University of Illinois at Chicago |

Department of Mathematics |

851 S. Morgan Street |

Chicago, IL 60607-7045 |

I'm currently a fifth year graduate student here at UIC. My adivor is Alexey Cheskidov. Here is my CV.

### Research

My research interests are manly nonlinear partial differential equations, especially Navier-Stokes equations and other fluids equations. Here is my research statement (Aug 2018).#### Ongoing projects:

- Convex integration for 3D NSE.
- Local-in-time regularity near the blowup time.

#### My Papers:

(pdfs here could be more up-to-date than arxiv versions)- Stationary and discontinuous weak solutions of the Navier-Stokes equations. (with Alexey Cheskidov) pdf or 1901.07485.
- Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equations in high dimensions. accepted by Arch. Ration. Mech. Anal. pdf or 1807.09318.
- A Beale-Kato-Majda criterion with optimal frequency and temporal localization. to appear in J. Math. Fluid Mech. pdf or 1803.05569.
- Energy equality for the Navier-Stokes equations in weak-in-time Onsager spaces. (with Alexey Cheskidov) pdf or 1802.057859.
- On the possible time singularities for the 3D Navier-Stokes equations. accepted by Physica D. pdf or 1707.02372.