权益分类	功能权益	普通用户	{{item.name}}会员
{{category.name}}	{{benefitItem.name}}

Research Training Group in Groups and Dynamics

群体与动力学研究训练组

基本信息

批准号：
1937215
负责人：
Lewis Bowen
金额：
$ 232.55万
依托单位：
University of Texas at Austin
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-09-01 至 2025-08-31
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1937215&HistoricalAwards=false
关键词：
Research Training Group Groups Dynamics

项目摘要

This award will facilitate a variety of new activities by the University of Texas at Austin Groups and Dynamics (UTGD) research group. These activities are designed to foster a rich educational environment for undergraduates, graduate students, and postdocs at UT by increasing introductory research opportunities for undergraduates and research-level training for graduate students. The overall goals of this initiative are to increase the number of math majors going to top-tier graduate schools, increase the number of Ph.D.s obtaining top-tier postdocs, improve the career placement of postdoctoral fellows after their time at UT, and increase the number of women and minorities pursuing advanced degrees and careers in mathematics research and education.The UTGD is led by seven faculty members at UT Austin. The group brings a wealth of different viewpoints and motivations together, from low-dimensional topology and geometry, to amenability, representation theory, random walks and ergodic theory. Building on a departmental Group Theory and Dynamics Seminar that has run for the past five years, the emphasis and resources of the grant will bring together expertise in the many areas represented by the research group while providing an arena for new mathematics and for the training of new mathematicians. To increase the number of graduate students entering into fields involving higher mathematics, UTGD will provide a summer Directed Reading Program (DRP) designed to prepare undergraduates for graduate school. UTGD will create a course, Experimental Mathematics, and enhance another, Discrete Math, to help prepare students for research. To improve the placement of graduating UT Ph.D.s, this award will enhance the UT graduate program by providing graduate fellowships/traineeships and travel funds and support for graduate mini-Schools and a Groups and Dynamics junior seminar. To build the departmental activity centered around Groups and Dynamics, this award will add four postdoctoral positions and provide visitors to work with postdocs, graduate students, and faculty. In the use of these resources, the management team will actively seek to increase the proportion of members of underrepresented groups in mathematics. The grant also proposes a number of ways to impact mathematics outside the department. The materials resulting from any of the projects will be made available through a dedicated website. The mini-Schools will draw from graduate students nationwide; the undergraduate conference, and the summer DRP will draw broadly from Texas schools. The Julia Robinson Math Festival will bring engaging and new mathematical experiences to K-12 students in the Austin area. The activities with the Math Teachers' Circle will create a stronger working relationship between the faculty and students of the math department and local K-12 teachers.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.

该奖项将促进德克萨斯大学奥斯汀分校团体和动力学（UTGD）研究小组的各种新活动。这些活动旨在通过增加本科生的介绍性研究机会和研究生的研究水平培训，为UT的本科生，研究生和博士后培养丰富的教育环境。该计划的总体目标是增加进入顶级研究生院的数学专业学生的数量，增加获得顶级博士后的博士数量，改善博士后研究员在UT工作后的职业安置，并增加女性和少数民族在数学研究和教育领域攻读高级学位和职业的人数。UTGD由UT奥斯汀的七名教师领导。该小组带来了丰富的不同观点和动机在一起，从低维拓扑和几何，顺从性，表示理论，随机游动和遍历理论。建立在部门组理论和动力学研讨会，已经运行了过去五年，重点和资源的补助金将汇集专业知识在许多领域所代表的研究小组，同时提供一个竞技场新的数学和新的数学家的培训。为了增加进入高等数学领域的研究生人数，UTGD将提供一个夏季定向阅读计划（DRP），旨在为本科生进入研究生院做准备。UTGD将创建一个课程，实验数学，并加强另一个，离散数学，以帮助学生做好研究准备。为了提高毕业UT博士的安置，该奖项将通过提供研究生奖学金/培训和旅行资金以及对研究生迷你学校和团体和动态初级研讨会的支持来加强UT研究生课程。为了建立围绕团体和动态的部门活动，该奖项将增加四个博士后职位，并提供访问者与博士后，研究生和教师一起工作。在使用这些资源时，管理团队将积极寻求增加数学代表性不足群体成员的比例。该补助金还提出了一些影响系外数学的方法。任何项目产生的材料都将通过一个专门的网站提供。迷你学校将从全国范围内的研究生中吸引;本科生会议和夏季DRP将广泛吸引德克萨斯州的学校。朱莉娅罗宾逊数学节将为奥斯汀地区的K-12学生带来引人入胜的新数学体验。与数学教师圈的活动将在数学系的教师和学生与当地K-12教师之间建立更牢固的工作关系。该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估来支持。