REU Site: Interdisciplinary Mathematics Research

REU 网站：跨学科数学研究

• 批准号: 1156701
• 负责人: Andrew Beveridge
• 金额: $ 24.41万
• 依托单位: Macalester College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-06-01 至 2015-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1156701&HistoricalAwards=false
• 关键词: REU; Site; Interdisciplinary; Mathematics; Research

This REU is an intensive six-week program on Research in Interdisciplinary Mathematics. The program will be held at the Institute for Mathematics and its Applications (IMA) at the University of Minnesota (UMN). Each summer, 12 students (9 NSF supported, 3 supported with non-NSF funds) will work in groups of 4. Students will apply mathematical ideas to problems arising in other disciplines. Three faculty members will be associated with each team: a Problem Poser (PP), a Faculty Advisor (FA) and a Research Mentor (RM). The PP, who will set the research question, will be a UMN researcher from a field such as biostatistics, computer science, or electrical, biomedical or chemical engineering. The FA, who will guide the research effort, will be a member of the Macalester Department of Mathematics, Statistics and Computer Science. The RM, who will consult with the group for two hours per day, will be a post-doctoral fellow at the IMA with relevant domain expertise. Potential topics include dynamics of laser systems, robotics pursuit algorithms, instability of thin liquid films, modeling orthodontics, cell adhesion dynamics, and on-line recommender systems. Students will employ techniques drawn from mathematical modeling, differential equations, graph theory, discrete geometry, probability and statistics.The program is designed to allow the students to experience, first hand, the excitement of doing research that is relevant to another field. With problems coming from another discipline, the students will need to learn how to formulate domain-specific questions in mathematical ways. Students will work closely with three different faculty members with diverse research experience. In addition to performing mathematical research, students will also be immersed in the language of the other disciplines, and they will assimilate the ability to communicate across disciplines. The program will develop domain knowledge, mathematical skills and expository argumentation. By the end of the summer, each team will produce a written report, an oral presentation, and a poster. Each group will submit their poster to the Joint Mathematics Meetings, or another appropriate national conference. Additional information about the REU program can be found on the IMA website: http://www.ima.umn.edu/

这个REU是一个为期六周的跨学科数学研究项目。该项目将在明尼苏达大学（UMN）数学及其应用研究所（IMA）举行。每年夏天，12名学生（9名由国家科学基金资助，3名由非国家科学基金资助）将以4人为一组进行研究。学生将运用数学思想解决其他学科中出现的问题。每个团队将有三名教师：一名问题提出者（PP），一名教师顾问（FA）和一名研究导师（RM）。设定研究问题的PP将是来自生物统计学、计算机科学、电气、生物医学或化学工程等领域的UMN研究人员。作为麦卡莱斯特大学数学、统计和计算机科学系的一员，FA将指导研究工作。RM将是IMA的博士后研究员，具有相关领域的专业知识，每天与小组进行两小时的咨询。潜在的主题包括激光系统动力学、机器人追踪算法、液体薄膜的不稳定性、正畸建模、细胞粘附动力学和在线推荐系统。学生将运用数学建模、微分方程、图论、离散几何、概率和统计等技术。该项目旨在让学生亲身体验与另一个领域相关的研究带来的兴奋。对于来自其他学科的问题，学生将需要学习如何用数学的方式表述特定领域的问题。学生将与三位具有不同研究经验的教师密切合作。除了进行数学研究，学生还将沉浸在其他学科的语言中，他们将吸收跨学科交流的能力。该计划将发展领域知识，数学技能和说明性论证。到夏季结束时，每个小组将提交一份书面报告、一份口头报告和一张海报。每个小组将提交他们的海报到联合数学会议，或其他适当的国家会议。关于REU项目的更多信息可以在IMA网站上找到：http://www.ima.umn.edu/