Japan JSPS Program: Shioda's Theory of Mordell-Weil Lattices

9504537利伟诚该奖项为南加州大学数学系的埃里克·利伟诚博士提供为期12个月的日本科学促进会博士后奖学金。这一奖学金机会将使利伟诚博士能够开始与Rikkyo大学数学系的Tetsuji Shioda博士开展合作研究工作。研究人员建议研究Shioda博士的工作在椭圆表面的Mordell-Weil晶格上的可能应用。主要的研究问题是与Mordell-Weil格子相关的Galois表示的大小，以及对椭圆曲线的可能应用。作为一名博士后研究员，利伟诚博士将有机会熟悉基本上由Shioda博士一手发明的椭圆曲面的研究技术和方法。因此，这项建议实现了该计划通过国际合作交流和转让科学知识的目标。***

9504537 Liverance This award supports a 12-month Japan Society for the Promotion of Science Postdoctoral Fellowship for Dr. Eric Liverance of the Mathematics Department at the University of Southern California. This fellowship opportunity will enable Dr. Liverance to begin a collaborative research effort with Dr. Tetsuji Shioda of the Mathematics Department at Rikkyo University. The investigators propose to study possible applications of Dr. Shioda's work on Mordell-Weil lattices of elliptic surfaces. The main research question is he size of the Galois representation associated to the Mordell-Weil lattice, and possible applications to elliptic curves. As a postdoctoral fellow, Dr. Liverance will have the opportunity to become familiar with research techniques and methodology invented essentially single-handedly by Dr. Shioda for the elliptic surfaces. Therefore, this proposal fulfills the objectives of the Program in its exchange and transfer of scientific knowledge through an international collaboration. ***