Hi! I am a fifth-year Ph.D. student in Mathematics at MIT, advised by Professor Tobias Holck Colding. My research interests broadly lie in Differential Geometry and Geometric Analysis.
Research
- Optimal regularity for the arrival time equation (with J. Zhu), arXiv:2609.31610.
- General regularity obstructions for the arrival time equation (with J. Zhu), arXiv:2609.31599.
- Regularity of Einstein 5-manifolds via 4-dimensional gap theorems (with T. Ozuch), arXiv:2512.21317.
- On the rate of convergence of cylindrical singularity in mean curvature flow (with X. Zhao), arXiv:2510.23499.
- The bounded diameter conjecture and sharp geometric estimates for mean curvature flow (with W. Jiang), arXiv:2510.17060.
- The nodal sets of solutions to parabolic equations (with W. Jiang), arXiv:2406.05877.
- Volume estimates on singular sets and critical sets for elliptic equations with Hölder coefficients (with W. Jiang), accepted by Amer. J. Math., arXiv:2309.08089.
- Scalar curvature lower bound under integral convergence (with M.-C. Lee), Math. Z., 303 (2023), no. 1, Paper No. 2. 53, arXiv:2111.05079.
- Spectral analysis beyond ℓ² on Sierpinski Lattices (with S. Cao, R. Strichartz, H. Qiu and X. Zhu), J. Fourier Anal. Appl. 27 (2021), no. 3, Paper No. 55, arXiv:1910.01771.
Honours
- Charles W. and Jennifer C. Johnson Prize, MIT, 2026
- Mathworks Fellowship, 2026
- Simons Dissertation Fellowship, Simons Foundation, 2025
- Croucher Scholarship, Croucher Foundation, 2024
- Mathworks Fellowship, 2023
- Frank L. Peterson Fellowship, MIT, 2022
- Best Teaching Assistant Award, CUHK, 2022
- Q.W. Lee Scholarship, CUHK, 2020
