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

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。五名教职员工将参与这项为期三年的计划。每年夏天，三名教师将协调这项工作。学生将在一名教师导师的指导下，以两人或三人为一组。学生们将在每周的研讨会上陈述他们的进展。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，将尽一切努力吸引来自代表人数不足的学生的申请者。学生将获得津贴、住房费用、膳食津贴、前往REU网站的旅行支持，以及会议演讲的旅行支持。中央密歇根大学将提供进入教室、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的通道。作为对研究经验的补充，还计划了一些社交活动。这个项目的智力优势是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，并使本科生成为更广泛学科领域的年轻专业人员。

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.