How do you know if a quantum computer is doing what it claims? A new protocol offers a possible solution and a boost to quantum cryptography.
Two young mathematicians are illuminating a frontier in the study of rational solutions to polynomial equations: the cubics.
A virtually unknown researcher has made a great advance in one of mathematics’ oldest problems, the twin primes conjecture.
A new collection of arresting wallpaper designs seems to defy the crystallographic restriction.
An infinitesimal advance in the traveling salesman problem breathes new life into the search for improved approximate solutions.
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.