Mathew Langford
- Research Interests
- Curvature driven parabolic equations, including Ricci flow, mean curvature flow and flows of curves; but particularly fully non-linear flows of surfaces and hypersurfaces by functions of the principal curvatures; isoperimetric inequalities, minimal surfaces and harmonic maps, and other variational problems; applications of these techniques to global differential geometry and general relativity.
- Publications
- ``Non-collapsing in fully nonlinear curvature flows'', Ann. I. H. Poincaré 30 (2013) no. 1, 23--32 (with Ben Andrews and James McCoy)
- Preprints
- ``Convexity estimates for hypersurfaces moving by convex curvature functions'' (with Ben Andrews and James McCoy) To appear in Analysis and PDE
- ``Convexity estimates for fully non-linear surface flows'' (with Ben Andrews and James McCoy)
- Recent Talks
- Curvature Flows and Applications (notes)
- Singularities of the Mean Curvature Flow (notes)
- The Soul Theorem (notes)
- The Lawson Conjecture (notes)
- Resources
- General Relativity
- Email Address
- Mathew.Langford at anu dot edu dot au
- Postal Address
- Centre for Mathematics and its Applications,
- Mathematical Sciences Institute,
- John Dedman Building 27,
- Australian National University,
- Canberra, ACT, 0200, Australia
- Office
- Room 1001, P.A.P. Moran building 26b
- Phone
- (61-2) 6125 3829
- FAX
- (61-2) 6125 5549
- Links
-
Applied and Nonlinear Analysis Program
-
Mathematical Sciences Institute, ANU
- MSI People Page
|