As of Fall 2021, I am a fifth-year graduate student of mathematics
at UCLA. My main interests are in PDE, specifically fluid mechanics including regularity theory for the Navier-Stokes equations and convex
integration. My advisor is Terence Tao.

Office: MS 6146

Fax: (310) 206-6673

Email: [my last name]@math.ucla.edu

In Winter 2022 I will be the instructor for Math 204 (Master's Analysis).

- Epochs of regularity for wild Hölder-continuous solutions of the hypodissipative Navier-Stokes system (joint with Aynur Bulut and Khang Huynh, in preparation)
- A minimum critical blowup rate for the high-dimensional Navier-Stokes equations (submitted, arXiv)
- Improved quantitative regularity for the Navier-Stokes equations in a scale of critical spaces (published in Arch. Ration. Mech. Anal.)
- A paralinearization of the 2d and 3d gravity water wave system in infinite depth (Undergraduate senior thesis)

- "Quantitative regularity for high-dimensional Navier-Stokes equations" (upcoming, UCLA Participating Analysis Seminar)
- "Quantitative regularity for Navier-Stokes in critical spaces II" (UCLA Participating Analysis Seminar, Jan 29 2021)
- "Quantitative regularity for Navier-Stokes in critical spaces I: Carleman estimates and regions of regularity" (UCLA Participating Analysis Seminar, Jan 22 2021)
- "Convex integration for the 2d Euler equations" (Advancement to Candidacy talk, UCLA Participating Analysis Seminar, May 15 2020)
- "Recent developments and open problems regarding the winding number" (UCLA Participating Analysis Seminar, Feb 2019)
- "The Nash-Kuiper theorem and fluid mechanics" (UCLA Participating Analysis Seminar, May 2018)

- Fall 2021: Math 142 (Mathematical modeling)
- Spring 2021: Math 131B (Analysis II)
- Spring 2021: Math 131C (Topics in analysis)
- Winter 2021: Math 131B (Analysis II)
- Winter 2021: Math 135 (Ordinary differential equations)
- Fall 2020: Math 134 (Linear and nonlinear systems of differential equations)
- Fall 2020: Math 135 (Ordinary differential equations)
- Summer 2020: Math 134 (Linear and nonlinear systems of differential equations)
- Spring 2020: Math 136 (Partial differential equations)
- Winter 2020: Math 31B (Integration and infinite series)
- Winter 2020: Math 134 (Linear and nonlinear systems of differential equations)
- Fall 2019: Math 3A (Calculus for life sciences)
- Fall 2019: Math 134 (Linear and nonlinear systems of differential equations)
- Spring 2019: Math 3C (Differential equations for life sciences)
- Spring 2019: Math 170B (Probability theory II)
- Winter 2019: Math 31A (Differential and integral calculus)
- Winter 2019: Math 132 (Complex analysis for applications)
- Fall 2018: Math 131AH (Honors real analysis)
- Fall 2018: Math 132 (Complex analysis for applications)
- Spring 2018: Math 134 (Linear and nonlinear systems of differential equations)
- Winter 2018: Math 132 (Complex analysis for applications)
- Fall 2017: Math 3A (Calculus for life sciences)