Erica Klarreich

Contributing Writer

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

The Oracle of Arithmetic

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

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.
combinatorics

Simple Set Game Proof Stuns Mathematicians

A new series of papers has settled a long-standing question related to the popular game in which players seek patterned sets of three cards.

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.
geometry

Sphere Packing Solved in Higher Dimensions

The Ukrainian mathematician Maryna Viazovska has solved the centuries-old sphere-packing problem in dimensions eight and 24.

A previously unnoticed property of prime numbers seems to violate a long-standing assumption about how they behave.
number theory

Mathematicians Discover Prime Conspiracy

A previously unnoticed property of prime numbers seems to violate a long-standing assumption about how they behave.

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.
Computer Science

Landmark Algorithm Breaks 30-Year Impasse

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.

Three computer scientists have solved a problem central to a dozen far-flung mathematical fields.
Mathematics

‘Outsiders’ Crack 50-Year-Old Math Problem

Three computer scientists have solved a problem central to a dozen far-flung mathematical fields.

Using crowd-sourced and traditional mathematics research, Terence Tao has devised a solution to a long-standing problem posed by the legendary Paul Erdős.
number theory

A Magical Answer to an 80-Year-Old Puzzle

Using crowd-sourced and traditional mathematics research, Terence Tao has devised a solution to a long-standing problem posed by the legendary Paul Erdős.

For more than 50 years, the mathematician Neil Sloane has curated the authoritative collection of interesting and important integer sequences.
Q&A

The Connoisseur of Number Sequences

For more than 50 years, the mathematician Neil Sloane has curated the authoritative collection of interesting and important integer sequences.

A 150-year-old conundrum about how to group people has been solved, but many puzzles remain.
Mathematics

A Design Dilemma Solved, Minus Designs

A 150-year-old conundrum about how to group people has been solved, but many puzzles remain.