Last Update 2018/01/25
My research interests are in the study of the topology of the complement of the discriminant divisor of a semi-universal deformation of an isolated hypersurface singularity, of which homotopy groups are believed to have nice properties. For rational double points, the homotopy groups are fully understood. In other words, the fundamental group is an Artin group and the higher homotopy groups vanish. For the simply elliptic singularities, very little is currently known. I attempt to understand the fundamental groups for these cases through a generalization of the theory of Artin groups.
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