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

REU 网站：分析、几何、图论、矩阵论和统计学

• 批准号: 0851321
• 负责人: Sivaram Narayan
• 金额: $ 20万
• 依托单位: Central Michigan University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2009
• 资助国家: 美国
• 起止时间: 2009-05-01 至 2012-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0851321&HistoricalAwards=false
• 关键词: REU; Site; Analysis; Geometry; Graph

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.

该计划涵盖的数学领域包括分析、几何、图论、矩阵论和统计学。只需要大二水平的适度数学背景即可理解向参与者提出的大多数开放性问题。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，激励有才华的本科生攻读科学和数学方面的研究生工作。六名教员将积极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。学生将在一名教师导师的指导下，以两到三人为一组进行工作。学生将在每周的研讨会上展示他们的进展。每个学生将在课程结束时提交一份书面报告。我们将鼓励学生发表作品并在专业会议上进行演示。在招聘过程中将尽一切努力吸引来自代表性不足群体的学生的申请。该项目的智力价值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。该项目的更广泛影响包括培训本科生进行基础数学研究，增加女性和少数族裔对科学和数学活动的参与，以及让本科生作为年轻专业人员参与更广泛的学科领域。