Ben Andrews
BSc PhD ANU
Fellow of the Australian Academy of Science
Fellow of the American Mathematical Society
Fellow of the Australian Mathematical Society
Senior Fellow
Centre for Mathematics and its Applications
Office: Room 2131B, John Dedman Mathematical Sciences
Building
Telephone: 6125 3458
Fax: 6125 5549
email:
Ben.Andrews@anu.edu.au
Research
I am a member of the
Applied and Nonlinear Analysis Research Group
of the Mathematical Sciences Institute.
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 semiRiemannian
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;
 ReactionDiffusion systems in mathematical biology;
Publications
Personal interests
ACT Rogaining association
Orienteering ACT
ACT Hockey Association
