Anthropic's Levant Alpöge, a former Harvard valedictorian, used Claude's Fable 5 to find something that mathematicians have ...
In pure mathematics, very occasionally, breakthroughs arrive like bolts from the blue – the result of such inspired feats of reasoning and creativity that they seem to push the very bounds of ...
The National Science Foundation awarded two University of Dayton mathematicians nearly $275,000 to research the building blocks of biological systems and the geometry of four-dimensional spaces. Both ...
In the ongoing campaign by artificial intelligence companies to take over pure mathematics, another round is commencing. The team behind First Proof, an effort to benchmark the ability of large ...
Place any number of dots on a two-dimensional plane—say, a piece of paper—and measure the distance between each pair. If you rearrange the dots, how many pairs could be positioned exactly the same ...
Mathematicians explore ideas by proposing conjectures and proving them with theorems. For centuries, they built these proofs line by careful line, and most math researchers still work like that today.