothesis about the distances between points. They’re finally getting close.

Mathematicians have illuminated what sets of points can look like if the distances between them are all whole numbers.

Mathematicians are using topological abstractions to find places where it’s hard to vote.

Recursion builds bridges between ideas from across different math classes and illustrates the power of creative mathematical thinking.

The French mathematician spent decades developing a set of tools now widely used for taming random processes.

The recipient of the 2024 Crafoord Prize in Mathematics discusses math as art, math as language, and math as abstract thought.

Mathematicians are working to fully explain unusual behaviors uncovered using artificial intelligence.

Simple rules in simple settings continue to puzzle mathematicians, even as they devise intricate tools to analyze them.

Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction.