Twenty-five Fields Medalists warn that solving famous problems can still damage mathematics
A public statement signed by 25 Fields Medalists argues that AI companies are pursuing a goal that can look like progress while undermining the science they claim to advance. Frontier systems are increasingly pushed toward major open mathematical problems because a solved theorem is a legible benchmark. The signatories say mathematics is not a scoreboard of true and false answers. Its value also lies in the concepts, methods, explanations, attribution, training, and new questions produced through the attempt. A rapid machine-generated announcement can therefore create an answer while destroying part of the intellectual landscape that made the problem fertile. The statement is a professional judgment from leading mathematicians, not an empirical demonstration that AI-generated proofs will reduce discovery or education. It also acknowledges that AI can benefit mathematics when it supports genuine understanding. The governance problem is incentive design. Companies can capture attention and prestige from a dramatic result, while the mathematical community bears the slower work of formal verification, exposition, credit assignment, teaching, and integration into the field. A better research compact would require complete methods, provenance, reproducible artifacts, citation tracing, and funding for human explanation before a benchmark result is marketed as a scientific breakthrough. The most important capability is not producing a proof-shaped object. It is enabling people to understand why the argument works and what new mathematics it makes possible.
