REU Site: Matrix Analysis, its Applications and Related Combinatorics

REU 网站：矩阵分析、其应用和相关组合学

• 批准号: 0751964
• 负责人: Charles Johnson
• 金额: $ 28.8万
• 依托单位: College of William and Mary
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2008
• 资助国家: 美国
• 起止时间: 2008-09-01 至 2014-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0751964&HistoricalAwards=false
• 关键词: REU; Site; Matrix; Analysis; its

Our purpose is two-fold: (1) to introduce promising mathematics students to real research in problems of current interest, through intensive, 8-week, mentored, summer programs; and (2) to make substantial research contributions to a variety of somewhat related, unsolved problems. The research that is necessary for graduate study in mathematics, and most eventual careers in the field, is quite different from traditional undergraduate course work. Experience has shown that an honest exposure to real research, within a group of like-ability students, is very efficient for future decision making by the students and as preparation and inspiration for likely graduate study.The platform for this REU program is matrix analysis and applications, broadly defined, including combinatorics. This is an excellent source of accessible, worthwhile, and open-ended problems and a most valuable area as part of the knowledge base for future work in mathematics. The PI, through his own research program and wide variety of international contacts, generates many problems, progress on which will be of interest to the community. In addition, work is likely to continue on several large problems, with many parts, on which progress has been made in prior summers. This has in the past, and likely will in the future, generate many student-authored publications, in respected, traditional journals, that will be a lasting contribution to the field.

我们的目的有两个：（1）介绍有前途的数学学生真实的研究问题的当前利益，通过密集的，8周，辅导，暑期课程;（2）作出实质性的研究贡献的各种有点相关，未解决的问题。数学研究生学习所必需的研究，以及该领域的大多数最终职业，与传统的本科课程工作完全不同。经验表明，在一群有能力的学生中，诚实地接触真实的研究，对学生未来的决策非常有效，并为可能的研究生学习做好准备和灵感。这个REU计划的平台是矩阵分析和应用，广义上说，包括组合学。这是一个很好的来源，可访问的，有价值的，开放式的问题和最有价值的领域作为知识基础的一部分，为未来的数学工作。PI通过自己的研究计划和广泛的国际联系，产生了许多问题，这些问题的进展将引起社会的兴趣。此外，在前几个夏天已经取得进展的几个大问题上的工作可能会继续下去，其中有许多部分。这在过去，并可能在未来，产生许多学生撰写的出版物，在受人尊敬的，传统的期刊，这将是一个持久的贡献，该领域。