Update:
OpenAI has released its math report, officially confirming the Astra name for the first time. The company says an internal version of Astra, its "next major model family," solved ten open problems in math and theoretical computer science. Mathematicians had made no progress on any of them for at least a decade, and much longer in most cases.
The results cover fields ranging from high-dimensional geometry and coding theory to group theory, quantum complexity, lattice cryptography, and extremal combinatorics. One proof establishes the existence of non-sofic groups, resolving a major open question in group theory.
Thomas Bloom, a University of Manchester mathematician who runs erdosproblems.com, called the results "big news" on X. He considers them more significant than the counterexample to the unit distance conjecture published in May. "Maybe not bigger than a proof of unit distance would have been, but in terms of constructions, this is big," Bloom wrote.
Bloom also rejected the idea that AI is replacing mathematicians, arguing that the claim makes little sense when the AI draws on more than a century of mathematical theory, was built by mathematicians, and was trained on everything mathematicians have ever written.
