REU Site in Algebra, Combinatorics, Matrix Theory, and Number Theory

主要目标是通过提供基础数学中易于理解和具有挑战性的研究问题，激发有才华的本科生从事科学和数学的研究生工作。五名教员将参与这个为期三年的项目。每年夏天，三名教师导师将协调这项工作。学生将以两到三人为一组，由一名教师指导。学生们将在每周的研讨会上展示他们的进步。每个学生将在课程结束时提交一份书面报告。学生们将被鼓励发表他们的作品，并在专业会议上做报告。在招聘过程中，我们将尽一切努力从代表性不足的群体中吸引申请者。学生将获得津贴、住宿费、膳食津贴、前往REU的旅费和会议演讲的旅费支持。中密歇根大学将提供教室、校园图书馆、计算机实验室、笔记本电脑、打印和复印服务以及娱乐设施。为了补充研究经验，已经计划了一些社会丰富活动。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对科学和数学活动的参与，并使本科生作为年轻专业人员参与更广泛的学科领域。

The primary objective is to stimulate talented undergraduate students to pursue graduate workin sciences and mathematics by providing accessible and challenging research problems in basicmathematics. Five faculty members will be involved in the three year program. Three facultymentors will coordinate the effort each summer. Students will work in groups of two or three withone 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 encouragedto publish their work and make presentations at professional meetings. Every effort will be madeduring recruitment process to attract applicants from students in under-represented groups.The students will be provided stipend, housing costs, meal allowance, and support for travel tothe REU Site, and travel support for conference presentations. Central Michigan University willprovide access to classrooms, the campus library, computer labs, notebook computers, printing andcopying services, and recreational facilities. To complement the research experience a number ofsocial enrichment activities have been planned.The intellectual merit of this project is based in the challenging mathematical problems studentswill attempt to solve. The students will tackle unsolved problems whose solutions (or partialsolutions) will improve human understanding of the very structure of mathematics. The broaderimpact 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 involvingundergraduates as young professionals in the broader disciplinary field.