Research Training Group in Groups and Dynamics

该奖项将促进德克萨斯大学奥斯汀分校小组和动力学(UTGD)研究小组开展的各种新活动。这些活动旨在通过增加本科生的入门研究机会和研究生的研究水平培训，为德克萨斯大学的本科生、研究生和博士后创造丰富的教育环境。这一倡议的总体目标是增加进入一流研究生院的数学专业学生的数量，增加获得一流博士后的人数，改善博士后研究员在德克萨斯大学毕业后的职业安置，并增加在数学研究和教育领域寻求高级学位和职业的女性和少数民族人数。UTGD由德克萨斯大学奥斯汀分校的七名教职员工领导。该小组带来了大量不同的观点和动机，从低维拓扑和几何，到顺从性，表示理论，随机行走和遍历理论。在过去五年举办的系级小组理论和动力学研讨会的基础上，赠款的重点和资源将汇集研究小组所代表的许多领域的专门知识，同时为新数学和新数学家的培训提供舞台。为了增加进入高等数学领域的研究生的数量，UTGD将提供一个暑期定向阅读计划(DRP)，旨在为本科生进入研究生院做准备。UTGD将开设一门课程，实验数学，并加强另一门课程，离散数学，以帮助学生为研究做准备。为了改善德克萨斯大学博士毕业生的就业情况，该奖项将通过提供研究生奖学金/实习生名额和旅行资金，以及对研究生迷你学校和小组和动力学初级研讨会的支持，来加强德克萨斯大学的研究生计划。为了建立以团队和动力为中心的部门活动，该奖项将增加四个博士后职位，并提供访客与博士后、研究生和教职员工一起工作。在使用这些资源时，管理团队将积极寻求增加数学中代表性不足群体的成员比例。该基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。迷你学校将吸引全国的研究生；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师生和当地K-12教师之间建立更紧密的工作关系。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.