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