معرفی
Siyuan Lu is an Associate Professor in the Department of Mathematics and Statistics at McMaster University. He holds a PhD from McGill University (2017) and a BS from the University of Science and Technology of China (2012). His research focuses on geometric analysis, partial differential equations (PDEs), and their applications in general relativity and differential geometry. Key interests include fully nonlinear PDEs arising from geometry, curvature estimates, and problems in hyperbolic and Riemannian spaces.
Lu’s work addresses topics such as the asymptotic Plateau problem, Monge-Ampère equations, and geometric flows. Notable contributions include studies on the σ₂-Nirenberg problem, Weyl’s embedding problem, and rigidity aspects of the Riemannian Penrose inequality. His research also intersects with general relativity, examining quasi-local mass and scalar curvature properties of manifolds.
- Education: PhD in Mathematics (McGill University, 2017), BS in Mathematics (USTC, 2012)
- Labs/Teams: Research group focused on geometric PDEs and applications in relativity
- Teaching: Teaches advanced calculus, geometric topology, and differential geometry courses at both undergraduate and graduate levels
Advising includes supervision of MSc student Bin Wang, whose work on curvature estimates in hyperbolic space led to publication. Lu has collaborated with researchers like Pengzi Miao and Yanyan Li on geometric analysis projects, contributing to over 15 peer-reviewed articles since 2017. His preprints explore interior estimates for Hessian equations and their applications to geometric variational problems.
