EMSW21-RTG: Training Students in Geometry and Topology at Stanford University

EMSW21-RTG：斯坦福大学几何和拓扑学培训学生

• 批准号: 0502401
• 负责人: Steven Kerckhoff
• 金额: --
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-07-01 至 2013-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0502401&HistoricalAwards=false
• 关键词: EMSW21; RTG; Training; Students; Geometry

The goal of this project is to enhance the education of students in the areas of geometry and topology at Stanford by providing them with interactive forums in which to broaden their knowledge and by providing them with the time, through financial support, to participate in those forums. Stanford has a broad and active research group in geometry and topology with researchers in geometric analysis, differential geometry and minimal surfaces, symplectic geometry and topology, low-dimensional topology and hyperbolic geometry, geometric and algebraic topology, and algebraic geometry. Aside from the breadth of fields covered, the Stanford research group in geometry and topology is connected by a network of overlapping interests and activities. The purpose of this project is to attract students into this group and to allow them to more fully benefit from the broad expertise it represents. In order to facilitate the interaction between students and faculty representing these varied interests, specific seminars are planned. These will be run by senior faculty members and will involve graduate students, postdoctoral researchers, and, in some cases, advanced undergraduates, who are interested in these fields. Examples of such seminars include the following:1) Classics seminar: Students will present, under the supervision of a faculty member, various ``classical papers" that transformed their respective areas of mathematics.2) Progress seminar: More advanced graduate students and postdoctoral researchers will discuss their work in detail, as they are working on it.3) Physics for mathematicians seminar: Geometry/topology students will study a relevant area of Physics under the joint supervision of the Mathematics and Physics faculty.The proposal is designed to bring more US citizens/permanent residents to the Stanford graduate program in mathematics. Special attention will be given to attracting more women and minorities to the program. The activities proposed here should also increase the size and improve the quality of the pool of Stanford undergraduates who go to graduate programs at US universities; the majority of these students are US citizens or permanent residents.

该项目的目的是通过为斯坦福大学的几何学和拓扑领域的教育提供教育，通过为他们提供互动论坛，以扩大知识并通过财务支持为他们提供时间来参与这些论坛。 斯坦福大学在几何学和拓扑结构中拥有广泛而活跃的研究小组，研究人员在几何分析，差异几何形状和最小表面，符号几何和拓扑结构，低维拓扑以及多余的几何学，几何学和代数拓扑以及代数拓扑以及代数几何学。 除了涵盖的领域的广度外，斯坦福大学的几何和拓扑研究小组还通过重叠的兴趣和活动网络相连。 该项目的目的是吸引学生加入该小组，并使他们从其所代表的广泛专业知识中更加完全受益。为了促进学生与代表这些各种利益的教师之间的互动，计划了具体的研讨会。 这些将由高级教师经营，并将涉及研究生，博士后研究人员，在某些情况下是对这些领域感兴趣的高级本科生。 此类研讨会的示例包括以下内容：1）经典研讨会：学生将在教职员工的监督下，各种``经典论文''改变了各自的数学领域。在数学和物理学的联合监督下，该提案旨在将更多的美国公民/永久居民带入斯坦福大学的毕业生计划，以特殊关注数学。居民。