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Mathematics

Illustration of 826-vertex graph for "Decades-Old Graph Problem Yields to Amateur Mathematician"
graph theory

Decades-Old Graph Problem Yields to Amateur Mathematician

By making the first progress on the “chromatic number of the plane” problem in over 60 years, an anti-aging pundit has achieved mathematical immortality.

Photo of mathematician Donald Richards sitting in a Pennsylvania State University classroom.
Q&A

A Revealer of Secrets in the Data of Life and the Universe

The statistician Donald Richards lives to uncover subtle patterns hiding in real-world data.

Illustration for "Mathematicians Explore Mirror Link Between Two Geometric Worlds"
geometry

Mathematicians Explore Mirror Link Between Two Geometric Worlds

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

Illustration for Rock Paper Scissors
Quantized Academy

Why Winning in Rock-Paper-Scissors (and in Life) Isn’t Everything

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

Abstractions blog

The Infinite Primes and Museum Guard Proofs, Explained

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

520px photo of Robert Langlands
Abstractions blog

Robert Langlands, Mathematical Visionary, Wins the Abel Prize

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

Portrait of Mathematician Prof. Günter M. Ziegler
Q&A

In Search of God’s Perfect Proofs

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

Photograph of Albert Einstein in his office at the University of Berlin, published in the USA in 1920.
Abstractions blog

How Einstein Lost His Bearings, and With Them, General Relativity

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.

Animated illustration of a black hole in a cube of jelly
mathematical physics

To Test Einstein’s Equations, Poke a Black Hole

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.