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

该补助金将继续在中央密歇根大学（CMU）的本科生网站的研究经验。 在接下来的三年（2003-05）中，每年夏天，在全国范围内招募的八名学生将在为期八周的计划中从事数学研究。 主要目标是通过提供基础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图的拉普拉斯谱、矩阵的舒尔稳定性、半群的零因子图和相对差集。 四名教师将积极参与为期三年的计划;三名教师将协调每年夏天的努力。 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。 教师导师在指导本科生研究项目方面具有相当丰富的经验。 2002年，CMU获得了NSF的资助，成为REU的数学网站，该暑期项目被评为非常成功的项目。学生将获得2400美元的助学金、住宿费、膳食津贴和会议演讲的差旅费。 CMU将提供教室、研讨室、校园图书馆、计算机实验室、笔记本电脑、打印机、复印服务和娱乐设施。 为了补充研究经验，计划了一些社会和充实活动。 到陶氏化学公司或福特汽车公司进行一天的旅行将使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更广阔的密歇根州的历史视角。这个项目的智力价值是基于学生将尝试解决的具有挑战性的数学问题。 学生将解决未解决的问题，其解决方案（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，增加妇女和少数民族参与科学和数学活动，并让本科生作为年轻专业人员参与更广泛的学科领域。联系人：Sivaram Narayan博士989 -774- 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