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, Henri Anciaux and Madeeha Khalid. For a list of my publications, with summaries click here.

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

Any contributions would be welcomed.

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