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

该程序涵盖的数学领域包括分析、几何、图论、矩阵理论和统计学。只需要在大二水平具备一般的数学背景，就能理解将呈现给参与者的大多数开放问题。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。六名教职员工将积极参与这项为期三年的计划。每年夏天，三名教师导师将协调这项工作。学生将在一名教师导师的指导下，以两人或三人为一组进行学习。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，我们将尽一切努力吸引来自代表性不足的学生的申请者。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，让本科生成为更广泛学科领域的年轻专业人员。

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.