Research Experiences for Undergraduates in Combinatorics, Geometry, and Matrix Theory

该补助金在中密歇根大学建立了本科生研究经验网站。 2002年夏季，在全国范围内招募的8名学生将在为期8周的课程中积极从事数学研究。 其主要目标是通过提供数学中可访问和具有挑战性的研究问题，激励有才华的本科生从事科学和数学研究生工作。 典型的问题领域包括投影平面上的“符号游戏”、图的拉普拉斯谱、矩阵的舒尔稳定性和可分差集。 三名教师将协调这项工作。 学生将在两人一组的工作与一个教师导师。 学生将在每周的研讨会上介绍他们的进展情况。 每个学生将在课程结束时提交一份书面报告。 学生将被鼓励发表他们的工作，并在专业会议上做演讲。 在招聘过程中，将尽一切努力吸引代表性不足的学生申请。 为补充研究经验，已计划开展一些充实活动。 由哲学和宗教系成员领导的伦理讲习班将使学生参与者开始考虑与科学研究，特别是数学研究有关的伦理问题。 去陶氏化学或福特汽车公司一日游，可以让你在工作场所接触到一些数学知识。 周末去麦基诺岛旅行将为密歇根州提供更广阔的历史视角。 联系人：Sivaram Narayan博士989 -774- cmich.edu

This grant establishes at Central Michigan University a Research Experiences for Undergraduates site. During Summer 2002, eight students recruited nationwide will be actively engaged in mathematical research during the eight-week program. The primary objective is to stimulate talented undergraduate students to pursue graduate work in science and mathematics by providing accessible and challenging research problems in mathematics. Typical problem areas include a 'sign game' on projective planes, Laplacian spectrum of graphs, Schur stability of matrices, and divisible difference sets. Three faculty members will coordinate the effort. Students will work in groups of two with one faculty mentor. Students will make presentations of their progress during weekly seminars. Each student will submit a written report at the end of the program. Students will be encouraged to publish their work and make presentations at professional meetings. Every effort will be made during recruitment process to attract applications from students in under-represented groups. To complement the research experience, a number of enrichment activities have been planned. An ethics workshop, led by members of the Philosophy and Religion Department, will enable student participants to begin considering ethical issues related to research in the sciences, particularly in mathematics. A day trip to Dow Chemical or Ford Motor will provide some exposure to mathematics in the workplace. A weekend trip to Mackinac Island will provide a broader historical perspective on the state of Michigan. Point of Contact:Dr. Sivaram Narayan989-774-5595sivaram.narayan@cmich.edu