RTG: Geometry, Group Actions, and Dynamics at Wisconsin

RTG：威斯康星州的几何、群体行动和动力学

• 批准号: 2230900
• 负责人: AUTUMN KENT
• 金额: $ 278.82万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-06-01 至 2028-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2230900&HistoricalAwards=false
• 关键词: RTG; Geometry; Group; Actions; Dynamics

The Research Training Group (RTG) in Geometry, Group Actions, and Dynamics at Wisconsin will train early career researchers in mathematics at the undergraduate, graduate, postdoctoral, and faculty levels in a manner designed specifically for mutual interaction and support between all levels. The training will prepare participants for further study, independent research, professional development, and careers in industry as well as the academy. The RTG will support undergraduate research conducted in collaboration with, and as an extension of, the Madison Experiment Mathematics Lab at Wisconsin, both in semester long programs as well as Summer Research Experiences. It will provide support for graduate student research and professional development, and support for postdoctoral scholars, as well as running a series of research workshops and professional development seminars. All of this support will be augmented by the enhanced mentoring afforded by the RTG and will create professional connections and mentorship bonds across all levels. The affiliated faculty have extensive experience in professional development, outreach, and mentorship that promises to foster and support success from traditionally under-supported populations. The academic expertise of the faculty affiliated with the RTG spans a wide array of topics in analysis, geometry, group actions, and dynamical systems. Research conducted under the RTG will include topics such as statistical and dynamical properties of flat surfaces, the geometry of random subgroups of hyperbolic groups, the combinatorics of curves on surfaces, random groups, analysis on graphs, low-dimensional topology, and dynamics on moduli spaces. The research will be integrated into the professional development of all participants, creating interactions and mentorship between researchers at all levels.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.

威斯康星州的几何学，小组行动和动力学的研究培训小组（RTG）将以专门针对相互互动和支持所有级别之间的相互互动的方式来培训本科，研究生，博士后和教职员工的早期职业研究人员。培训将使参与者为进一步的研究，独立研究，专业发展和行业和学院的职业做好准备。 RTG将支持威斯康星州麦迪逊实验数学实验实验实验实验实验室合作进行的本科研究，包括学期的课程以及夏季研究经验。 它将为研究生研究和专业发展提供支持，并为博士后学者提供支持，并举办一系列研究研讨会和专业发展研讨会。 RTG提供的增强指导将增强所有这些支持，并将在各个层面建立专业的联系和指导债券。该附属教师在专业发展，外展和指导方面具有丰富的经验，有望促进和支持传统上支持的人群的成功。与RTG相关的教师的学术专业知识涵盖了分析，几何，小组动作和动态系统的广泛主题。 在RTG下进行的研究将包括诸如扁平表面的统计和动力学特性，双曲线基团的随机亚组的几何形状，表面上曲线的组合，随机组，图形分析，低维拓扑结构，低维拓扑结构以及模量空间上的动力学。这项研究将纳入所有参与者的专业发展，在各个级别的研究人员之间建立互动和指导。该奖项反映了NSF的法定任务，并且使用基金会的知识分子优点和更广泛的审查标准，被认为值得通过评估来获得支持。