Mathematical Sciences: Los Angeles Number Theory Group

该奖项授予加州理工学院洛杉矶数论小组，这是数学科学研究小组的一项研究活动。该小组的四位主要成员是加州理工学院的Dinakar Ramakrishnan教授，以及加州大学洛杉矶分校的Haruzo Hida、Jonathan Rogawski和Don Blasius教授。该奖项的目的是使自同构形式和表征领域的外部研究人员能够访问大洛杉矶地区。非欧几里得平面几何开始于19世纪初，当时只是数学上的一种好奇，但到19世纪末，数学家们已经意识到，许多具有根本重要性的物体在其基本性质上都是非欧几里得的。对非欧几里得平面几何的详细研究产生了现代数学的几个分支，其中模和自同构形式的研究是最活跃的分支之一。这个领域主要关注关于整数的问题，但在使用几何和分析时，它保留了与历史根源的联系。

This award to the California Institute of Technology supports the Los Angeles Number Theory Group, a research activity in the category of Mathematical Sciences Research Groups. The four principal members of the Group are Professors Dinakar Ramakrishnan of Caltech, and Haruzo Hida, Jonathan Rogawski, and Don Blasius of the University of California, Los Angeles. The purpose of the award is to make possible visits to the greater Los Angeles area by outside researchers in the field of automorphic forms and representations. Non-Euclidean plane geometry began in the early nineteenth century as a mathematical curiosity, but by the end of that century, mathematicians had realized that many objects of fundamental importance are non-Euclidean in their basic nature. The detailed study of non-Euclidean plane geometries has given rise to several branches of modern mathematics, of which the study of modular and automorphic forms is one of the most active. This field is principally concerned with questions about the whole numbers, but in its use of geometry and analysis, it retains connection to its historical roots.