Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.

Neven’s law states that quantum computers are improving at a “doubly exponential” rate. If it holds, quantum supremacy is around the corner.

Amie Wilkinson searches for exotic examples of the mathematical structures that describe change.

The universe of problems that a computer can check has grown. The researchers’ secret ingredient? Quantum entanglement.

Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.

Quantum computers can’t selectively forget information. A new algorithm for multiplication shows a way around that problem.

By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.

Researchers have just released hacker-proof cryptographic code — programs with the same level of invincibility as a mathematical proof.