IAS/Park City Mathematics Institute

IAS/帕克城数学研究所

• 批准号: 1441467
• 负责人: Robert MacPherson
• 金额: $ 444.63万
• 依托单位: Institute For Advanced Study
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-08-15 至 2020-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1441467&HistoricalAwards=false
• 关键词: IAS; Park; City; Mathematics; Institute

The IAS/Park City Mathematics Institute (PCMI) is a three-week summer school in the mathematical sciences, held each July in Park City, Utah. Its primary goal is to promote the development of mathematics students, teachers and researchers through concurrent overlapping programs of undergraduate and graduate study, teacher development, and mathematical research activities. This award supports five components of PCMI. Three of these components are the Research Program, the Graduate Summer School and the Undergraduate Summer School, that are organized around a single area of contemporary mathematical research. The Research Program and Graduate Summer School are led by world-renowned mathematicians. Lecturers in the graduate and undergraduate programs are world leaders in their specialties. All are chosen for their expository abilities. A fourth component, the Undergraduate Faculty Program, considers that year's mathematical research topic in light of undergraduate education. It is lead by a specialist who is an excellent teacher at the undergraduate level. PCMI contributes to the development of under-represented minorities in the STEM disciplines through the fifth funded component, a one-week Workshop for Mentors of Undergraduate Research by Minority Students. Workshop participants develop research projects suitable for use in undergraduate research programs. Workshop participants go on to lead undergraduate research programs for under-represented minorities after attending PCMI. One key goal is to build a pipeline of minority students who are prepared to participate in PCMI's undergraduate and graduate summer schools. The dissemination of PCMI activities to the wider mathematical community of graduate students and researchers is accomplished through its publication program. Polished versions of the lectures from each year's Graduate Summer School constitute a volume published by the American Mathematical Society (AMS). Quite often, one of the undergraduate lecture series, or the Undergraduate Faculty program leads to an innovative undergraduate text, also published by the AMS. PCMI is also now embarking on a series of volumes incorporating material developed in its program for secondary school teachers.The research themes for PCMI vary from year to year. Each theme is chosen to reflect current trends of high importance in the mathematical community and is based on the identification of organizers who take seriously the synergistic nature of PCMI. The research themes for the first three programs that will be funded by this award and their organizers are as follows:2015: Geometry of Moduli Spaces and Representation Theory; Roman Bezrukavnikov, Alexander Braverman, and Zhiwei Yun 2016: The Mathematics of Data; Anna Gilbert and Michael Mahoney2017: Random Matrices; Alexei Borodin, Alice Guionnet, and Ivan Corwin.

IAS/帕克城数学研究所（PCMI）是一个为期三周的数学科学暑期学校，每年7月在犹他州的帕克城举行。它的主要目标是通过本科和研究生学习，教师发展和数学研究活动的并行重叠计划，促进数学学生，教师和研究人员的发展。 该奖项支持PCMI的五个组成部分。 其中三个组成部分是研究计划，研究生暑期学校和本科生暑期学校，围绕当代数学研究的一个单一领域组织。研究计划和研究生暑期学校由世界知名的数学家领导。 研究生和本科生课程的讲师都是各自专业的世界领导者。所有人都是因为他们的临时能力而被选中的。 第四个组成部分，本科教师计划，认为这一年的数学研究课题在本科教育。它是由一个专家谁是一个优秀的教师在本科水平。PCMI通过第五个资助项目，即为期一周的少数民族学生本科研究导师研讨会，为STEM学科中代表性不足的少数民族的发展做出贡献。研讨会参与者开发适合本科研究计划使用的研究项目。研讨会的参与者继续领导本科研究计划，为代表性不足的少数民族参加PCMI后。一个关键目标是建立一个少数民族学生谁准备参加PCMI的本科生和研究生暑期学校的管道。PCMI活动传播到更广泛的数学界的研究生和研究人员是通过其出版计划完成的。从每年的研究生暑期学校的讲座抛光版本构成了由美国数学学会（AMS）出版的一卷。很多时候，一个本科系列讲座，或本科教师计划导致一个创新的本科文本，也由AMS出版。PCMI现在也开始了一系列的卷，其中包括在其中学教师计划中开发的材料。PCMI的研究主题每年都有所不同。每个主题的选择，以反映当前的趋势，高度重视数学界，是基于谁认真对待PCMI的协同性质的组织者的识别。 该奖项及其组织者资助的前三个项目的研究主题如下：2015年：模空间几何和表示理论; Roman Bezrukavnikov，亚历山大布雷弗曼和Zhiwei Yun 2016年：数据数学;安娜吉尔伯特和迈克尔马奥尼2017年：随机矩阵;阿列克谢·鲍罗丁，爱丽丝·吉奥内特和伊万·科温。