Mathematical Sciences: Homotopy Theory

道格拉斯C. Ravenel一直在努力，并将继续 研究拓扑学中使用的代数技巧。 合作 与美国各地的其他各种机构合作，他揭示了 有限群的分类空间的Morava K-理论 MO（8）在素数3处的同伦型，以及在一个新的椭圆型上， 上同调理论的明显兴趣的物理学家（通过 弦理论）和数论。 继续开展这一 研究还将包括同伦的一些机器计算 球的群体。

Douglas C. Ravenel has been working and will continue to work on algebraic techniques used in topology. In collaboration with various others across the U.S., he has shed light on the Morava K-theory of the classifying space of a finite group, on the homotopy type of MO(8) at the prime 3, and on a new elliptic cohomology theory of apparent interest to physicists (through string theory) and to number theorists. The continuation of this research will also include some machine computation of homotopy groups of spheres.