Riemann hypothesis

The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis.

Landmark results in Ramsey theory and a remarkably simple aperiodic tile capped a year of mathematical delight and discovery.

What makes a proof stronger than a guess? What does evidence look like in the realm of mathematical abstraction? Hear the mathematician Melanie Matchett Wood explain how probability helps to guide number theorists toward certainty.

Paul Nelson has solved the subconvexity problem, bringing mathematicians one step closer to understanding the Riemann hypothesis and the distribution of prime numbers.

A number theorist recalls his first encounter with the Riemann hypothesis and breaks down the math in a new Quanta video.

Mathematicians try to figure out when problems can be solved using current knowledge — and when they have to chart a new path instead.

Freeman Dyson — physicist, mathematician, writer and idea factory — died on February 28, but his vitality lives on.

Explore our surprisingly simple, absurdly ambitious and necessarily incomplete guide to the boundless mathematical universe.

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.