Research & Talks

My research interests lie in Yamabe Invariants and Mathematical Relativity.

Here are my works on Yamabe Invariants:

On the Stability of the Yamabe invariant of $S^3$, joint with Liam Mazurowski (02/2024)

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)

Here are my works on Mathematical Relativity:

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 scalar curvature:

Generalized S^1 stability theorem. joint with Tongrui Wang (09/2023)