Mathematical Sciences: Geometry of Submanifolds/InjectivityProblems in Geometry

Smyth教授将继续他对欧氏空间中超曲面的主曲率集的研究，并将以前发展的一些技巧推广到常曲率空间。所得结果可用于推广等参超曲面的经典结果。泽维尔将继续研究完全嵌入的单连通极小曲面以及与代数曲线几何的关系。

Professor Smyth will continue his research on sets of principal curvatures of hypersurfaces in Euclidean space and to extend some of the techniques previously developed to spaces of constant curvature. The anticipated results may be employed to obtain some interesting generalizations of previous classical results for isoparametric hypersurfaces. Xavier will continue his research on the study of complete embedded simply-connected minimal surfaces and relationships with algebraic curve geometry.