AI Signal 396
Neurosurgery resident reportedly solved Crouzeix's conjecture using ChatGPT powered by GPT-5.6
↗
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.
If verified, this represents a frontier AI model producing a solution to a significant unsolved problem in mathematics, not just a routine computational task. It suggests the current generation of large language models has crossed a threshold in mathematical reasoning capability that could change how research in formal disciplines is conducted.
Written by elseif from the cluster below · every claim links back to a sourceThe three things worth knowing
A neurosurgery resident reportedly used ChatGPT powered by GPT-5.6 to solve Crouzeix's conjecture, a major open problem in numerical linear algebra.
The first author had been routinely asking ChatGPT to solve the conjecture before reportedly succeeding on July 30, 2026.
GPT-5.6 Sol is rated as a frontier model on the Artificial Analysis Intelligence Index, scoring alongside Grok 4.6 and behind only Opus 5 and Fable 5.
THE CLUSTER