张瑞珈，2017年本科毕业于四川大学，2023年初于清华大学数学科学系获博士学位，2023年至2025年在北京大学数学学院从事博士后研究。2025年8月入职中山大学数学学院，预聘助理教授，博士生导师、硕士生导师。
研究领域
微分几何，几何分析
学术论文
1. Entropy and round-point convergence for the $\sigma_k$-curvature flow (with Tianci Luo, Yong Wei and Rong Zhou). Preprint, arXiv:2611.03249.
2. Curvature quotient flows and Alexandrov-Fenchel inequalities in hyperbolic space (with Tianci Luo, Yong Wei and Rong Zhou). Preprint, arXiv:2610.35707.
3. Interior Hessian estimates for Hessian quotient equations (with Weisong Dong). Preprint, arXiv:2608.19087.
4. Second order estimates for equations with sums of Hessian operators on Hermitian manifolds (with Weisong Dong). Preprint, arXiv:2603.19045.
5. Pogorelov interior estimates for general sum-type Hessian equations (with Weisong Dong and Sirui Xu). Preprint, arXiv:2603.15345.
6. Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $H^{n+1}$ (with Han Hong). Journal of Functional Analysis, 292(1), 2027.
7. $C^2$ estimates for $k$-Hessian equations and a rigidity theorem. Advances in Mathematics, 480, Part A, 2025.
8. A flow approach to the prescribed Gaussian curvature problem in $H^{n+1}$ (with Haizhong Li). Advances in Calculus of Variations, 17(3), 521–543, 2024.
9. A curvature flow approach to $L^p$ Christoffel-Minkowski problem for $1<p<k+1$. Results in Mathematics, 79(2), Paper No. 53, 22 pp., 2024.
10. Asymptotic convergence for a class of anisotropic curvature flows (with Haizhong Li and Botong Xu). Journal of Functional Analysis, 282(12), Paper No. 109460, 34 pp., 2022.
