REU Site: Research Experiences for Undergraduates in Algebra, Combinatorics, Graph Theory and Matrix Theory

这笔赠款将继续在中央密歇根大学(CMU)为本科生提供研究体验网站。在接下来的三年(2003-05)，每年夏天，在全国范围内招募的八名学生将在为期八周的项目中从事数学研究。主要目标是通过提供可接触和具有挑战性的基础数学研究问题，鼓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图的拉普拉斯谱、矩阵的Schur稳定性、半群的零因子图和相对差集。四名教职员工将积极参与这个为期三年的项目；三名教职员工将在每年夏天协调工作。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，将尽一切努力吸引代表人数不足的群体的学生申请。教师导师在指导本科生研究项目方面有丰富的经验。2002年，CMU获得了NSF的资助，作为一个REU数学站点，该暑期项目被评估为一个非常成功的项目。学生将获得2400美元的津贴、住房费用、膳食津贴和会议演讲的旅费。债务工具中央结算系统将提供进入课室、会议室、校园图书馆、电脑室、手提电脑、打印机、复印服务和康乐设施的通道。为补充研究经验，已规划了一些社交和充实活动。陶氏化学或福特汽车公司的一日游将让你在工作场所接触到一些数学知识。麦基诺岛一日游将提供对密歇根州更广阔的历史视角。这个项目的智力价值基于学生将试图解决的具有挑战性的数学问题。学生们将解决未解决的问题，这些问题的解决方案(或部分解决方案)将提高人类对数学结构的理解。拟议项目的更广泛影响包括培训本科生进行基础数学研究，增加妇女和少数群体参与科学和数学活动，让本科生成为更广泛学科领域的年轻专业人员。联系人：Sivaram Narayan989-774-3566sivaram.narayan@cmich.edu

This grant will continue a Research Experiences for Undergraduates site at Central Michigan University (CMU). Each summer for the next three years (2003-05), eight students recruited nationwide will engage 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 basic mathematics. Typical problem areas include the Laplacian spectrum of graphs, Schur stability of matrices, the zero-divisor graph of a semigroup, and relative difference sets. Four faculty members will be active in the three-year program; three faculty members will coordinate the effort each summer. 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. The faculty mentors have considerable experience in guiding undergraduate research projects. In 2002 CMU received NSF funding as an REU-site in mathematics and that summer program was evaluated as a highly successful project.The students will be provided $2400 in stipend, housing costs, meal allowance, and travel support for conference presentations. CMU will provide access to classrooms, seminar rooms, the campus library, computer labs, laptops, printer, copying services and recreational facilities. To complement the research experience a number of social and enrichment activities have been planned. A day trip to Dow Chemical or Ford Motor Company will provide some exposure to mathematics in the workplace. A day trip to Mackinaw Island will provide a broader historical perspective on the State of Michigan.The intellectual merit of this project is based on the challenging mathematical problems the students will attempt to solve. The students will tackle unsolved problems whose solutions (or partial solutions) will improve human understanding of the very structure of mathematics. The broader impacts of the proposed project include training undergraduates in research in basic mathematics, increasing the participation of women and minorities in science and math activities, and involving undergraduates as young professionals in the broader disciplinary field. Point of Contact:Dr. Sivaram Narayan989-774-3566sivaram.narayan@cmich.edu