• Non-radial implosion for the defocusing nonlinear Schrödinger equation in Tn and Rn

 (with G. Cao-Labora, J. Gómez-Serrano, and G. Staffilani). arXiv. 2410.04532

• Non-radial implosion for compressible Euler and Navier-Stokes in T3 and R3

 (with G. Cao-Labora, J. Gómez-Serrano and G. Staffilani). Submitted  arXiv.2310.05325

• The regularity of the solutions to the Muskat equation: the degenerate regularity near the  turnover points  Advances in Mathematics (2024)

•  Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy

       (with J. Gómez-Serrano and J. Park)   Memoirs of the AMS, to appear. 112.

• Regularity of solutions to the Muskat equation,  Archive for Rational Mechanics and Analysis (2023)

• Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results

      (with J. Gómez-Serrano, J. Park,  and Y. Yao) Communications in Mathematical Physics, 386, 1845–1879 (2021).

• Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

     (with J. Gómez-Serrano, J. Park,  and Y. Yao) Philosophical Transactions of the Royal Society A. 380, no. 2226, 20210045 (2022)

•  Symmetry in stationary and uniformly-rotating solutions of active scalar equations

(with J. Gómez-Serrano, J. Park,  and Y. Yao) Duke Mathematical Journal, 170, no. 13, 2957-3038 (2021).

• Infinite-time Exponential Growth of the Euler Equation on Two-dimensional Torus

      (with Z. Lei) arXiv:1608.07010

AWM Dissertation Prize 2023