研究领域

主要研究领域为共形几何及其相关的微分方程, 具体的课题包括: $Q$ 曲率与积分方程，扰动方法，共形不变的边界算子. 此外, 我对各种几何不等式以及几何流也有很浓厚的兴趣.。

教育背景

本科，西北工业大学，2014-2018

硕士，南京大学，2018-2021

博士，南京大学，2021-2025

荣誉与奖励

1. 2025博士后创新人才计划A档（博新计划）

2. 2025 清华大学水木学者

论文发表

1. S. Zhang, A Liouville-type theorem of the linearly perturbed Paneitz equation on  $\S^3$,  Int. Math. Res. Not. IMRN (2023), no. 2, 1730–1759.

2. Y. Xu and S. Zhang, On some rigidity theorems of Q-curvature,  Manuscripta Math. (2024), no. 1-2, 535–557.

3. S. Zhang, The sharp type Chern-Gauss-Bonnet integral and asymptotic behavior, Adv. Math.  450 (2024), Paper No 109761, 36pp.

4. S. Zhang, The non-degenerate condition for prescribed Q curvature problem on $\S^n$, Results in Mathematics. 79, (2024), no. 5, Paper No. 189.

5. X. Chen and S. Zhang, A sharp Sobolev trace inequality of order four on three-balls, accepted by Journal d'Analyse Mathématique.

6. S. Zhang, The moving plane method and the  uniqueness of high order elliptic equation with GJMS operator,  accepted by Proceedings of the Royal Society of Edinburgh. Section A. Mathematics.

7. X. Chen and S. Zhang, Constrained Moser-Trudinger-Onofri inequality and a uniqueness criterion for the mean field equation, accepted by Calc. Var. Partial Differential Equations.