Strategic Plan · March 2026 – March 2028
A strategic, phased plan for achieving general acceptance of the proposed Navier–Stokes solution within the global mathematics community, as required by the Clay Mathematics Institute for Millennium Prize consideration.
CMI Requirements
Per the official CMI Millennium Prize Rules (Revised September 2012), a Proposed Solution must satisfy all four of the following conditions.
Published in a Qualifying Outlet — a refereed mathematics publication of worldwide repute, indexed in MathSciNet.
At least two years must elapse since publication in a Qualifying Outlet before CMI will consider the solution.
The Proposed Solution must achieve general acceptance in the global mathematics community, as determined in the sole discretion of CMI.
The Proposed Solution must satisfactorily answer the questions raised by the Problem's official description, as determined in the sole discretion of CMI.
The Strategic Plan
Publication & Dissemination
Submit the final manuscript to a top-tier journal (Primary Target: Communications on Pure and Applied Mathematics). Simultaneously, upload to the arXiv.org pre-print server (sub-archive: math.AP) for immediate, open access while formal peer-review begins.
Compile a list of ~100 leading researchers in PDEs and mathematical fluid dynamics. Send personalized emails to each, introducing the work and providing a direct link to the arXiv pre-print.
Create a recorded video lecture (~60 mins) walking through the proof's architecture, a non-technical blog post explaining the significance, and a dedicated project website as a central hub for all materials.
Submit abstracts and present the work at major mathematics conferences (e.g., SIAM Conference on Analysis of PDEs). This initiates public, academic discussion and allows for initial Q&A with a broad audience.
Engagement & Verification
Propose and organize a focused workshop (e.g., at MSRI, BIRS, or Oberwolfach) with the theme 'New Approaches to Navier–Stokes Regularity,' centered around the Depletion Lemma. Inviting both proponents and friendly skeptics is crucial.
Actively monitor platforms like MathOverflow and academic social media for discussions of the paper. Engage constructively and professionally, answering questions and clarifying points. This demonstrates commitment to open scientific discourse.
Write and publish a shorter follow-up paper on arXiv that explores a specific consequence of the main theorem or provides further heuristic/numerical evidence for the Depletion Lemma. This maintains intellectual momentum.
Present more mature versions of the work at the main annual meetings of major mathematical societies (e.g., AMS Joint Mathematics Meetings, ICIAM). Focus on the community's reception and the path to verification.
Solidification & CMI Review
Begin formally tracking metrics of acceptance: number of citations, positive discussions in papers by other authors, invitations to give plenary lectures, and endorsements from leading figures in the field. This builds the case for 'general acceptance.'
The original paper must have been published in a qualifying outlet for at least two years. This period of 'rigorous examination' is non-negotiable. All prior work is designed to ensure this period is used effectively by the community.
The CMI's SAB will, at its own discretion, begin its evaluation process once the two-year waiting period is complete and they have determined that general acceptance has been achieved. All prior steps are designed to produce a clear and positive signal for the SAB.
Core Strategic Principle
"The key to success is not just the correctness of the mathematics, but a sustained, transparent, and respectful engagement with the global mathematics community. A proof gives not only certitude, but also understanding — and understanding must be shared."
— TalaStar Research Program, 2026