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.

威斯康星州几何、群体行动和动力学研究培训小组 (RTG) 将以专门为各个级别之间的相互互动和支持而设计的方式，对本科生、研究生、博士后和教师级别的早期职业数学研究人员进行培训。培训将为参与者进一步学习、独立研究、专业发展以及在工业界和学术界的职业生涯做好准备。 RTG 将支持与威斯康星州麦迪逊实验数学实验室合作并作为其延伸的本科生研究，包括学期项目和暑期研究经历。 它将为研究生研究和专业发展提供支持，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 提供的强化指导将增强所有这些支持，并将在各个级别建立专业联系和指导纽带。附属教师在专业发展、外展和指导方面拥有丰富的经验，有望促进和支持传统上支持不足的人群取得成功。 RTG 教员的学术专业知识涵盖分析、几何、群体行为和动力系统等广泛的主题。 RTG 下进行的研究将包括平面的统计和动力学特性、双曲群随机子群的几何、曲面上曲线的组合、随机群、图分析、低维拓扑和模动力学等主题空间。该研究将融入所有参与者的专业发展中，在各级研究人员之间建立互动和指导。该奖项反映了 NSF 的法定使命，并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，被认为值得支持。