Erica Klarreich

Contributing Correspondent

Federico Ardila

A Mathematician Who Dances to the Joys and Sorrows of Discovery

Federico Ardila opens up about his journey as a mathematician, teacher, Colombian transplant, DJ and creator of mathematical spaces.

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.

Nash equilibrium maze
Game Theory

In Game Theory, No Clear Path to Equilibrium

John Nash’s notion of equilibrium is ubiquitous in economic theory, but a new study shows that it is often impossible to reach efficiently.

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: boxing gloves
Abstractions blog

Graph Isomorphism Vanquished — Again

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.

Illustration: boxing glove & graph
Abstractions blog

Complexity Theory Problem Strikes Back

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.

Abstractions blog

All Is Not Fair in Cake-Cutting and Math

When divvying something up, there’s more than one way to define what’s fair.


How to Cut Cake Fairly and Finally Eat It Too

Computer scientists have come up with a bounded algorithm that can fairly divide a cake among any number of people.


The Oracle of Arithmetic

At 28, Peter Scholze is uncovering deep connections between number theory and geometry.