Research in Mathematics

数学研究

• 批准号: 1128155
• 负责人: Helmut Hofer
• 金额: $ 1293.82万
• 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: 2012
• 资助国家: 美国
• 起止时间: 2012-09-15 至 2018-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1128155&HistoricalAwards=false
• 关键词: Research; Mathematics

The School of Mathematics at the Institute for Advanced Study (IAS) annually hosts collaborative research visits of one-semester or one-year duration by approximately 70 mathematicians. This award annually supports visits for 18 postdoctoral fellows and 6 mid-career mathematicians, who join 45 or more other mathematicians supported by funds from other sources. In first-rate academic facilities located in a peaceful setting with a minimum of distractions, the School provides this diverse community of scholars with an interactive environment rich in mathematical content and conducive to collaboration. The presence of nearby Princeton University adds to the breadth of mathematics that is available to IAS visitors. Each year the IAS conducts a special program focused on a particularly exciting field of mathematics. The programs for the next three years will include "Univalent Foundations of Mathematics" (2012), "Non-Equilibrium Dynamics and Random Matrices" (2013), and "Algebraic Geometry and Hodge Theory" (2014). Approximately one third of visitors come especially to participate in such programs. The School is dedicated to furthering the education of its postdoctoral fellows and strongly encourages the participation of women and members of other groups under-represented in mathematics. The School of Mathematics is devoted to supporting fundamental research at the highest level and to fostering mathematical talent. It is led by eight permanent faculty members whose expertise spans a wide spectrum of mathematics. The School is a center for new collaborations and new lines of research. Junior mathematicians benefit from mentoring by faculty and from interactions with senior scholars. Mid-career and senior mathematicians consolidate their research projects and explore new research directions. A large fraction of this country's mathematical leaders are former IAS visitors. The School's emphasis on a unified mathematical perspective and bringing together a diverse group of mathematicians has led to numerous unanticipated mathematical developments. Historically, many of the most important developments in mathematics have originated at the IAS -- this is reflected, for example, by the numerous Fields Medalists whose work is connected with the IAS. All IAS lectures are videotaped and are available to the public.

高等研究所（IAS）的数学学院每年都会举办为期一学期或一年的合作研究访问，约有70名数学家。 该奖项每年支持18名博士后研究员和6名职业中期数学家的访问，他们加入了45名或更多由其他来源资金支持的其他数学家。 在一流的学术设施位于一个和平的环境与最低限度的分心，学校提供了一个互动的环境，丰富的数学内容，有利于合作的学者这个多元化的社区。附近的普林斯顿大学的存在增加了IAS游客可以获得的数学的广度。 每年IAS都会举办一个特别的项目，专注于一个特别令人兴奋的数学领域。未来三年的计划将包括“数学的单价基础”（2012年），“非平衡动力学和随机矩阵”（2013年）和“代数几何和霍奇理论”（2014年）。 大约三分之一的游客专门来参加这些方案。 该学院致力于促进博士后研究员的教育，并大力鼓励妇女和其他群体的成员参与数学。数学学院致力于支持最高水平的基础研究和培养数学人才。 它是由八个常任教师的专业知识跨越了广泛的数学领导。 该学院是一个新的合作和新的研究路线的中心。 初级数学家受益于教师的指导和与高级学者的互动。 职业中期和高级数学家巩固他们的研究项目，探索新的研究方向。 这个国家的数学领袖中有很大一部分是前IAS访问者。 该学院强调统一的数学观点并汇集了不同的数学家群体，导致了许多意想不到的数学发展。 从历史上看，数学中许多最重要的发展都起源于IAS -这反映在，例如，许多菲尔兹奖获得者的工作与IAS有关。 国际会计师协会的所有讲座都有录像，并向公众提供。