研究兴趣是度量空间中的拟共形映射和拟正则映射，还有几何参数化问题。

已发表论文

1. J. Liu and Y. Xuan*, Exterior John domains and Quasisymmetric maps, Computational Method and Function Theory, publish online.

2. Y. Xuan, Weighted fractional Sobolev-Poincare inequalities in irregular domains, Acta Mathematica Sinica, Chinese Series, accepted, 2023.

3. C.-Y. Guo and Y. Xuan*, A note to‘'Radial limits of quasiregular Local Homeomorphisms'', Pure and Applied Functional Analysis, accepted, 2023.