The painstaking process of formalization to verify proofs is starting to surge thanks to AI. That could radically change the ...

When two mathematicians raised pointed questions about a classic proof that no one really understood, they ignited a years-long debate about how much could be trusted in a new kind of geometry. In the ...

"Hearst Magazines and Yahoo may earn commission or revenue on some items through these links." Two mathematicians now say they’ve made progress on a very old unsolved math problem. The problem ...

From prehistoric pottery designs to the formal proofs of ancient Greece, mathematics has evolved as both an art and a science. Across cultures and centuries, humans have used patterns, geometry, and ...

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 ...

A mathematician will turn a groundbreaking 100-page proof into computer code. The proof tool, Lean, lets users turn proofs written in prose into rules and logic for testing. Kevin Buzzard already uses ...

The same branch of mathematics that helped Einstein to formulate his theory of general relativity could now allow scientists to peer with unprecedented accuracy into impenetrable objects—such as the ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore One of the biggest stories in science has been ...