EMSW21-RTG: Research Training Group in Logic and Dynamics

北德克萨斯大学的逻辑和动力学研究培训小组寻求将教师研究与博士后助理、研究生和数学科学本科生的培训结合起来。该项目的教员（高、杰克逊、莫尔丁、乌尔班斯基）代表了逻辑和动力学领域独特的研究兴趣，特别是这两个领域之间令人兴奋的相互作用。本项目的学员将接触到广泛的研究课题，从描述集合论到遍历理论，从可定义的等价关系到无限迭代函数系统。期望他们被这些主题之间的潜在联系所吸引，并通过他们的研究为该领域做出进一步的贡献。该项目的活动包括本科生研究座谈会、监督本科生研究项目、研究研讨会、年度小型会议、两年一次的研究讲习班和教学讲习班。通过全面的指导过程和其他社区建设互动，项目参与者将经历全方位的培训，并将在经济、智力和专业方面得到充分支持。预期这些活动将在各级产生高质量的研究成果。我们也期望教师的研究效率会因为项目中的互动和合作而得到提高。研究培训小组努力增加攻读数学学位和职业的学生人数（包括研究生和本科生），特别是增加代表性不足的群体攻读高等数学学位的人数和百分比。该项目的活动和目标经过精心设计，以应对北德克萨斯地区当前的挑战和机遇。

The Research Training Group in logic and dynamics at the University of North Texas seeks to integrate faculty research with the training of postdoctoral associates, graduate students, and undergraduate students in mathematical sciences. The faculty associates (Gao, Jackson, Mauldin, Urbanski) in this project represent a unique blend of research interests in the areas of logic and dynamics, and in particular the exciting interactions between the two fields. The trainees in this project will be exposed to a wide range of research topics from descriptive set theory to ergodic theory, and from definable equivalence relations to infinite iterated function systems. It is expected that they will be attracted by the underlying connections among these topics, and they will make further contributions to the fields through their research. The activities in this project include undergraduate research colloquia, supervised undergraduate research projects, research seminars, annual mini-conferences, biannual research workshops, and teaching workshops. By a thorough mentoring process and other community-building interactions, the participants of the project will experience a full range of training and will be fully supported financially, intellectually, and professionally. It is expected that the activities will produce high-quality research results on all levels. It is also expected that faculty research productivity will be enhanced because of interactions and collaborations in the project. The Research Training Group strives to increase the number of students (both graduate and undergraduate) pursuing a mathematics degree and career, and in particular to increase the number and percentage of members of underrepresented groups pursuing advanced mathematics degrees. The activities and objectives of the project are carefully designed to address the current challenges and opportunities in the North Texas region.