I’m a fourth-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

  1. Uniqueness of asymptotically cylindrical steady gradient Ricci solitons. Preprint. [arXiv]

Status (Sept 5, 2025). An issue with Lemma 3.11 affects Proposition 3.6 and the results depending on it, so the paper’s main claims do not currently hold as written. The lemma was adapted from Ref. [25]; upon re-examination, the formulation used here is incorrect. Any errors are my own. Other sections remain accurate conditional on a correct proof of Proposition 3.6. I will update the arXiv once a correction is either available or seems beyond reach.

  1. Drift-harmonic functions with polynomial growth on asymptotically paraboloidal manifolds. Preprint. [arXiv]
  2. Concavity for elliptic and parabolic equations in locally symmetric spaces with nonnegative curvature (with Shrey Aryan). Calc. Var. Partial Differential Equations. Vol. 64, No. 202, 2025. [journal] [arXiv]
  3. 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] [arXiv]

Other writing

  1. Uniqueness of tangent flows in mean curvature flow. Undergraduate honours thesis, ANU. Advised by Prof. Ben Andrews.
  2. Characteristic classes for the differential geometer. Term paper for Gauge Theory and Symplectic Geometry, ANU.
  3. The No Wandering Domains theorem. Term paper for Riemann Surfaces, ANU.
  4. Jacobi fields, conjugate points and some applications. Term paper for Differential Geometry, ANU.
  5. 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.
  6. Label-noise robust twin auxiliary classifier GANs. Research report for SCIE30001, University of Melbourne. Advised by Dr. Mingming Gong.