OpenAI claims Navier-Stokes breakthrough as Lean formalizations go public
AlexKontorovich · x · 2026-09-09
Math institutions and the Lean community respond to OpenAI's claimed breakthrough on the Navier–Stokes problem. AMS president Ravi Vakil and CEO John Meier called it "a milestone advance in human knowledge," tracing the arc from Navier, Stokes, Leray and Ladyzhenskaya through recent work by Córdoba & Martínez-Zoroa, then Alpöge & Buckmaster assisted by new technologies, with the final steps by OpenAI mathematicians.
The Lean prover team said they were "taken completely by surprise," and published explorable Lean formalizations for both the Alpöge/Buckmaster work and OpenAI's proof. Tristan Buckmaster's fluidlean repository (affinecore, boussinesq-blowup, euler-blowup) is public, with 143 stars and 11 forks so far.
Related event: AMS Confirms Navier-Stokes Breakthrough as Lean Proof Goes Open Source(4 posts)→
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