Mathematical Sciences: Stark's Conjectures on Number Fields and Theory Fields

该奖项支持海耶斯教授从事数论的研究。海斯教授将在班级场论中阐述斯塔克的猜想。这些猜想是对著名的希尔伯特12问题提出的问题的巧妙和高度原创性的回答。海斯教授已经在函数域上给出了阿贝尔斯塔克猜想的构造性证明，现在他希望将他的见解应用于数域的情况。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 award supports the research of Professor Hayes to work in number theory. Professor Hayes will be addressing Stark's conjectures in class field theory. These conjectures are an ingenious and highly original answer to the questions raised by the famous 12 problem of Hilbert. Professor Hayes has given constructed proofs of the abelian Stark conjectures in function fields and he now hopes to apply his insights to the number field case. 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.