Search Clay Mathematics Institute

  • About
    About
    • About
    • History
    • Principal Activities
    • Who’s Who
    • CMI Logo
    • Policies
  • Programs & Awards
    Programs & Awards
    • Programs & Awards
    • Funded programs
    • Fellowship Nominations
    • Clay Research Award
    • Dissemination Award
  • People
  • The Millennium Prize Problems
    The Millennium Prize Problems
    • The Millennium Prize Problems
    • Birch and Swinnerton-Dyer Conjecture
    • Hodge Conjecture
    • Navier-Stokes Equation
    • P vs NP
    • Poincaré Conjecture
    • Riemann Hypothesis
    • Yang-Mills & the Mass Gap
    • Rules for the Millennium Prize Problems
  • Online resources
    Online resources
    • Online resources
    • Books
    • Video Library
    • Lecture notes
    • Collections
      Collections
      • Collections
      • Euclid’s Elements
      • Ada Lovelace’s Mathematical Papers
      • Collected Works of James G. Arthur
      • Klein Protokolle
      • Notes of the talks at the I.M.Gelfand Seminar
      • Quillen Notebooks
      • Riemann’s 1859 Manuscript
  • Events
  • News

Home — People — Vlad Vicol

Vlad Vicol

Category: Research Award Winners

Affiliation: New York University

The 2019 Clay Research Award to Tristan Buckmaster (Princeton), Philip Isett (Caltech) and Vlad Vicol is made in recognition of the profound contributions that each of them has made to the analysis of partial differential equations, particularly the Navier-Stokes and Euler equations. 

Buckmaster and Vicol changed perceptions of the nature of weak solutions to the Navier-Stokes equations by proving that such solutions can be remarkably wild – severely non-smooth and highly non-unique.

With a series of breakthroughs, Isett finally settled Onsager’s 1949 Conjecture that, in turbulent regimes, below a specific regularity threshold, solutions to Euler’s equations can be energy dissipative.

Both works solve longstanding problems of fundamental importance. In the course of doing so, they introduce novel ideas in hard analysis, building on the program of De Lellis and Székelyhidi, inspired by the pioneering work of Nash and Gromov.

  • Privacy Policy
  • Contact CMI

© 2025 Clay Mathematics Institute

Site by One