As of Fall 2023 I am a postdoc at the IAS/Princeton. Previously I was
a PhD student at UCLA under the supervision of Terence Tao; my dissertation is here. My interests are in nonlinear PDE,
particularly fluid mechanics.
Research
- (with A. Bulut and
M. K. Huynh)
Non-uniqueness up to C^0 for the forced SQG equation (in
preparation)
- (with A. Bulut and
M. K.
Huynh) Convex integration above the Onsager exponent for the forced Euler
equations,
2023
(arXiv, submitted)
- (with W. Ożański)
Quantitative
control
of solutions to
axisymmetric Navier-Stokes equations in terms
of the weak L^3 norm, Annals
of PDE, 2023 (arXiv)
- (with A. Bulut and
M.
K. Huynh) Epochs
of
regularity for wild
Hölder-continuous solutions of the
hypodissipative Navier-Stokes system, 2022 (arXiv, submitted)
- A minimum critical blowup rate for the
high-dimensional Navier-Stokes equations, J. Math. Fluid Mech., 2022 (arXiv)
- Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces, Arch.
Ration. Mech. Anal., 2021 (arXiv)
- A paralinearization of the 2d and 3d gravity water wave system in infinite depth,
Princeton senior thesis