Long polymer chains are everywhere: in synthetic materials, soft matter, biological systems such as chromosomes, and mathematical models of filaments and knots. When many such chains are densely ...

When different materials transition from one phase to another, such as water coming to a boil or a magnet losing its ability ...

Forecasts of explosive AI progress predict that what researchers call recursive self-improvement is on the horizon.  But a new study suggests that it might take a while for us to get there. The ...

As millions of people were coming down from the excitement of the FIFA World Cup Final at the start of this week, a different kind of excitement was building within the mathematical community. Levent ...

An Anthropic AI model, Claude Fable 5, helped disprove the 87-year-old Jacobian conjecture, a famous open problem in mathematics dating to 1939. The model produced a concrete counterexample that ...

On Sunday evening, as Spain and Argentina played out the World Cup final, the mathematician Levent Alpöge posted a short message on X. The Jacobian conjecture, he wrote, is false. He thanked a friend ...

The company’s new A.I. image generator has a surprising twist: It allows people to use images from public Instagram accounts. By Eli Tan Reporting from Seattle When Meta unveiled an artificial ...

Think the chances of finding the right person for you—that needle in a haystack—are stacked against you, so to speak? Well, why not just burn down all the haystacks to find that needle? That's what ...

Jacobian Guillory II played at Alexandria Senior High School in Alexandria, Louisiana. The defensive lineman was also a three-sport standout in football, powerlifting and track and field; with ...

A new gas pump scam spreading across parts of the country could leave drivers unknowingly paying hundreds of dollars for fuel they never pumped. The scam, known as the “Screw Method,” has already been ...