Brendan Guilfoyle

My technical expertise is mainly in the area of differential geometry, and the research topics I am interested in include, on the pure mathematical side:

Kaehler geometry
indefinite metrics
submanifold theory
mean curvature flow

and on the more applied side:

general relativity
geometric optics
bio-imaging and shape analysis

I have six main projects that I'm currently working on with a number of collaborators, including Wilhelm Klingenberg For an (oldish) list of my publications, with summaries click here.

I have recently become interested in 4-manifold topology and have asked three questions on mathoverflow.net regarding 4-manifolds:

Independent evidence for the classification of topological 4-manifolds?
Fake versus Exotic
The Freedman Dichotomies

Any contributions would be welcomed.

Below is a recent talk I gave on the following preprints:

A Converging Lagrangian Curvature Flow in the Space of Oriented Lines
Parabolic Classical Curvature Flows