Mathematical Sciences: Geometric Topology

[8912126] Shaneson Shaneson计划研究奇异空间的局部和全局分析以及拓扑，特别是代数变异。他还计划继续研究一些关于4-流形的开放性问题。此外，他和Mark Steinberger（纽约州立大学奥尔巴尼分校）将继续追求线性表示的分类，直到拓扑相似性。这些都是几何拓扑学的核心问题，如果历史可以作为我们的指导，其中一些问题可以在适当的时间延迟后迁移到理论物理中。

8912126 Shaneson 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. In addition, he and Mark Steinberger (SUNY at Albany) will continue to pursue the classification of linear representations up to topological similarity. 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.