Professor Ben Andrews

Professor
John Dedman Building 2131B
+61 2 6125 3458

Profile

Biography

 

Read more about Ben's biography and research interests here

Research

Research interests

Differential geometry: I am interested in many areas of differential geometry, including 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; differential geometry associated with conformal transformations, projective transformations, affine transformations and other groups; general relativity and semi-Riemannian geometry; geometry of convex bodies; Finsler geometry.

Partial differential equations: Partial differential equations applied to differential geometry; heat flows applied to prove results in global differential geometry; moving curves, surfaces and hypersurfaces; deforming Riemannian metrics or connections; smoothing effects of heat flows; minimal surfaces, surfaces of prescribed curvature, and related problems; harmonic functions and harmonic maps, related variational problems; fully nonlinear elliptic and parabolic equations regularity theory; qualitative and asymptotic behaviour nonlinear wave equations, general relativity; eigenvalue problems arising in geometry; integrable systems arising in geometry.

Applications: tumbling stones and their eventual shapes; image processing; moving interfaces, phase changes, and related problems; reaction-diffusion systems in mathematical biology.

Updated:  26 December 2014/Responsible Officer:  Director/Page Contact:  School Manager