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Mathematics

Juggler
Abstractions blog

The Mathematics of Juggling

Juggling has advanced enormously in recent decades, thanks in part to the mathematical study of possible patterns.

Abstractions blog

A Simple Visual Proof of a Powerful Idea

Ramsey’s theorem predicts a surprising (and useful) consistency in the organization of graphs. Here’s a simple visual proof of how it works.

Abstractions blog

How to Use a Sphere to Talk to Mars

To avoid garbled messages, mathematicians might translate them into geometric form.

Icosahedron
geometry

A New Path to Equal-Angle Lines

Equiangular lines are an elemental part of geometry. Mathematicians have discovered a tighter limit on the number of such lines that exist in every dimension.

Illustration of a salamander
applied math

How to Quantify (and Fight) Gerrymandering

Powerful new quantitative tools are now available to combat partisan bias in the drawing of voting districts.

Illustration: diver searching for new math
Quantized Columns

Quantum Questions Inspire New Math

In order to fully understand the quantum world, we may have to develop a new realm of mathematics.

Thomas Royen at his home in Schwalbach am Taunus, Germany.
statistics

A Long-Sought Proof, Found and Almost Lost

When a German retiree proved a famous long-standing mathematical conjecture, the response was underwhelming.

Illustration: Yves Meyer and his wavelet
Abstractions blog

Yves Meyer, Wavelet Expert, Wins Abel Prize

The French mathematician was cited “for his pivotal role in the development of the mathematical theory of wavelets.”

Abstractions blog

19 Women Leading Math and Physics

Top women in mathematics and physics discuss how they got to where they are — and why there aren’t more of them.