REU Site: Mathematics, Applied Mathematics, and Statistics Research Experience for Undergraduates (MAPS-REU)

这笔赠款将资助由马里兰大学帕克分校数学系组织的本科生数学、应用数学和统计学研究体验(MAP-REU)。在2014年、2015年和2016年的每个夏天的八周时间里，将提供四个不同的项目。对于每个项目，将提出并隔离具体的问题和研究任务进行深入研究；首席调查员将引导学生对这些问题和任务进行实验性探索。PI将引导学生使用他们的实验结果来表达猜想，并试图严格地证明它们。将有代数/数论、应用调和分析、混沌动力学、几何、数学生物学、概率和随机过程、量子动力学和统计学的专题。每年，对于四个专题中的每一个，一名教员将邀请两到三名学生在上述一个或多个领域的一个或多个问题上。首席教师(组长)将介绍他/她的项目的必要背景，提出具体问题，隔离问题，和/或为学生制定数值实验。组长将安排每周两到三次会议，与他/她所在小组的每个学生见面。为了帮助指导和保持与REU学生的直接联系，每个小组将分配一名研究生。研究生的角色将是通过日常会议和进一步的指导与REU学生保持直接联系。REU的学生将被要求就他们的工作或共同感兴趣的背景材料进行定期口头陈述。本课程还包括一个书面部分：学生将制作讲义来补充他们的陈述，以及在项目结束时对他们的结果进行总结。此外，还将向学生介绍如何使用各种平台搜索数学文献。该项目将以每一位REU学生的期末报告结束。MAPS-REU的学生将把他们的期末报告提交给带头教员以及PI和共同PI，这些报告将在项目网站上提供。学生们还将有机会在各种数学会议上展示他们的发现。此外，MAPS-REU的结果将发表在数学期刊上。

This grant will fund the Mathematics, Applied Mathematics, and Statistics Research Experience for Undergraduates (MAPS-REU), organized by the Department of Mathematics at the University of Maryland, College Park. For eight weeks during each of the summers of 2014, 2015, and 2016, four different projects will be offered. For each project, specific questions and research tasks will be posed and isolated for in-depth study; and the principal investigators will guide the students to experimentally explore these questions and tasks. The PIs will lead the students to use their experimental findings to formulate conjectures and attempt to rigorously prove them. There will be projects in algebra/number theory, applied harmonic analysis, chaotic dynamics, geometry, mathematical biology, probability and random processes, quantum dynamics, and statistics.Each year and for each of the four projects, a faculty member will engage two to three students in one or more problems in one of the areas mentioned above. The lead faculty (group leader) will introduce necessary background on his/her projects, will pose specific questions, will isolate problems, and/or will formulate numerical experiments for the students. The group leader will schedule two to three weekly meetings with each student of his/her group. To help mentor and maintain direct contact with the REU students, a post-candidacy graduate student will be assigned to each group. The role of the graduate student will be to maintain direct contact with the REU students through daily meetings and further mentoring. REU students will be asked to give regular oral presentations on their work or on background material of common interest. This program will also feature a written component: students will create handouts to supplement their presentations, as well as a summary of their results at the end of the project. In addition, the students will be introduced to searching mathematics literature using various platforms. The program will close with a final presentation by each REU student. The MAPS-REU students will deliver their final report to both the lead faculty as well as to the PI and the co-PI, and these reports will be made available on the program website. The students will also have opportunities to present their findings at various mathematical meetings. In addition, results from the MAPS-REU will be published in mathematics journals.