Hi there! My name is Ruijia Zhang. I am currently engaged in postdoctoral research at Peking University, working under the guidance of Professor Yuguang Shi. In 2023, I earned my Ph.D. from Tsinghua University under the supervision of Professor Haizhong Li. My research interests lie in differential geometry and partial differential equations, with a recent focus on geometric flows and their applications.

My short CV can be downloaded here.

News

• [08/2024] My new preprint $C^2$ estimates for $k$-Hessian equations and a rigidity theorem is out!
• [08/2024] Our new preprint Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$ is out! This is a joint work with Dr Han Hong.
• [03/2023] I will commence my postdoctoral research at Peking University under the mentorship of Professor Yuguang Shi.
• [01/2023] I earned my Ph.D. from Tsinghua University.

Publication

• Asymptotic convergence for a class of anisotropic curvature flows (with Haizhong Li and Botong Xu), The Journal of Functional Analysis, 2022, 282(12), Paper No. 109460, 34 pp.
• A flow approach to the prescribed Gaussian curvature problem in $\mathbb{H}^{n+1}$ (with Haizhong Li), Advances in Calculus of Variations, 2024, 17(3), 521–543.
• A curvature flow approach to $L^p$ Christoffel-Minkowski problem for $1<p<k+1$, Results in Mathematics, 2024, 79(2), Paper No. 53, 22 pp.
• Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$ (with Han Hong), arXiv:2408.09428.
• $C^2$ estimates for $k$-Hessian equations and a rigidity theorem, arXiv:2408.10781.

Education&Employment

Postdoctor in Key Laboratory of Mathematics and Its Applications, Peking University, 2023-Now (under the mentorship of Professor Yuguang Shi)
PhD in Department of Mathematical Sciences, Tsinghua University, 2017-2022 (under the supervision of Professor Haizhong Li)
BSc in Mathematics, Sichuan University, 2013-2017