Mathematical Sciences: Trace Forms and Stickelberger Relations

Morales教授将研究与 正规驯服扩张中积分迹形式 领域的 他想看看是否有像斯蒂克伯格这样的人 的字段中与跟踪表单关联的类的条件 甚至程度。 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题， 数学：数论和几何。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中， 纠错码 这些准则对现代和 计算机（硬盘）和光盘。

Professor Morales will study invariants associated to integral trace forms in normal tame finite extensions of number fields. He wants to see whether there are Stickelberger like conditions for classes associated to trace forms in fields of even degree. This project falls into the general area of arithmetic geometry - a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.