Mathematical Sciences: A Study of Finite Semifield Planes

该奖项支持M. Cordero- Vourtsanis教授在组合学方面的研究。她打算研究一类由非结合代数协调的有限仿射平面。她打算对核上的3阶和奇数维的有限平移平面，在无穷远的直线上具有特殊轨道的平移平面，以及承认p基元贝尔共直的一类进行分类。这项研究属于组合学的一般领域。组合学试图找到有效的方法来研究如何组织离散的对象集合。因此，它对现代通信非常重要，例如电话系统中大型网络的设计以及计算机科学中算法的设计。

This award supports the research of Professor M. Cordero- Vourtsanis to work in combinatorics. She intends to study a class of finite affine planes coordinatized by nonassociative algebras. She intends to classify finite translation planes of rank 3 and odd dimension over their kernel, those with specialized orbits in the line at infinity, and a class that admits a p-primitive Baer collineation. This research is in the general area of combinatorics. Combinatorics attempts to find efficient methods to study how discrete collections of objects can be organized. And, so it is extremely important to modern communications, for example the design of large networks as in telephone systems and the design of algorithms in computer science.