In this talk, we will introduce the constant rank theorem, a technique to study the convexity of solutions to PDEs. In particular, some strict power convexity results for fully nonlinear PDEs by the Constant Rank Theorem method, which is a joint work with Haohao Jia，Jiawei Xiong and Yan Ma，will be particularly discussed.

Speaker Biography: Chuanqiang Chen

Professor Chuanqiang Chen is a Doctoral Supervisor at the School of Mathematics and Statistics, University of Ningbo. He was awarded the Zhejiang Provincial Natural Science Fund for Distinguished Young Scholars in 2021 and was selected for the National-Level Young Talents Program in 2022.

His research primarily focuses on fully nonlinear partial differential equations (PDEs) and geometric analysis. He has achieved a series of significant results in several areas, including the strict space-time convexity of solutions to PDEs, Minkowski-type problems in convex body geometry, interior second derivative estimates for Hessian-type equations, and Neumann boundary value problems for Hessian-type equations.

Professor Chen has published over twenty research papers in prestigious international journals such as Memoirs of the AMS, Mathematische Annalen, Advances in Mathematics, Analysis & PDE, Calculus of Variations and PDEs, International Mathematics Research Notices, Indiana University Mathematics Journal, and Science China Mathematics.

He has presided over several national-level research projects, including one Young Scientist Fund and two General Projects from the National Natural Science Foundation of China (NSFC). His outstanding contributions have been recognized with multiple awards, including the Xinjiang Uygur Autonomous Region Natural Science Award (Third Class, 2020), the Zhejiang Mathematical Society Scientific Research Achievement Award (First Class, 2021), and the Higher Education Outstanding Scientific Research Output Award (Natural Science) from the Ministry of Education of China (First Class, 2023).