Research Articles:

In press/Accepted 

1.  (Joint with Chen, J.)  The space of compact self-shrinking solutions to the Lagrangian mean curvature flow in C^2, J. Reine Angew. Math. 743, 229-244 (2018). 

2.  Parabolic Omori-Yau maximum principle for mean curvature flow and some applications, J. Geom. Anal. 28, No. 4, 3183-3195 (2018). 

3. (Joint with Lee, M.-C.) Uniqueness Theorem for non-compact mean curvature flow with possibly unbounded curvatures, Comm. Anal. Geom. 29 (2021), no. 6, 1475–1508.

4. (Joint with Chen, J.) Geometry of Lagrangian self-shrinking tori and applications to the Piecewise Lagrangian Mean Curvature Flow, Am. J. Math. 143, No. 1, 227-264 (2021).

5. (Joint with Chen, J.) On the Compactness of Hamiltonian Stationary Lagrangian Surfaces in Kähler Surfaces, Calc. Var. Partial Differ. Equ. 60, No. 2, Paper No. 75, 23 p. (2021).

6. Ancient solutions to the Curve Shortening Flow spanning the halfplane, Trans. Am. Math. Soc. 374, No. 6, 4207-4226 (2021).

7. (Joint with Muhammad, A. and Møller, N. M.) Entropy Bounds, Compactness and Finiteness Theorems for Embedded Self-shrinkers with Rotational Symmetry, J. Reine Angew. Math. 793, 239-259 (2022)

8. (Joint with Ooi, S.Y. and Pyo, J.) Rigidity results for graphical translators for the mean curvature flow moving in non-graphical direction, to appear in Proceeding of the AMS.

9.  (Joint with Muhammad, A.) Entropy bounds for self-shrinkers with symmetries, to appear in J. Geom. Anal. 

Preprint/In preparation: 

1. (Joint with Chen, J.) On the compactness of Hamiltonian stationary Lagrangian submanifold in symplectic manifolds, submitted

2. Blowdown and entropy of embedded translators in R^3, in preparation.