Research interests of Uwe F. Mayer

While working in academia, mathematically I was interested in partial differential equations, evolution problems, free boundary problems, global analysis, differential geometry, and numerical simulations. My published work concentrates on geometric free boundary problems. For those problems, one has an initial curve or surface and a mathematical law which describes how the surface should evolve. The best known example is the one where the normal velocity is the mean curvature of the surface (possibly minus its average to force preservation of enclosed volume). However, there are many others, for example the Mullins-Sekerka flow, the surface diffusion flow, or the Willmore flow. Follow this link if you want to see a few numerical simulations. Besides on free boundary problems, I also previously worked on nonpositively curved metric spaces, in particular on questions concerning gradients.

For the last several years I focused my interest on data mining and machine learning. I have several publications and patent applications in these areas as well.

Research Publications

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Patents

Other Publications

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Acknowledged in Publications by Others


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Last updated: Tue Sep 23 13:01:21 MDT 2008