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Mathematics

artificial intelligence

Foundations Built for a General Theory of Neural Networks

January 31, 2019

Neural networks can be as unpredictable as they are powerful. Now mathematicians are beginning to reveal how a neural network’s form will influence its function.

Portrait of Carolina Araujo at IMPA in Brazil
Q&A

A Movement to Close the Gender Gap in Mathematics

January 22, 2019

The Brazilian mathematician Carolina Araujo, who calls herself “a bit of an anarchist,” is organizing meetings and building a support network to study and solve the problems women face in mathematics.

Art for "Unscrambling the Hidden Secrets of Superpermutations"
Quantized Academy

Unscrambling the Hidden Secrets of Superpermutations

January 16, 2019

A science fiction novelist and an internet commenter made breakthroughs on a longstanding problem about the number of ways you can arrange a set of items. What did they discover?

Mathematics - abstract illustration
2018 in Review

The Year in Math and Computer Science

December 21, 2018

Several mathematicians under the age of 30 left their marks all over the field, and amateur problem-solvers of all ages made significant contributions to long-dormant puzzles.

Illustration of lock with polynomials surrounding it
Abstractions blog

Mathematicians Seal Back Door to Breaking RSA Encryption

December 17, 2018

Digital security depends on the difficulty of factoring large numbers. A new proof shows why one method for breaking digital encryption won’t work.

Art for "In the Universe of Equations, Virtually All Are Prime"
number theory

In the Universe of Equations, Virtually All Are Prime

December 10, 2018

Equations, like numbers, cannot always be split into simpler elements.

Photo of Tadashi Tokieda
Q&A

A Collector of Math and Physics Surprises

November 27, 2018

Tadashi Tokieda discovers new physical phenomena by looking at the everyday world with the eyes of a child.

Art for "With Ruler and Compass, Amateur Mathematician Tames Fiendish Problem"
geometry

Amateur Mathematician Finds Smallest Universal Cover

November 15, 2018

Through exacting geometric calculations, Philip Gibbs has found the smallest known cover for any possible shape.

abstractions blog

New Proof Shows Infinite Curves Come in Two Types

November 7, 2018

Alexander Smith’s work on the Goldfeld conjecture reveals fundamental characteristics of elliptic curves.