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applied math

Art for "A Classical Math Problem Gets Pulled Into the Modern World"
algorithms

A Classical Math Problem Gets Pulled Into the Modern World

A century ago, the great mathematician David Hilbert posed a probing question in pure mathematics. A recent advance in optimization theory is bringing Hilbert’s work into a world of self-driving cars.

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.

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.

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.

Quantized Columns

Using Mathematics to Repair a Masterpiece

The author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art.

Quantized Columns

Big Data’s Mathematical Mysteries

Machine learning works spectacularly well, but mathematicians aren’t quite sure why.

Q&A

A ‘Rebel’ Without a Ph.D.

A conversation with the mathematical physicist Freeman Dyson on quantum electrodynamics, climate change and his latest pet project.

Photograph of Saturn and its moons.
Mathematics

A New Tool to Help Mathematicians Pack

Improvements in how densely spheres and other shapes can be packed together could lead to advances in materials science, deep space communication and theoretical physics.