Qiliang Luo

collaborators

3 papers

math.AP2026

Uniformly Rotating Vortex Patches with 90-Degree Corners

De Huang, Jiajun Tong, Xiaopeng Zheng

For the 2-D incompressible Euler equation, we prove the existence of $m$ -fold symmetric uniformly rotating vortex patches with 90-degree corners for all $m \geq 12$ . Properties of t…

math.GT2026

The Effective Ehrenpreis Conjecture

Qiliang Luo

Let $M$ and $N$ be two closed hyperbolic Riemann surfaces. The Ehrenpreis Conjecture (proved by Kahn-Markovic) asserts that for any $I^µ > 0$ there are finite covers $M_{I^} µ \to M$ , and…

math.CV2025

Unique extremality of affine maps on plane domains

Qiliang Luo, Vladimir MarkoviÄ

We prove that affine maps are uniquely extremal quasiconformal maps on the complement of a well distribute set in the complex plane answering a conjecture from \cite{markovic}. We…