[ 08/2017 ] - [ 06/2021 ]
[ Institution ] Tsinghua University
[ Degree ] Bachelor of Science
[ 08/2021 ] - [ 05/2025 ]
[ Institution ] Cornell University
[ Program ] Mathematics
[ Degree ] Doctor of Philosophy
My PhD. advisor is Xin Zhou.
“Whatever it is you're seeking won't come in the form you're expecting.” ― Haruki Marakami
My research interests lie in Yamabe Invariants, Mathematical Relativity and Minimal Surfaces.
Here are my works on Yamabe Invariants:
Euclidean Domains with Nearly Maximal Yamabe Quotient, joint with Liam Mazurowski (01/2025).
On the Stability of the Yamabe invariant of $S^3$, joint with Liam Mazurowski (02/2024), to appear in Transactions of the AMS.
Improved Hebey-Vaugon conjecture on equivariant Yamabe invariants in dimension 3. joint with Tongrui Wang (09/2023)
The Yamabe Invariant of $RP^3$ via Harmonic Functions joint with Liam Mazurowski (05/2023)
On the Yamabe invariant of certain compact manifolds with boundary (02/2023), to appear in CVPDE
Here are my works on Mathematical Relativity:
Mass, Conformal Capacity, and the Volumetric Penrose Inequality. joint with Liam Mazurowski (10/2024)
Monotone Quantities for p-harmonic Functions and the Sharp p-Penrose inequality. joint with Liam Mazurowski (05/2023) ,to appear in Mathematical Research Letters.
Here are my works on Positive curvature:
On the topology of manifolds with positive intermediate curvature. joint with Liam Mazurowski and Tongrui Wang (03/2025)
A Note on Scalar curvature comparison rigidity for compact domains. (10/2024)
Scalar curvature comparison and rigidity of 3-dimensional weakly convex domains. joint with Dongyeong Ko (10/2024)
Generalized S^1 stability theorem. joint with Tongrui Wang (09/2023)
Here are my works on minimal surfaces:
Minimal surfaces with low genus in lens spaces. joint with Xingzhe Li and Tongrui Wang (06/2024)
