09-10-2026, 04:23 PM
The European Mathematical Society (EMS) has issued a statement on OpenAI’s recent announcement concerning the Navier–Stokes Millennium Prize Problem. The EMS describes the development as potentially a historic milestone in mathematics, both because a major open problem may have been resolved and because the work emerged from collaboration between professional mathematicians and AI systems.
However, the Society stresses that the result did not arise independently of existing mathematics: it builds closely on ideas developed by Diego Córdoba, Luis Martínez-Zoroa, and Fan Zheng, as well as recent progress by Levent Alpöge and Tristan Buckmaster, together with decades of earlier research.
The EMS considers the speed of the human–AI collaboration remarkable, but says the episode raises important questions about authorship, attribution, and scientific credit when mathematics is produced jointly by humans and machines. It also expresses concern that the AI model used by OpenAI is internal and not generally accessible, arguing that unequal access to powerful research systems could conflict with principles of open science and equal opportunity. Despite these concerns, the EMS concludes by joining in the admiration and celebration of the achievement while emphasizing that the mathematical community will need to develop new norms for AI-assisted research.
Key takeaways
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However, the Society stresses that the result did not arise independently of existing mathematics: it builds closely on ideas developed by Diego Córdoba, Luis Martínez-Zoroa, and Fan Zheng, as well as recent progress by Levent Alpöge and Tristan Buckmaster, together with decades of earlier research.
The EMS considers the speed of the human–AI collaboration remarkable, but says the episode raises important questions about authorship, attribution, and scientific credit when mathematics is produced jointly by humans and machines. It also expresses concern that the AI model used by OpenAI is internal and not generally accessible, arguing that unequal access to powerful research systems could conflict with principles of open science and equal opportunity. Despite these concerns, the EMS concludes by joining in the admiration and celebration of the achievement while emphasizing that the mathematical community will need to develop new norms for AI-assisted research.
Key takeaways
- The EMS regards the announcement as a potentially historic mathematical achievement.
- It explicitly credits earlier mathematicians whose ideas underpin the approach.
- Human–AI collaboration appears to have accelerated the research dramatically.
- New rules may be needed for authorship and credit in AI-assisted mathematics.
- The EMS is concerned that OpenAI's research model is not openly accessible.
- Its overall position is supportive but cautious: celebrate the mathematics while addressing the scientific and ethical consequences.
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