Matei P. Coiculescu

New York University, Courant Institute
Warren Weaver Hall, 251 Mercer St
New York, NY 10012

Office : Warren Weaver 704
Email : m.coiculescu[at]nyu[dot]edu


My CV

Matei

I am a Simons Junior Fellow at the Courant Institute. My mentor is Professor Tristan Buckmaster.

I graduated from Princeton University in 2026 with a Ph.D. in Mathematics and from Brown University in 2021 with an Sc.B. in Mathematics.

My postdoctoral work is generously supported by the Simons Foundation.

Research interests

My research interests are in Mathematical Fluid Dynamics, Geometric Analysis, and Partial Differential Equations.
I am especially interested in regularity and uniqueness problems related to the Navier-Stokes and Euler Equations.
I also work on the Riemannian geometry of Lie groups, on geometric flows on curves, and on the theory of viscosity solutions.
Recently, I have been interested in the mathematical theory of turbulence.

Publications

  1. Stationary Solutions of the Curvature Preserving Flow on Space Curves
    Archiv der Mathematik (2021)
  2. Some New Results In Geometric Analysis
    Brown University Undergraduate Thesis (2021)
  3. An Interpolation From Sol to Hyperbolic Space
    Experimental Mathematics (2022)
  4. The Spheres of Sol   Joint with R.E. Schwartz
    Geometry & Topology (2022)
  5. An Application of the Theory of Viscosity Solutions to Higher Order Differential Equations
    Monatshefte fuer Mathematik (2024)
  6. The Affine Shape of a Figure-Eight Under the Curve Shortening Flow   Joint with R.E. Schwartz
    Journal of Differential Geometry (2024)
  7. Non-Uniqueness of Smooth Solutions of the Navier-Stokes Equations from Critical Data   Joint with S. Palasek
    Inventiones Mathematicae (2025)
  8. Conditional Liouville Theorems for the Navier-Stokes Equations   Joint with J. Yang
    Calculus of Variations and PDE (2026)
  9. Partial Regularity, Uniqueness, and Non-Uniqueness for the Navier-Stokes Equations
    Princeton University Dissertation (2026)
  10. Mathematics and the Glass Bead Game
    Notices of the A.M.S.
  11. Partial Regularity and Blowup for an Averaged Three-Dimensional Navier-Stokes Equation
    Journal of Functional Analysis
  12. Stability of the Inviscid Power-Law Vortex   Joint with T. Binz
    Submitted
  13. Multi-Sink Solutions to the Self-Similar Euler Equations   Joint with H. Choi
    Submitted. Companion Programs
  14. Homothetic Self-Similar Solutions to the Incompressible Navier-Stokes Equations   Joint with T. Binz
    Submitted.
  15. Ill-Posedness of the Euler Equations Linearized around Homogeneous Steady States
    Submitted.
  16. Extending the Córdoba-Martínez-Zoroa IPM Blow-Up to Uniformly Space-Time Smooth Forcing   Joint with L. Alpöge and T. Buckmaster
    Submitted.
  17. Non-Uniqueness of Weak Solutions to the Unforced Two-Dimensional Euler Equations with Vorticity in L¹ ∩ Lᵖ, I: A Compactness Criterion and the Linear Analysis

Personal Interests

I enjoy playing tennis, golf, and softball. During the summer, I like to go fishing.
I have a 1st degree black belt in Tae Kwon Do.
I also play alto saxophone, especially the music of John Coltrane, Dexter Gordon, and Bird.