Alex and Trent are back from The National and have tons of stories, pickups, and more from The National. What were the ...

Freedom and restraint seem like opposing forces, but to Yu Deng, they go hand in hand. Take the poem he’s just pulled up on his computer screen: a dense forest of Chinese characters corralled into ...

Unbeknownst to them, the puzzle would help launch a profound branch of modern math about order among chaos and spark a ...

There’s a $1-million prize for proving the Riemann hypothesis. Claude couldn’t pull that off, but it made significant progress on a related problem ...

Disproving the Jacobian conjecture marks the latest high-profile win in a historic year for frontier AI models in theoretical mathematics. (Image created with AI) An Anthropic researcher just gave ...

Germany's former national team goalkeeper Oliver Kahn is tempering the excitement surrounding the new national team coach, Jürgen Klopp. “Personally, I don’t think it’s as simple as many people ...

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 ...

Quantum entanglement is key to solving a 250-year-old mathematical puzzle – and the discovery could ultimately help build quantum computers that are more resilient to errors. In the 1700s, according ...

A young mathematician teamed up with a new AI model to tackle one of the hardest open problems in mathematics, and the result is causing a stir among mathematicians and AI researchers on X. Levent ...

A long-standing mathematical conundrum has been solved by ChatGPT in a few hours, with only a few simple prompts. The Dinitz-Garg-Goemans conjecture is a 30-year-old question in graph theory, but a ...

While more than 60 million people in the United States watched the FIFA World Cup final on July 19, an artificial intelligence model was hard at work solving—or technically, disproving—a decades-old ...

The Jacobian conjecture is a long-standing open problem in algebraic geometry that's bedeviled highly accomplished mathematicians for almost 90 years. It was included in "Smale's problems," a list of ...