Mathematical Sciences: Mount Holyoke Undergraduate Mathematics Summer Research Institute

大学生现场支持的研究体会 八名学生将获得这笔赠款的资助。 的重点 研究将在三年的资助期内发生变化， 第一组集中于（1）平面域，其沿着生长 绿色函数的梯度，一种与 针状晶体生长中的对称性破缺，（2）局部zeta p-adic域上的函数，其中（符号）计算 （3）关于真实的拓扑 关键点，其中一个试图分析的关键点， 具有孤立临界点的多项式的扰动。 学生将以团队形式完成项目，项目将联合收割机 广泛的计算机实验与主流数学或 统计问题。 除了每周的学生报告， 将安排与其他REU网站的交流。 会 也可以定期访问NSF区域几何 Amherst College的学生。 各队将提交最终报告 以及在适当情况下出版的手稿。 所有学生 将被鼓励在会议上介绍他们的工作成果， 专业会议或在他们的家庭机构。

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.