EMSW21-RTG: Graduate Education in Geometry and Topology at the University of Chicago

EMSW21-RTG：芝加哥大学几何和拓扑学研究生教育

• 批准号: 0354270
• 负责人: Kevin Corlette
• 金额: $ 60万
• 依托单位: University of Chicago
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-07-15 至 2008-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0354270&HistoricalAwards=false
• 关键词: EMSW21; RTG; Graduate; Education; Geometry

AbstractAward: DMS-0354270Principal Investigator: Kevin D. CorletteThis project will support activities of the geometry/topologygroup at the University of Chicago which have an impact on thetraining of graduate students. This group currently consists ofsix senior faculty, thirteen junior faculty and about thirtygraduate students. The research interests of members of thegroup span a wide array of topics in geometry and topology,including complex differential geometry, rigidity and locallysymmetric spaces, connections of ergodic theory with discretegroups and number theory, geometric group theory, 3-manifoldtopology, Teichmuller theory, geometric topology ofhigh-dimensional manifolds, the moduli space of Riemannianmetrics, complex dynamics, symplectic topology and homotopytheory. The activities of the group include active researchseminars in geometry/topology and algebraic topology, severalstudent seminars and a visitors program, all of which aredirectly relevant to the education of graduate students. Theseactivities, in combination with the general structure of thegraduate program in the department, provide ideal conditions forstudents to gain exposure to a broad range of current researchwhile pursuing their own specific research projects.Geometry and topology are fundamental parts of mathematics whichare currently experiencing rapid development, with many new ideasand lines of investigation being pursued. Many of thesedevelopments are internal to the subject, while others arise, atleast in part, from contact with fields such as physics andcomputer science. It is particularly exciting to be a student ina field undergoing this kind of change, but it is at the sametime a challenge to orient oneself when the landscape is rapidlychanging. This project will enhance the ability of doctoralstudents at the University of Chicago to learn about and doresearch in these areas, thus helping to train the nextgeneration of researchers in geometry and topology. In additionto providing direct support for graduate students as they doresearch, the project will also provide support for graduatestudents to travel to conferences and the bring visitors to theUniversity for seminar talks and collaboration. All of this isintended to expose graduate students to the frontlines ofresearch as effectively as possible.

摘要奖：DMS-0354270 首席研究员：Kevin D. Corlette 该项目将支持芝加哥大学几何/拓扑小组的活动，这些活动对研究生的培训有影响。 该团队目前由六名高级教师、十三名初级教师和约三十名研究生组成。 小组成员的研究兴趣涵盖几何和拓扑学的广泛主题，包括复微分几何、刚性和局部对称空间、遍历理论与离散群和数论的联系、几何群论、3流形拓扑、Teichmuller理论、高维流形的几何拓扑、黎曼度量的模空间、复数 动力学、辛拓扑和同伦论。 该小组的活动包括积极的几何/拓扑和代数拓扑研究研讨会、多个学生研讨会和访客计划，所有这些都与研究生的教育直接相关。 这些活动与该系研究生课程的总体结构相结合，为学生在追求自己的具体研究项目的同时接触广泛的当前研究提供了理想的条件。几何和拓扑是数学的基础部分，目前正在快速发展，许多新的想法和研究方向正在被追求。 其中许多发展是该学科内部的，而其他发展至少部分是由于与物理学和计算机科学等领域的接触而产生的。 作为一名正在经历这种变化的领域的学生是特别令人兴奋的，但同时在快速变化的环境中确定自己的方向也是一个挑战。 该项目将增强芝加哥大学博士生在这些领域的学习和研究能力，从而有助于培养下一代几何和拓扑研究人员。 除了为研究生的研究提供直接支持外，该项目还将为研究生前往参加会议以及邀请访客到大学进行研讨会演讲和合作提供支持。 所有这些都是为了让研究生尽可能有效地接触研究的前沿。