Mathematical Sciences/GIG: Geometry, Analysis and Topology: Research, Technology, Industry and Education

数学科学/GIG：几何、分析和拓扑：研究、技术、工业和教育

• 批准号: 9632028
• 负责人: Peter Stiller
• 金额: $ 40.03万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-09-01 至 2000-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9632028&HistoricalAwards=false
• 关键词: Mathematical; Sciences; GIG; Geometry; Analysis

The group in Geometry, Analysis, and Topology (GAT) at Texas A&M University is an interdisciplinary group of mathematical researchers in the areas of Algebraic Geometry, Algebraic Topology, Differential Geometry, Geometric Analysis, and Several Complex Variables. In addition to basic research, this group is engaged in the development of innovative programs linking traditional areas in pure mathematics to cross-disciplinary research, industry, technology, and education. The Group Infrastructure Grant (GIG) will provide the funding to build a research infrastructure that will nurture both fundamental mathematical research and its application in cross-disciplinary science and engineering, in industrial mathematics, and in education and training. The group's current and recent interdisciplinary initiatives include applications in chemistry, robotics, visualization, geometric modeling, computational geometry, operations research, computer-aided design, symbolic computation, image understanding, discrete optimization, integer programming, database indexing, and scientific computation. In addition, a successful industrial mathematics program is being developed through joint research and cooperative ventures. Educational and training initiatives are being developed utilizing the World Wide Web, industrial and cross-disciplinary co-ops, mathematical technology courses (TeX, Maple/Mathematica, and WWW) aimed at secondary school instructors, Maple supported undergraduate instruction, and a vigorous program of scientific seminars and conferences. All of these efforts will be strengthened under the Group Infrastructure Grant, affording the GAT group the opportunity to enhance its scientific programs and expand its outreach activities.

在几何，分析和拓扑（GAT）在得克萨斯州A M大学组是一个跨学科的数学研究人员在代数几何，代数拓扑，微分几何，几何分析和几个复杂的变量的领域。 除了基础研究之外，该小组还致力于开发将纯数学传统领域与跨学科研究，工业，技术和教育联系起来的创新项目。集团基础设施补助金（GIG）将提供资金，以建立一个研究基础设施，这将促进基础数学研究及其在跨学科科学和工程，工业数学以及教育和培训中的应用。 该小组目前和最近的跨学科计划包括化学，机器人，可视化，几何建模，计算几何，运筹学，计算机辅助设计，符号计算，图像理解，离散优化，整数规划，数据库索引和科学计算的应用。 此外，一个成功的工业数学计划正在通过联合研究和合作企业开发。 教育和培训计划正在开发利用万维网，工业和跨学科的合作社，数学技术课程（TeX，Maple/Mathematica和WWW）针对中学教师，Maple支持的本科教学，以及科学研讨会和会议的有力计划。 所有这些努力都将在集团基础设施赠款下得到加强，使GAT集团有机会加强其科学计划并扩大其推广活动。