Staff -HELMKE, Stefan-

Name HELMKE, Stefan
Position Assistant Professor
E-Mail helmke (email address: add @kurims.kyoto-u.ac.jp)
URL
Research
Stefan Helmke is working on algebraic geometry. In recent years, he worked together with Peter Slodowy on a connection between simple elliptic singularities and affine Kac-Moody groups. Already in 1970, Egbert Brieskorn showed that the unipotent variety of a simple algebraic group has a simple singularities of the corresponding type at the generic point of its singular locus. This explained a before mysterious relation between simple groups and the deformations of simple singularity. It was since then an open problem to extend Brieskorn's result to a larger class of singularities. With the help of the classification of principal bundles over an elliptic curve, they were able to do this in the case of simple elliptic singularities. Another research interest is the study of linear systems. In particular questions around the Fujita Conjecture and generalizations.