An open letter signed by 25 mathematicians who have each won the Fields Medal, widely regarded as the discipline’s most prestigious prize, accuses AI laboratories of threatening the intellectual foundation of their field as companies race to one-up each other with machine-generated solutions to famous problems.
The letter lands in a week of visible friction between the AI industry and university researchers. NYU professor Tristan Buckmaster publicly accused OpenAI of pressuring him not to credit a collaborator who works for rival lab Anthropic, and openly questioned whether the company had used his team’s work with Codex to produce its own headline-grabbing proof over a marathon weekend of inference. On Thursday, OpenAI withdrew its sponsorship of a mathematics event at Caltech after criticism from university researchers. As of publication, OpenAI’s own proof remains unverified.
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What the Letter Actually Argues
The signatories’ concern is not that AI can do mathematics. It is that the way these results arrive is breaking the informal machinery that has made mathematical knowledge trustworthy for centuries.
“Often these solutions are announced in a rush, leaving no time for a proper writeup, the isolation of new methods and ideas, and citing relevant previous work of others,” they wrote. That framing matters: in mathematics, a proof only becomes real once other mathematicians can read it, reproduce it, and connect it to what came before. An announcement without a verifiable write-up is not yet a result.
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The letter also raises plagiarism and attribution questions that will feel familiar to anyone in research. “Without the willing mathematicians who must take care of their development and integration into the mathematical canon, AI-conceived ideas would never become fully alive and the crucial human transmission chain between mathematicians would be lost,” the signatories wrote.
The document follows the Leiden Declaration, released in June 2026 by a working group of mathematicians, which examines how LLM-generated proofs will reshape the discipline and offers recommendations for mathematicians, institutions, and policymakers.
A Credit System Under Strain
The practical stakes are not abstract. Every problem that a frontier lab solves ahead of the original researcher is a citation, a grant, a tenure case, and a career path that changes direction. If a lab can spend tens of millions of dollars on inference to beat researchers to a proof, the incentive shifts toward secrecy rather than the open exchange that has historically powered mathematics.
Buckmaster’s public account adds a specific grievance to that general worry. He described being asked not to credit a collaborator at Anthropic — a detail that, if accurate, goes beyond competitive pressure and into the mechanics of how credit is assigned in a field where attribution is the currency. Other mathematicians have reportedly grown wary about whether their own Codex sessions are being fed back into OpenAI’s models.
The signatories also acknowledge that AI could genuinely help humanity crack outstanding problems. Their argument is conditional: that benefit only materializes if the mathematics community can understand, verify, and communicate those solutions. A proof no human can parse is, for the discipline, indistinguishable from a rumor.
Why This Matters Beyond Mathematics
The letter is explicit that this is not a math-only problem. “The issues the mathematical community faces now are similar to issues that other scientific and creative professions are facing, and indicate issues that all of humanity might face,” the signatories wrote. The pattern — AI tools accelerating output while attribution and verification struggle to keep pace — has already appeared in software engineering, illustration, and scientific writing.
The signatories’ final point is the one worth carrying outside the discipline: the value of intellectual work is not only its finished output. It is also “the work around the work” — the mentorship, the wrong turns, the questions that get asked along the way, and the human chain that transmits them. That is what a rushed, unverified, machine-generated result cannot replace.
For readers outside academia, the nearer-term question is whether institutions will treat these disputes as isolated incidents or as an early test case for how AI-mediated research gets credited across every field it touches. The Leiden Declaration’s recommendations and this new letter together suggest the mathematical community intends to litigate that question publicly rather than wait for the labs to answer it on their own terms.
This article discusses research culture and attribution. It does not constitute financial or investment advice, and any market or asset mentioned is volatile and uncertain.
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