EMSW21-RTG: Research Training Group in Logic and Dynamics

EMSW21-RTG：逻辑和动力学研究培训组

• 批准号: 0943870
• 负责人: Su Gao
• 金额: $ 150.75万
• 依托单位: University of North Texas
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-05-15 至 2016-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0943870&HistoricalAwards=false
• 关键词: EMSW21; RTG; Research; Training; Group

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.

北德克萨斯大学逻辑和动力学研究培训小组致力于将教师研究与数学科学方面的博士后、研究生和本科生的培训结合起来。该项目的教职员工（Gao、Jackson、Mauldin、Urbanski）代表了逻辑和动力学领域研究兴趣的独特融合，特别是这两个领域之间令人兴奋的相互作用。该项目的学员将接触到广泛的研究主题，从描述性集合论到遍历理论，从可定义的等价关系到无限迭代函数系统。预计他们会被这些主题之间的潜在联系所吸引，并通过他们的研究为这些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、指导本科生研究项目、研究研讨会、年度小型会议、每两年一次的研究研讨会和教学研讨会。通过彻底的指导过程和其他社区建设互动，项目参与者将体验全方位的培训，并将在经济、智力和专业方面得到充分支持。预计这些活动将在各个层面产生高质量的研究成果。由于项目中的互动和合作，预计教师的研究生产力将得到提高。研究培训小组致力于增加攻读数学学位和职业的学生（研究生和本科生）数量，特别是增加攻读高等数学学位的代表性不足群体的成员数量和百分比。该项目的活动和目标经过精心设计，旨在应对北德克萨斯地区当前的挑战和机遇。