Mathematical Sciences: Topology

该项目涉及广泛的主题， 围绕拓扑，从代数K理论，研究天鹅， 结理论，研究奥尔。 中心焦点是同伦的 理论和高维流形理论。 霍普金斯和 Devinatz研究了稳定同伦理论的整体结构。 秸秆研究不稳定同伦理论的结构。 可以 和Liulevicius研究了各种各样的主题在等变 代数拓扑 罗森伯格和温伯格研究小组 流形上的作用和几何拓扑学的相关领域。 来自丹麦的马德森将继续与 Rothenberg论有限群作用。 四个高级研究生 学生们也在教师的指导下从事相关研究。 方向

This project deals with a broad range of topics in and around topology, from algebraic K-theory, studied by Swan, to knot theory, studied by Orr. The central foci are homotopy theory and high-dimensional manifold theory. Hopkins and Devinatz study the global structure of stable homotopy theory. Stover studies the structure of unstable homotopy theory. May and Liulevicius study a variety of topics in equivariant algebraic topology. Rothenberg and Weinberger study group actions on manifolds and related areas of geometric topology. Madsen, visiting from Denmark, will continue joint work with Rothenberg on finite group actions. Four advanced graduate students are also engaged in related research under faculty direction.