Mathematical Sciences: Manifolds, Transformation Groups, andSingular Spaces

Steinberger将研究等变的同伦群 分类空间及其稳定性。 他和 Shaneson将继续攻击线性分类 表示到拓扑相似性。 Shaneson计划 研究奇异性的局部和全局分析及拓扑 空间，特别是代数簇。 他 还计划继续研究一些悬而未决的问题， 四维流形 这些都是几何学的中心问题 拓扑结构，其中一些可以预期将迁移到 理论物理学与适当的时滞，如果历史可以 做我们的向导

Steinberger will study homotopy groups of equivariant classifying spaces and their stability properties. He and Shaneson will continue to attack the classification of linear representations up to topological similarity. Shaneson plans to study the local and global analysis and topology of singular spaces in general and of algebraic varieties in particular. He also plans to continue to work on some open questions concerning 4-manifolds. These are all central problems in geometric topology, and some of them can be expected to migrate into theoretical physics with an appropriate time lag, if history can be our guide.