REU Site: Georgia Institute of Technology Mathematics Research Experiences for Undergraduates

REU 网站：佐治亚理工学院本科生数学研究经验

• 批准号: 1851843
• 负责人: Michael Lacey
• 金额: $ 38.04万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-04-01 至 2024-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1851843&HistoricalAwards=false
• 关键词: REU; Site; Georgia; Institute; Technology

The primary aims of this REU program in mathematics are to: (i) provide high-quality research experiences, together with professional development activities, for diverse cohorts of undergraduates; (ii) motivate talented undergraduates to pursue, and succeed in, graduate study; (iii) recruit a diverse cohort of undergraduates; (iv) attract students from institutions that have limited research activities; and (v) continue engagement of the participants beyond the summer program when they return to their home institutions. Participants will work individually or in teams with individual faculty members who guide them through a research experience. Weekly team-building and professional development activities take place, including an extensive guide to graduate school, and culminating in a poster session for all participants. The participants leave the program prepared to present their work at conferences nationwide and with a firm grasp of the benefits of graduate school as well as a timeline for applications to graduate school.Undergraduates will participate in a diverse array of projects in mathematics, ranging from explorations in mapping class groups to topics in modern data science. All topics reflect important current trends in mathematics research. Many are strongly motivated by applications, ranging from architecture, to mixing of fluids, to modern signal analysis. For example, mapping class groups are built from the collection of all deformations of a surface. The object itself has additional structure, inherited from the surface, but expressed in an entirely different language. Those properties in turn yield insights into, for instance, how to most efficiently mix two types of very stiff fluids. Other examples come from data science, a very broad subject with an ever-increasing set of applications, including automatic detection of patterns, from hand written digits to community structures.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该REU计划在数学的主要目标是：（一）提供高质量的研究经验，连同专业发展活动，为本科生的不同群体;（二）激励有才华的本科生追求，并成功地在研究生学习;（三）招募本科生的多样化队列;（四）吸引学生从研究活动有限的机构;及（v）参与者在暑期课程结束后返回原院校时，继续参与。参与者将单独或与指导他们通过研究经验的个别教师团队合作。每周进行团队建设和专业发展活动，包括研究生院的广泛指南，并最终为所有参与者举办海报会议。学员们在毕业后将在全国范围内的会议上展示自己的研究成果，并牢牢把握研究生院的优势以及申请研究生院的时间轴。本科生将参加各种数学项目，从制图班的探索到现代数据科学的主题。所有主题都反映了数学研究的当前重要趋势。许多人强烈的应用动机，从建筑，流体的混合，现代信号分析。例如，映射类组是从曲面的所有变形的集合构建的。对象本身具有额外的结构，从表面继承，但以完全不同的语言表达。这些特性反过来又会让我们深入了解，例如，如何最有效地混合两种非常坚硬的流体。其他例子来自数据科学，这是一个非常广泛的学科，应用范围不断增加，包括自动检测模式，从手写数字到社区结构。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。