Physical & Biological Sciences Division
Professor
Graduate Vice Chair
Faculty
McHenry Library
McHenry Building Room #4116
Mathematics Department
Ph.D. (2005-2011), Johns Hopkins University
B.S. (2001-2005), University of Science and Technology of China
Longzhi Lin works on geometric partial differential equations, focusing on geometric flows (such as mean curvature flow and harmonic map heat flow), harmonic and biharmonic maps, minimal surfaces, prescribed mean curvature surfaces (H-surfaces), and min-max theory. His recent research explores the convexity properties of various conformally invariant energy functionals to establish quantitative uniqueness of their critical points — such as conformal-harmonic maps and solutions to the H-surface system — and to develop corresponding min-max constructions.
Geometric Analysis and Partial Differential Equations, more precisely, geometric flows including mean curvature flow and harmonic map heat flow, harmonic maps, minimal surfaces, surfaces of constant mean curvature, and min-max theory.
