Mathematicians say a neurosurgery resident used ChatGPT, powered by GPT-5.6, to solve Crouzeix's conjecture, a major open problem in numerical linear algebra (Alex Townsend)

<a href="https://alextownsend.net/essays/SIAMNews_CrouzeixConjecture.pdf"><img align="RIGHT" border="0" hspace="4" src="http://www.techmeme.com/260813/i9.jpg" vspace="4" /></a> <p><a href="https://www.techmeme.com/260813/p9#a260813p9" title="Techmeme permalink"><img height="12" src="http://www.techmeme.com/img/pml.png" style="border: none; padding: 0; margin: 0;" width="11" /></a> <a href="https://alextownsend.net/">Alex Townsend</a>:<br /> <span style="font-size: 1.3em;"><b><a href="https://alextownsend.net/essays/SIAMNews_CrouzeixConjecture.pdf">Mathematicians say a neurosurgery resident used ChatGPT, powered by GPT-5.6, to solve Crouzeix's conjecture, a major open problem in numerical linear algebra</a></b></span>&nbsp; &mdash;&nbsp; On July 30, 2026, the first author asked ChatGPT 5.6 to solve Crouzeix's conjecture, as he had been routinely doing for the preceding year.</p>