Ben Andrews
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



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 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.

  • Tumbling stones and their eventual shapes;
  • Image processing;
  • Moving interfaces, phase changes, and related problems;
  • Reaction-Diffusion systems in mathematical biology;


Personal interests


ACT Rogaining association

Orienteering ACT

ACT Hockey Association