EMSW21-RTG: Developing American Research Leadership in Algebraic Geometry and its Boundaries

EMSW21-RTG：发展美国在代数几何及其边界方面的研究领导地位

• 批准号: 0943832
• 负责人: Karen Smith
• 金额: $ 225.5万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 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: 2010-08-01 至 2017-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0943832&HistoricalAwards=false
• 关键词: EMSW21; RTG; Developing; American; Research

This RTG project continues a successful research training program in algebraic geometry and its boundary areas at the University of Michigan. Target trainees are recent PhDs and advanced graduate students, though undergraduates are also involved on a smaller scale. The project is run by five senior faculty members (William Fulton, Robert Lazarsfeld, Mircea Mustata, Yongbin Ruan and Karen Smith) in consultation with an additional 16 senior faculty at Michigan in related areas. Algebraic geometry is a central and highly active branch of mathematics today, with increasingly important connections to other branches of mathematics and science. These other areas include commutative algebra, number theory, combinatorics, representation theory, and complex analysis, as well as string theory and other aspects of theoretical physics and computer science. The explosive growth of algebraic geometry at the end of the twentieth century has made this a very exciting time to begin research, but it has also made it difficult for young researchers to get started. This project will increase the flow of broadly trained researchers in algebraic geometry and its boundary areas. Given the size and visibility of the research groups involved in this project, Michigan's Algebraic Geometry RTG program has had and will continue to have a substantial impact at the national level in building a thriving community of young researchers in and around algebraic geometry. The project develops the research potential of its trainees, as well as their capability to nurture the next generation. Activities include a rich array of seminar and workshop activities, including the opportunity for post-doctoral trainees to propose, design and organize workshops under the mentorship of a senior faculty member; opportunities for post-doctoral researchers to design and lead undergraduate research projects under the mentorship of a senior faculty member; numerous opportunities for advanced graduate students and post-docs to develop their technical and expository lecturing skills, and to receive mentoring on all aspects of a research career in mathematics; funds for trainee travel to domestic and international conferences in order to establish connections, get exposure to research trends not represented at Michigan, and gain visibility as they lecture on their work.

这个RTG项目延续了密歇根大学在代数几何及其边界领域的成功研究培训计划。目标受训者是最近的博士和高级研究生，尽管本科生也参与了较小规模的。该项目由五名资深教员（William富尔顿、Robert Lazarsfeld、Mircea Mustata、Yongbin Ruan和Karen Smith）与密歇根大学另外16名相关领域的资深教员协商管理。代数几何是当今数学的一个中心和高度活跃的分支，与数学和科学的其他分支有着越来越重要的联系。这些其他领域包括交换代数，数论，组合数学，表示论和复分析，以及弦理论和理论物理和计算机科学的其他方面。爆炸性增长的代数几何在二十世纪末，这是一个非常令人兴奋的时间，开始研究，但它也使它难以为年轻的研究人员开始。该项目将增加在代数几何及其边界领域受过广泛训练的研究人员的流动。鉴于参与该项目的研究小组的规模和知名度，密歇根州的代数几何RTG计划已经并将继续在国家一级产生重大影响，在代数几何领域和周围建立一个蓬勃发展的年轻研究人员社区。 该项目开发其受训人员的研究潜力，以及培养下一代的能力。活动包括一系列丰富的研讨会和工作坊活动，包括让博士后学员有机会在一名高级教员的指导下提出、设计和组织工作坊;让博士后研究人员有机会在一名高级教员的指导下设计和领导本科生研究项目;为高级研究生和博士后提供众多机会，以发展他们的技术和临时演讲技能，并获得 在数学研究生涯的各个方面的指导;资金为学员前往国内和国际会议，以建立联系，接触到研究趋势不代表在密歇根州，并获得知名度，因为他们对自己的工作演讲。