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Mathematics

Gerrymandering illustration by Scott Martin for Quanta Magazine
Quantized Academy

The Math Behind Gerrymandering and Wasted Votes

Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.

Vladimir Voevodsky
Abstractions blog

Visionary Mathematician Vladimir Voevodsky Dies at 51

Voevodsky’s friends remember him as constitutionally unable to compromise on the truth — a quality that led him to produce some of the most important mathematics of the 20th century.

Pariah moonshine
number theory

Mathematicians Find Moonshine Link for Pariah Symmetries

A type of symmetry so unusual that it was called a “pariah” turns out to have deep connections to number theory.

Measuring tapes
infinity

Mathematicians Measure Infinities and Find They’re Equal

Two mathematicians have proved that two different infinities are equal in size, settling a long-standing question. Their proof rests on a surprising link between the sizes of infinities and the complexity of mathematical theories.

Rebecca Goldin
Q&A

Why Math Is the Best Way to Make Sense of the World

To tell truth from fiction, start with quantitative thinking, argues the mathematician Rebecca Goldin.

Lucy Reading-Ikkanda/Quanta Magazine
Abstractions blog

The Math That Promises to Make the World Brighter

The color of LED lights is controlled by a clumsy process. A new mathematical discovery may make it easier for us to get the hues we want.

Svitlana Mayboroda
mathematical physics

Mathematicians Tame Rogue Waves, Lighting Up Future of LEDs

The mathematician Svitlana Mayboroda and collaborators have figured out how to predict the behavior of electrons — a mathematical discovery that could have immediate practical effects.

fidget spinners
Quantized Academy

Symmetry, Algebra and the Monster

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.

Classes of geometric structures
Abstractions blog

Why Mathematicians Like to Classify Things

It’s “a definitive study for all time, like writing the final book,” says one researcher who’s mapping out new classes of geometric structures.