Geometric methods in algebra

这个项目将探索几何方法可以用来建立代数结果的方法。我们将研究同胚群，特别关注Thompson群族。所研究的其他同胚群可能包括实直线和圆的同胚S^1。这个项目还可能包括到其他数学领域的链接，包括动力学(特别是符号动力学和移位的自同构)。

This project will explore the ways in which geometric methods may be used to establish results in algebra. Groups of homeomorphisms will be studied, with particular interest paid to the family of Thompson Groups. Other groups of homeomorphisms studied may include homeomorphisms of the real line and of the circle S^1. This project may also include links to other areas of mathematics, including dynamics (and in particular symbolic dynamics and automorphisms of the shift).