/ School of Mathematics
Partial Differential Equations
Kyeongsu Choi works on elliptic and parabolic PDEs and Geometric analysis. His research interests include singularity analysis for geometric flows. With his collaborators, he settled the mean convex neighborhood conjecture for the mean curvature flow to show the well-posedness around stable singularities. In addition, with other collaborators, he made contribution to the generic mean curvature flow by providing a way to avoid unstable singularities.
He is also interested in fully nonlinear PDEs and free boundary problems. With other collaborators, he settled the Firey's conjecture for the Gauss curvature flow in all dimensions to investigate the asymptotic behavior of closed solutions.