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

这笔赠款将资助数学，应用数学和统计研究经验的本科生（MAPS-REU），由数学系在马里兰州，学院公园的大学组织。在2014年，2015年和2016年的夏天，每年八周，将提供四个不同的项目。 对于每个项目，将提出具体的问题和研究任务，并进行深入研究;首席研究员将引导学生对这些问题和任务进行实验探索。PI将引导学生使用他们的实验结果来制定图表，并试图严格证明它们。在代数/数论、应用调和分析、混沌动力学、几何学、数学生物学、概率和随机过程、量子动力学和统计学方面都将有项目。每年，对于四个项目中的每一个，一名教师将在上述领域之一的一个或多个问题上与两到三名学生进行合作。领导教师（组长）将介绍他/她的项目的必要背景，将提出具体的问题，将隔离问题，和/或将制定学生的数值实验。小组组长将安排两到三个每周会议与他/她的小组的每个学生。为了帮助指导和保持与REU学生的直接联系，候选人资格后的研究生将被分配到每个小组。研究生的作用将是通过日常会议和进一步指导与REU学生保持直接联系。REU学生将被要求定期口头介绍他们的工作或共同感兴趣的背景材料。该计划还将包括一个书面部分：学生将创建讲义，以补充他们的演示文稿，以及在项目结束时总结他们的结果。此外，学生将被介绍使用各种平台搜索数学文献。该计划将关闭由每个REU学生的最后陈述。MAPS-REU学生将向主要教师以及PI和co-PI提交最终报告，这些报告将在计划网站上提供。学生们也将有机会在各种数学会议上展示他们的发现。此外，MAPS-REU的结果将在数学期刊上发表。

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.