Mathematics

In an increasingly interconnected world, scientists are seeking safeguards against catastrophic cascades of failure like stock market crashes and widespread blackouts.

A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.

As the role of computers in pure mathematics grows, researchers debate their reliability.

All complex correlated systems, from Arctic melt ponds to the Internet, appear to be governed by the same math as a random matrix.

A mathematical technique called “differential privacy” gives researchers access to vast repositories of personal data while meeting a high standard for privacy protection.

Thirty years after William Thurston articulated a grand mathematical vision, a proof by Ian Agol marks the end of an era in the study of three-dimensional shapes.