Subgroups of simple rings/theory of coagulation

这个项目的前半部分涉及简单环的结构和性质，这些数学对象在纯数学的许多分支中以及在其他科学领域的应用中都是基本重要的。例如，这个项目的目标之一是精确理解基团的投影表示--这是研究原子和晶体结构以及固体物理等科学领域的重要工具。

The first half of this project deals with the structure and properties of simple rings, mathematical objects that are of fundamental importance in many branches of pure mathematics, as well as in applications to other areas of science. One of the goals of this project, for example, is to gain a precise understanding of projective representations of groups - important tools in such areas of science as the study of the structure of atoms and crystals, and solid-state physics.