Scientific Computing Research Environments for the Mathematical Sciences

路易斯安那州立大学（LSU）数学系将购买配置为并行虚拟机的工作站的客户机-服务器网络，这些设备将专门用于支持数学科学的研究。该设备将用于几个研究项目：求解多元多项式系统、Siegel模三倍的上同调、结点和链路基本群的表示理论、矩阵可表示性和可扩展网络科学计算。这些项目涉及密集的符号、代数和数值计算，需要速度、内存、网络连接和有效代码开发和交互式图形显示的工具。本建议将提供工作站，以支援研究数学的专业研究工具，并启动一个研究实验室，以实现和配置一个分布式网络计算环境，从而提高数学研究人员的竞争力和生产力。该实验室将有助于研究小组之间的交流，并支持研究生的研究和论文项目。最后，该资助为数学科学的多学科研究和教育提供了一个坚实的框架，并与计算机科学和工程合作。

The Department of Mathematics at the Louisiana State University (LSU) will purchase a client-server network of workstations configured as parallel virtual machines, equipment which will be dedicated to the support of research in the mathematical sciences. The equipment will be used for several research projects: Solving Multivariate Polynomial Systems, Cohomology of Siegel Modular Threefolds, Representation Theory of the Fundamental Groups of Knots and Links, Matroid Representability and Scalable Network Scientific Computing. The projects involve intensive symbolic, algebraic and numeric computations which require speed, memory, network connectivity and tools for efficient code development and interactive graphical display.This proposal will enhance the competitiveness and productivity of the researchers in mathematics by supplying workstations to support the specialized research tools available in research mathematics, by initiating a research laboratory to implement and configure a distributed network computing environment. The laboratory will aid communication among the research groups as well as support graduate student research and dissertation projects. Finally, the grant proposes a solid framework for multidisciplinary research and education in the mathematical sciences with collaboration from computer science and engineering.