Scientific Computing Research Environments for the Mathematical Sciences

路易斯安那州立大学(LSU)数学系将购买一个客户端-服务器工作站网络，配置为并行虚拟机，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模三折的上同调、结环基本群的表示理论、拟阵表示和可扩展网络科学计算。这些项目涉及密集的符号、代数和数字计算，需要速度、内存、网络连接和有效代码开发和交互图形显示的工具。这项建议将通过提供工作站支持研究数学中现有的专门研究工具，通过发起一个研究实验室来实施和配置分布式网络计算环境，来提高数学研究人员的竞争力和生产力。该实验室将帮助研究小组之间的沟通，以及支持研究生研究和学位论文项目。最后，与计算机科学和工程学合作，该赠款为数学科学的多学科研究和教育提出了一个坚实的框架。

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.