Mathematical Sciences: Intertwining Operators, R-groups and Automorphic L-Functions

该奖项支持数论和表征理论的研究。主要研究奇维拟分裂酉群和特殊正交群的任意极大抛物子群上的标准交织算子的极点。他还将继续研究相似组的缓和谱。该奖项还支持主要研究人员在数论和表示理论方面建立一系列课程的努力。数论是对整数性质的研究，是数学中最古老的分支。从一开始，数论中的问题就为这门学科的几乎所有部分提供了创造新数学的动力。朗兰程序是一种将数论与微积分联系起来的一般哲学。现代数论是非常技术性和深奥的，但在理论计算机科学和编码理论等领域有着惊人的应用。

This award supports research in number theory and representation theory. The principal investigator will work on determining the poles of standard intertwining operators attached to arbitrary maximal parabolic subgroups of quasi-split unitary groups and special orthogonal groups in odd dimensions. He will also continue research on the tempered spectrum of similitude groups. This award also supports the principal investigators efforts to establish a series of courses in number theory and representation theory. Number Theory is the study of properties of the whole numbers and is the oldest branch of mathematics. From the beginning problems in number theory have furnished the driving force to create new mathematics in almost all parts of the discipline. The Langland's program is a general philosophy that connects number theory with calculus. Modern number theory is very technical and deep, but has had astonishing applications in areas like theoretical computer science and coding theory.