Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers.

Roni Rekomaa for Quanta Magazine

Q&A

Kaisa Matomäki Dreams of Primes

Kaisa Matomäki has proved that properties of prime numbers over long intervals hold over short intervals as well. The techniques she uses have transformed the study of these elusive numbers.

Mathematical insights into how RNA helps viruses pull together their protein shells could guide future studies of viral behavior and function.
molecular biology

The Illuminating Geometry of Viruses

Mathematical insights into how RNA helps viruses pull together their protein shells could guide future studies of viral behavior and function.

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

Sex might help natural selection purge excessive mistakes from our genes.
molecular biology

Missing Mutations Suggest a Reason for Sex

Sex might help natural selection purge excessive mistakes from our genes.

A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.
geometry

Pentagon Tiling Proof Solves Century-Old Math Problem

A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane.

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The three young friends who devised the “happy ending” problem would become some of the most influential mathematicians of the 20th century, but were never able to solve their own puzzle. Now it receives its first big breakthrough.

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Daily bike rides, serendipitous interactions and long periods of solo thinking inspire this string cosmologist.
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