Matei P. Coiculescu
Princeton University, Department of Mathematics
Fine Hall, Washington Road
Princeton, NJ 08540
Email
:
coiculescu[at]princeton[dot]edu
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I am a fourth year Ph.D. student in Mathematics at
Princeton University.
My advisor is Professor
Camillo De Lellis.
I graduated from
Brown University
in 2021 with an Sc.B. in Mathematics.
My graduate studies are supported by the
NSF Graduate Research Fellowship Program.
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.
Publications
- Stationary Solutions of the Curvature Preserving Flow on Space Curves
Archiv der Mathematik (2021)
- Some New Results In Geometric Analysis
Brown University Undergraduate Thesis (2021)
- An Interpolation From Sol to Hyperbolic Space
Experimental Mathematics (2022)
- The Spheres of Sol
Geometry & Topology (2022)
- An Application of the Theory of Viscosity Solutions to Higher Order Differential Equations
Monatshefte fuer Mathematik (2024)
- The Affine Shape of a Figure-Eight Under the Curve Shortening Flow
Journal of Differential Geometry (2024)
- Partial Regularity and Blowup for an Averaged Three-Dimensional Navier-Stokes Equation
Submitted
- Stability of the Inviscid Power-Law Vortex in Self-Similar Coordinates
Work in Progress
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 enjoy playing alto saxophone.
I like the music of John Coltrane, Dexter Gordon, and Bird.