Research Areas

Geometric Analysis and Partical Differential Equations

Education

2021.09 - 2025.06 Ph.D. in School of Mathematics, Nanjing University

2018.09 - 2021.06 M.S. in School of Mathematics, Nanjing University

2014.09 - 2018.06 B.S. in School of Mathematics and Statistics, Northwestern Polytechnical University

Awards

2025 Postdoctoral Innovative Talent Program, Grade A

2025 Shuimu Tsinghua Scholar, Tsinghua University

Publications

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.