{"slug": "chinese-doctor-stuns-maths-world-by-cracking-decades-old-problem-using-chatgpt", "title": "Chinese doctor stuns maths world by cracking decades-old problem using ChatGPT", "summary": "Beijing-based neurosurgeon Jin Shanmu used OpenAI's GPT-5.6-Sol on the ChatGPT Work platform to prove Crouzeix's conjecture, a two-decade-old mathematical problem in numerical linear algebra, during a 16-hour autonomous run. The proof, achieved while researching brain ultrasounds, resolves a puzzle proposed by French mathematician Michel Crouzeix in 2004 that had frustrated experts worldwide.", "body_md": "# Chinese doctor stuns maths world by cracking decades-old problem using ChatGPT\n\nJin Shanmu, a Beijing-based neurosurgeon, was trying to solve a problem related to brain ultrasounds. Instead, he made mathematical history\n\nWhen Beijing-based neurosurgeon Jin Shanmu pulled up a chair at his computer, he was not looking to make mathematical history. He was simply trying to crack a problem related to brain ultrasounds.\n\n[OpenAI’s latest flagship artificial intelligence (AI) model](https://www.scmp.com/tech/tech-trends/article/3362568/openai-blinks-face-chinese-rivals-drops-pricing-some-models-80?module=inline&pgtype=article), solved a two-decade-old mathematical puzzle that had frustrated experts around the world since 2004.\n\nJin, a postdoctoral researcher and resident at the Peking Union Medical College Hospital, managed to prove Crouzeix’s conjecture, a problem in numerical linear algebra.\n\nHis tool? A 16-hour autonomous run on GPT-5.6-Sol, operating on the ChatGPT Work platform.\n\nProposed by French mathematician Michel Crouzeix, the conjecture posits that the norm of applying any function to a matrix is no larger than twice the function’s maximum value on that matrix’s numerical range.\n\nWhile abstract, it has long been an intriguing problem in matrix analysis – a field Jin stumbled into while undertaking research on transcranial ultrasounds.", "url": "https://wpnews.pro/news/chinese-doctor-stuns-maths-world-by-cracking-decades-old-problem-using-chatgpt", "canonical_source": "https://www.scmp.com/tech/tech-trends/article/3363966/chinese-doctor-stuns-maths-world-cracking-decades-old-problem-using-chatgpt?utm_source=rss_feed", "published_at": "2026-08-14 02:00:12+00:00", "updated_at": "2026-08-14 02:15:33.562030+00:00", "lang": "en", "topics": ["artificial-intelligence", "ai-research", "ai-tools"], "entities": ["Jin Shanmu", "OpenAI", "GPT-5.6-Sol", "ChatGPT Work", "Peking Union Medical College Hospital", "Michel Crouzeix"], "alternates": {"html": "https://wpnews.pro/news/chinese-doctor-stuns-maths-world-by-cracking-decades-old-problem-using-chatgpt", "markdown": "https://wpnews.pro/news/chinese-doctor-stuns-maths-world-by-cracking-decades-old-problem-using-chatgpt.md", "text": "https://wpnews.pro/news/chinese-doctor-stuns-maths-world-by-cracking-decades-old-problem-using-chatgpt.txt", "jsonld": "https://wpnews.pro/news/chinese-doctor-stuns-maths-world-by-cracking-decades-old-problem-using-chatgpt.jsonld"}}