Ben Andrews

Ben Andrews is a Professor at The Australian National University, affiliated with the MATH department. His research interests include differential geometry, with a focus on the geometry of curves, surfaces, and hypersurfaces; Riemannian geometry; effects of local curvature conditions on global geometry and topology; geodesics, minimal surfaces, and related problems; isoperimetric inequalities; and differential geometry associated with conformal and projective transformations. He also explores partial differential equations applied to differential geometry and their applications in areas such as image processing and mathematical biology. His work includes projects on curve shortening flow, eigenvalues of the Laplacian, and minimal surfaces in the sphere.

Ben Andrews is a scholar specializing in Differential Geometry, partial differential equations, and geometric analysis. His research focuses on the evolution of hypersurfaces and convex bodies under geometric flows, including curvature flows and their applications to geometric inequalities. His work explores the convergence of descent methods, contraction of convex hypersurfaces, and the behavior of geometric flows in both Euclidean and Riemannian spaces. He has contributed to significant results such as the proof of the fundamental gap conjecture and the study of mean curvature flow for pinched submanifolds. His research also addresses pinching estimates, noncollapsing properties, and volume-preserving flows, with applications in geometric analysis and differential geometry.