REU: Matrix Analysis and Applications

这个REU项目，“矩阵分析和应用”，将在接下来的三个夏天，每年把来自全国各地的九名积极性高、能力强的本科生带到威廉玛丽学院的威廉斯堡校区。学生们将在威廉玛丽数学系的教师的指导下，花八周的时间亲身体验数学研究。威廉玛丽数学系被广泛认为是矩阵和算子理论的国家研究中心。学生将以2 - 3人为一组，每组由1 - 2名研究导师指导，研究与矩阵理论相关的项目，这些项目由教师根据其数学可及性和对准备充分的本科生的适用性进行选择。该计划将包括关于数学主题和矩阵理论在其他学科中的应用的研讨会，以及前往附近雇用数学家的研究机构的旅行。鼓励学生之间的非正式讨论和思想交流，并强调与同学之间的数学交流。到暑期项目结束时，每个学生小组将做几次口头报告，并将提交一份关于其工作的最终书面报告。在过去，这些报告中大约有一半是学生和导师评审学术出版物的基础，这将继续是该项目的目标。在过去，我们REU的绝大多数学生都去了数学科学研究生院，这也将继续是一个项目目标。

This REU project, "Matrix Analysis and Applications," will bring nine highly motivated and capable undergraduate students from across the nation to the Williamsburg campus of the College of William and Mary during each of the next three summers. The students will spend eight weeks experiencing mathematical research first hand, under the mentorship of faculty members of William and Mary's Mathematics department, widely recognized as a national research center in matrix and operator theory. Students will work in teams of two to three, each team supervised by one or two research mentors, on projects that are related to matrix theory and that are chosen by the faculty for their mathematical accessibility and appropriateness for well-prepared undergraduates. The program will include seminars on mathematical topics and applications of matrix theory to other disciplines, and trips to nearby research institutions that employ mathematicians. Informal discussions and interchange of ideas among the students will be encouraged, and communication of mathematics to peers will be strongly emphasized. By the end of the summer project, each student team will have made several oral presentations and will present a final written report on its work. In the past, about half of these reports have been the basis for refereed scholarly publication by students and advisors, and that will continue to be a goal of the project. In the past, the vast majority of our REU students have gone to mathematical sciences graduate school, and that, too, will continue to be a project goal.