Mathematical Sciences: Mount Holyoke Undergraduate Mathematics Summer Research Institute

数学科学：曼荷莲本科数学暑期研究所

• 批准号: 9200844
• 负责人: Mark Peterson
• 金额: $ 14万
• 依托单位: Mount Holyoke College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-05-15 至 1995-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9200844&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Mount; Holyoke; Undergraduate

A Research Experiences for Undergraduates site supporting eight students will be funded by this grant. The focus of the research will change over the three-year grant duration, with the first group concentrating on (1) planar domains which grow along the gradient of the Green's function, a phenomenon related to symmetry breaking in needle crystal growth, (2) on local zeta functions over p-adic fields where (symbolic) computation of examples is of primary importance and (3) on the topology of real critical points in which one seeks to analyze critical points of perturbations of polynomials with isolated critical points. Students will work as teams on projects which combine extensive computer experimentation with mainstream mathematics or statistics issues. In addition to weekly student presentations, exchanges with other REU sites will be scheduled. There will also be regular visits made to the NSF Regional Geometry Institute at Amherst College. Teams will produce final reports and manuscripts for publication where suitable. All students will be encouraged to present the results of their work at professional meetings or at their home institutions.

支持八名学生的本科生研究体验网站将由这笔赠款资助。研究的重点将在三年的资助期限内发生变化，第一组集中在(1)沿格林函数的梯度生长的平面域，这是一种与针状晶体生长中的对称性破坏有关的现象，(2)关于p-ady域上的局部Zeta函数，其中实例的(符号)计算是首要的；(3)关于实临界点的拓扑，其中人们试图分析具有孤立临界点的多项式的扰动的临界点。学生将以小组形式参与将广泛的计算机实验与主流数学或统计问题相结合的项目。除了每周一次的学生报告外，还将安排与其他REU网站的交流。还将定期访问位于阿默斯特学院的NSF区域几何研究所。各团队将在适当的情况下制作最终报告和手稿以供发表。所有学生将被鼓励在专业会议上或在他们的家庭机构中展示他们的工作成果。