Mathematical Sciences: Arithmetic Theory of Integral Quadratic Forms

这笔拨款支持夏俊杰教授研究数论中的问题。夏教授将继续研究积分二次型的算术。特别是，他将致力于正定二次型的表示理论。他还打算继续研究岩泽型旋量属理论。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 grant supports the research of Professor J. Hsia to work on problems in number theory. Professor Hsia will continue to work on the arithmetic of integral quadratic forms. In particular, he will work on the representation theory of positive definite quadratic forms. He also intends to continue his study of an Iwasawa type theory for spinor genera. 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.