A mathematician working at Anthropic says he used the AI model Claude Fable 5 to uncover a remarkably simple counterexample ...
OpenAI’s Astra generates machine‑checkable proofs for ten decades‑old math problems, showing how verified AI can cut ...
OpenAI has revealed Astra, an unreleased model designed to tackle complex, long-running tasks, after an internal version ...
An illustration of physics equations being bent and warped. New research has found a way to accurately predict quantum interactions without using complex numbers. | Credit: vitacopS via Getty Images ...
In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...
Gerd Faltings proved a conjecture that had been unsolved for six decades, using connections between numbers and geometry. By Kenneth Chang A German mathematician, Gerd Faltings, is this year’s winner ...
Pine cones. Stock-market quotations. Sunflowers. Classical architecture. Reproduction of bees. Roman poetry. What do they have in common? In one way or another, these and many more creations of nature ...
Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...
Kids in elementary school learn—or are supposed to learn—how to add fractions and round numbers. But many students at the University of California, San Diego—a top public university ranked sixth ...
In the third century BCE, Apollonius of Perga asked how many circles one could draw that would touch three given circles at exactly one point each. It would take 1,800 years to prove the answer: eight ...
Amateur mathematicians are closing in on an unimaginably huge number – one so large that it brushes up on the edge of what is even knowable within the framework of modern mathematics. It all stems ...