معرفی
Pengfei Guan is a Distinguished James McGill Professor in the Department of Mathematics and Statistics at McGill University. He specializes in geometric analysis and nonlinear partial differential equations, with a focus on curvature flows, prescribed curvature problems, and fully nonlinear PDEs. His research bridges differential geometry and analysis, addressing topics such as the Christoffel-Minkowski problem, quermassintegral inequalities, and geometric flows in warped product spaces.
Notable contributions include advancements in curvature estimates for hypersurfaces, entropy analysis in Gauss curvature flows, and proofs of uniqueness theorems for convex surfaces. Guan's work often appears in top-tier journals like Duke Math Journal, Inventiones Mathematicae, and Communications on Pure and Applied Mathematics. He maintains active collaborations in geometric analysis and hosts the Geometric Analysis Seminar at McGill.
His research interests are reflected in publications spanning geometric flows, curvature equations, and the interplay between PDE theory and geometric structures.
