Mathematical Sciences: Arithmetic Theory of Integral Quadratic Forms

本基金资助夏教授从事数论方面的研究。夏教授将继续研究积分二次型的运算。特别是，他将研究正定二次型的表示理论。他还打算继续研究旋子属的Iwasawa类型理论。这是数论领域的研究。数论从整数和诸如整数能被整数整除之类的问题开始。它是数学中最古老的领域之一，最初纯粹出于审美原因而追求它。然而，在过去的半个世纪里，它已经成为开发计算机科学新算法和电子学新纠错码的重要工具。

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.