I’m a third-year math PhD candidate at MIT, working on problems in differential geometry, geometric analysis, and partial differential equations. My advisor is Prof. William Minicozzi.
I grew up in Hong Kong. Before MIT, I studied at the Australian National University and the University of Melbourne.
Research
- Uniqueness of asymptotically cylindrical steady gradient Ricci solitons. Preprint. [arXiv:2505.20576].
- Drift-harmonic functions with polynomial growth on asymptotically paraboloidal manifolds. Preprint. [arXiv:2501.05119].
- Concavity for elliptic and parabolic equations in complex projective space (with Shrey Aryan). To appear in Calc. Var. Partial Differential Equations. [arXiv:2403.16783].
- Positive mass and Dirac operators on weighted manifolds and smooth metric measure spaces (with Isaac M. Lopez and Daniel Santiago). J. Geom. Phys. Vol. 209, No. 105386, 2025. [journal link][arXiv:2312.15441].
Other writing
- Uniqueness of tangent flows in mean curvature flow. Undergraduate honours thesis, ANU. Advised by Prof. Ben Andrews.
- Characteristic classes for the differential geometer. Term paper for Gauge Theory and Symplectic Geometry, ANU.
- The No Wandering Domains theorem. Term paper for Riemann Surfaces, ANU.
- Jacobi fields, conjugate points and some applications. Term paper for Differential Geometry, ANU.
- Topological phases in quantum systems with quantum group symmetries. AMSI VRS research report, Australian Mathematical Sciences Institute/University of Melbourne. Advised by Dr. Thomas Quella.
- Label-noise robust twin auxiliary classifier GANs. Research report for SCIE30001, University of Melbourne. Advised by Dr. Mingming Gong.