REU Site: Analysis, Geometry, Graph Theory, Matrix Theory and Statistics

该计划涵盖的数学领域包括分析，几何，图论，矩阵理论和统计。只有一个适度的数学背景，在大二水平将需要了解大部分的开放性问题，将提交给与会者。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。六名教师将积极参与三年计划。每年夏天，三位教师导师将协调这项工作。学生将在一个教师导师的两个或三个小组工作。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，我们将尽一切努力吸引来自代表性不足群体的学生申请。这个项目的智力优势是基于学生将尝试解决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。

Areas of mathematics covered in the program include analysis, geometry, graph theory, matrix theory, and statistics. Only a modest mathematical background at the sophomore level will be needed to understand most of the open questions that will be presented to the participants. The primary objective is to stimulate talented undergraduate students to pursue graduate work in sciences and mathematics by providing accessible and challenging research problems in basic mathematics. Six faculty members will be active in the three year program. Three faculty mentors will coordinate the effort each summer. Students will work in groups of two or three 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 applicants from students in under-represented groups.The intellectual merit of this project is based in the challenging mathematical problems 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 impact 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.