Research fellow, Korea Institute for Advanced Study (KIAS), 2017.11-2019.09

Advisor: Richard Evan Schwartz

Ph.D in mathematics, Princeton Univ., 2013-2017

Advisors: Yakov Sinai and Tarek Elgindi

Thesis: Dynamics of the incompressible Euler equations at critical regularity

- (with Tsuyoshi Yoneda) Enstrophy dissipation and vortex thinning for the incompressible 2D Navier-Stokes equations

**Nonlinearity,**to appear. arXiv

- (with Kyudong Choi) Growth of perimeter for vortex patches

**Appl. Math. Lett,**to appear. arXiv

- (with Tarek Elgindi) On Singular Vortex Patches, II: Long-time dynamics

**Trans. Amer. Math. Soc.**(2020) journal arXiv

- (with Tarek Elgindi) On Singular Vortex Patches, I: Well-posedness Issues

**Mem. Amer. Math. Soc.,**to appear. arXiv

- (with Tsuyoshi Yoneda) Vortex stretching and a modified zeroth law for the incompressible 3D Navier-Stokes equations

**Math. Ann.**(2020) journal arXiv

- (with Sun-Chul Kim) On stationary solutions and inviscid limits for generalized Constantin-Lax-Majda equation with O(1) forcing

**Nonlinearity,**to appear.

- (with Tarek Elgindi) Finite-time Singularity Formation for Strong Solutions to the Boussinesq System

**Ann. PDE.**(2020) journal arXiv

- (with Tarek Elgindi) On the Effects of Advection and Vortex Stretching

**Arch. Rational Mech. Anal.**(2020) journal arXiv

- (with Tarek Elgindi) Symmetries and Critical Phenomena in Fluids

**Comm. Pure Appl. Math.**(2020) journal arXiv

- (with Sun-Chul Kim) On the stationary solutions and inviscid limit for the generalized Proudman-Johnson equation with O(1)-forcing

**J. Math. Anal. Appl.**(2019) journal

- Self-similar solutions for dyadic models of the Euler equations

**J. Differential Equations**(2019) journal arXiv

- (with Tarek Elgindi) Finite-time Singularity Formation for Strong Solutions to the axi-symmetric 3D Euler Equations

**Ann. PDE.**(2019) journal arXiv

- Outer Billiards with Contraction: Regular Polygons

**Dyn. Syst.**(2018) journal arXiv

- (with Tarek Elgindi) Ill-posedness for the incompressible Euler equations in critical Sobolev spaces

**Ann. PDE.**(2017) journal arXiv

- (with Benoit Pausader) Discrete Schrödinger equation and ill-posedness for the Euler equation

**Discrete Contin. Dyn. Syst.**(2017) journal

- (with Sasha Sodin) A Limit theorem for stochastically decaying partitions at the edge

**Random Matrices Theory Appl.**(2016) journal arXiv

- (with Dong Li) A Blow-Up Result for Dyadic Models of the Euler Equations

**Comm. Math Phys.**(2015) journal arXiv

- Outer Billiards with Contraction: Attracting Cantor Sets

**Exp. Math.**(2015) journal arXiv

- (with Gregg Musiker and Sicong Zhang) Gale-Robinson sequences and brane tilings

**Discrete Math. Theor. Comput. Sci. Proc.**(2013)

- (with Young-Pil Choi) Classical solutions to the fractional porous medium flow

- (with Tsuyoshi Yoneda) Quasi-streamwise vortices and enhanced dissipation for the incompressible 3D Navier-Stokes equations

arXiv

- (with Young-Pil Choi) On well-posedness and singularity formation for the Euler-Riesz system

arXiv

- (with Sung-Jin Oh) On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: illposedness near degenerate stationary solutions

arXiv

- Loss of regularity for the 2D Euler equations

- (with Kyudong Choi) On the winding number for particle trajectories in a disk-like vortex patch of the Euler equations

arXiv

- (with Tarek Elgindi) The incompressible Euler equations under octahedral symmetry: singularity formation in a fundamental domain

arXiv

- (with Tarek Elgindi, Theodore Drivas, and Gautam Iyer) Anomalous Dissipation in Passive Scalar Transport

arXiv

- papers on arXiv

- Google scholar

- Analysis seminar at KIAS

- Mathematics of Fluid Motion III (2019.12.18-20)