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

这笔赠款在中密歇根大学建立了一个本科生研究经验网站。在2002年夏季期间，在全国范围内招募的8名学生将在为期8周的计划期间积极从事数学研究。主要目标是通过提供可接触和具有挑战性的数学研究问题来激励有才华的本科生从事科学和数学方面的研究生工作。典型的问题领域包括射影平面上的符号博弈、图的拉普拉斯谱、矩阵的Schur稳定性和可分差集。三名教职员工将协调这项工作。学生们将在一名教师导师的指导下，以两人为一组。学生们将在每周的研讨会上介绍他们的进展情况。每个学生都要在课程结束时提交一份书面报告。将鼓励学生发表他们的作品，并在专业会议上发表演讲。在招生过程中，将尽一切努力吸引人数不足群体的学生申请。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能够开始考虑与科学研究有关的伦理问题，特别是在数学方面。陶氏化学或福特汽车的一日游将让你在工作场所接触到一些数学知识。周末的麦基纳克岛之旅将提供对密歇根州更广阔的历史视角。联系人：Sivaram Narayan989-774-5595 sivaram.narayan@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