Mathematical Sciences: Structure of the Ideal Class Group

这项研究计划拨款将使研究人员能够继续研究代数数域的理想类群的结构。特别是，她将研究复合词的类群与子域的类群是如何联系的。这是数论领域的研究。数论始于整数和诸如一个整数被另一个整数整除的问题。它是最古老的数学领域之一，最初是出于纯粹的美学原因。然而，在过去的半个世纪里，它已经成为开发计算机科学的新算法和电子产品的新纠错码的必要工具。

This research planning grant will enable the researcher to continue her investigation into the structure of the ideal class group of algebraic number fields. In particular, she will study how the class group of a compositum relates to those of the subfields. This is research in the field of number theory. Number theory starts with the whole numbers and questions such as the divisibility of one whole number by another. It is among the oldest fields of mathematics and it was originally pursued for purely aesthetic reasons. However, within the last half century, it has become an essential tool in developing new algorithms for computer science and new error correcting codes for electronics.