REU: Matrix Analysis and Applications

这个名为“矩阵分析与应用”的REU项目将在接下来的三个暑假中，每年将来自全国各地的9名积极进取、有能力的本科生带到威廉与玛丽学院的威廉斯堡校区。学生们将在威廉和玛丽数学系的教职员工的指导下，用八周的时间亲身体验数学研究。数学系被广泛认为是矩阵和算子理论的全国研究中心。学生们将分成两到三个小组，每个小组由一到两名研究导师指导，研究项目与矩阵理论有关，并由教师根据其数学可及性和对准备充分的本科生的适宜性而选择。该计划将包括关于数学主题和矩阵理论在其他学科的应用的研讨会，以及前往附近雇用数学家的研究机构的旅行。将鼓励学生之间的非正式讨论和思想交流，并将大力强调与同龄人的数学交流。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发表学术评论的基础，这将继续是该项目的一个目标。过去，我们REU的绝大多数学生都上过数学科学研究生院，这也将继续是项目的目标。

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.