Mathematics

Decades after physicists happened upon a stunning mathematical coincidence, researchers are getting close to understanding the link between two seemingly unrelated geometric universes.

What does John Nash’s game theory equilibrium concept look like in Rock-Paper-Scissors?

A simple, step-by-step breakdown of two “perfect” math proofs.

Generations of researchers have pursued his “Langlands program,” which seeks to create a grand unified theory of mathematics.

The mathematicians Günter Ziegler and Martin Aigner have spent the past 20 years collecting some of the most beautiful proofs in mathematics.

By 1913, Albert Einstein had nearly completed general relativity. But a simple mistake set him on a tortured, two-year reconsideration of his theory. Today, mathematicians still grapple with the issues he confronted.

Two teams of researchers have made significant progress toward proving the black hole stability conjecture, a critical mathematical test of Einstein’s theory of general relativity.

A new study challenges one of the most celebrated and controversial ideas in network science.

Simple math shows how widespread vaccination can disrupt the exponential spread of disease and prevent epidemics.