Tristan Buckmaster
A mathematics professor at New York University specializing in fluid dynamics and partial differential equations. He has made significant academic contributions to the study of blow-up solutions to the Navier–Stokes equations.
Core Facts
Timeline (last 90 days)
纽约大学的 Tristan Buckmaster 收到了来自 OpenAI 的通信，内容显得带有胁迫性、审查性甚至威胁性。
OpenAI offered three options, one of which required that when Buckmaster published his paper, he acknowledge that an internal OpenAI model had solved the problem.
When Buckmaster asked the model whether it had been trained on his session data, the response was that the model does not access user data, and when he asked again about training, he received no answer.
The research approach adopted by the Buckmaster team is 'forced blow-up,' which attempts to prove that under external forcing, the solution will collapse in finite time.
The proof obtained by the Buckmaster team passed formal verification in Lean in late August.
Scholar Tristan Buckmaster and Levent Alpöge, who works at Anthropic, have spent the past year tackling the Navier–Stokes problem, using Anthropic's Claude and OpenAI's Codex to assist their research.
Tristan Buckmaster and Vlad Vicol have published research in recent years exploring the non-uniqueness and instability of solutions in the Euler equations and Navier-Stokes equations.
Researcher Tristan Buckmaster and Levent (an Anthropic employee) worked on research into forced singularities for nearly a year, found a singularity in the Euler equations on August 15, and wrote it into an unpublished 245-page paper.
Buckmaster and Vicol successfully constructed weak solutions to the Euler equations that do not satisfy the energy equality, addressing the critical case of Onsager's conjecture.
Research involving Buckmaster employs means such as computer-assisted proofs and machine learning to explore the possibility of constructing singularities in fluid models such as the Euler equations.
15 more timeline events
All Facts (17)
Tristan Buckmaster is a tenured professor at New York University (NYU), specializing in fluid mechanics and partial differential equations.
65%UnverifiedBuckmaster and Vlad Vicol proved the non-uniqueness of weak solutions to the Navier-Stokes equations based on the Convex Integration technique.
60%UnverifiedThe research approach adopted by the Buckmaster team is 'forced blow-up,' which attempts to prove that under external forcing, the solution will collapse in finite time.
50%UnverifiedTristan Buckmaster and Vlad Vicol have published research in recent years exploring the non-uniqueness and instability of solutions in the Euler equations and Navier-Stokes equations.
50%UnverifiedResearch involving Buckmaster employs means such as computer-assisted proofs and machine learning to explore the possibility of constructing singularities in fluid models such as the Euler equations.
50%UnverifiedBuckmaster and Vicol successfully constructed weak solutions to the Euler equations that do not satisfy the energy equality, addressing the critical case of Onsager's conjecture.
50%UnverifiedBuckmaster likened the event to a Deep Blue vs. Kasparov moment, and acknowledged that mathematicians working with LLMs can now accomplish this kind of work within a month.
50%UnverifiedOpenAI acknowledged that upon hearing the rumors it launched its attempt on September 1, and proposed a joint release with the two scholars while acknowledging their priority, but emphasized that its proof differs greatly from theirs and that it had not seen any of their work.
50%UnverifiedMathematicians including Tristan Buckmaster have made breakthrough progress on the non-uniqueness of solutions to the Euler equations, constructing weak solutions using techniques such as convex integration.
50%UnverifiedBuckmaster collaborated with Levent Alpöge on research into the Navier-Stokes problem, and Alpöge currently works at Anthropic.
50%Unverified纽约大学的 Tristan Buckmaster 收到了来自 OpenAI 的通信，内容显得带有胁迫性、审查性甚至威胁性。
50%UnverifiedThe proof obtained by the Buckmaster team passed formal verification in Lean in late August.
50%UnverifiedScholar Tristan Buckmaster and Levent Alpöge, who works at Anthropic, have spent the past year tackling the Navier–Stokes problem, using Anthropic's Claude and OpenAI's Codex to assist their research.
50%UnverifiedWhen Buckmaster asked the model whether it had been trained on his session data, the response was that the model does not access user data, and when he asked again about training, he received no answer.
50%UnverifiedOpenAI offered three options, one of which required that when Buckmaster published his paper, he acknowledge that an internal OpenAI model had solved the problem.
50%UnverifiedResearcher Tristan Buckmaster and Levent (an Anthropic employee) worked on research into forced singularities for nearly a year, found a singularity in the Euler equations on August 15, and wrote it into an unpublished 245-page paper.
50%UnverifiedNew York University mathematics professor Tristan Buckmaster and Anthropic employee Levent Alpoge publicly released three results before OpenAI's announcement, including finite-time blow-up for the three-dimensional incompressible Euler equations with a smooth external force.
50%