Neurosurgery resident uses ChatGPT 5.6 to prove Crouzeix's conjecture
Original titleThis is amazing on so many levels, including the fact that I spent a week trying to solve this problem back in 2012 😅
AISummary
A neurosurgery resident at Peking Union Medical College Hospital, Shanmu Jin, posted a preprint claiming a proof of Crouzeix's conjecture in numerical linear algebra after using ChatGPT 5.6.
The essay by Alex Townsend and Anne Greenbaum says the conjecture had been open for more than two decades and that the argument held up after a few hours of review. Bubeck, who says he spent a week on the problem in 2012, quotes the story and calls it amazing.
Source: Sebastien Bubeck · x.comPublished · added here