As he was brushing his teeth on the morning of July 17, 2014, Thomas Royen, a little-known retired German statistician, suddenly lit upon the proof of a famous conjecture at the intersection of ...

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 ...

Recently, two American high school students made headlines for discovering a new proof of the Pythagorean theorem. Calcea Johnson and Ne'Kiya Jackson, seniors at St. Mary's Academy in New Orleans, ...

David Conlon and Asaf Ferber have raised the lower bound for multicolor “Ramsey numbers,” which quantify how big graphs can get before patterns inevitably emerge. “There is no absolute randomness in ...

If you thought the mathematical proofs you did in high school were long, you haven’t seen the newest one out of the University of Liverpool — computer scientists Alexei Lisitsa and Boris Konev came up ...