RTG: Enhancing American Research Leadership in Geometry

RTG：增强美国在几何领域的研究领导地位

• 批准号: 1547145
• 负责人: Robert Lazarsfeld
• 金额: $ 237.03万
• 依托单位: SUNY at Stony Brook
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-03-01 至 2024-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1547145&HistoricalAwards=false
• 关键词: RTG; Enhancing; American; Research; Leadership

Mathematical innovations often arise from the interplay between ideas from physics and from traditional mathematics. However, it has become increasingly difficult for researchers in one field to understand the ideas and advances in the other. The purpose of this program is to train young mathematicians collaboratively at a traditional mathematics department and at a research center devoted to the interactions between mathematics and theoretical physics. The goal is produce mathematicians of the next generation who will have both the tools to succeed in their chosen fields and the facility necessary to bridge the gap between areas.This project will establish a Research Training Group in geometry as a collaborative effort between the Stony Brook Mathematics Department and the Simons Center for Geometry and Physics. It unites a long commitment to training young mathematicians at a traditional mathematics department with the exceptional scientific opportunities presented by a major international research center located next door. The overall aim of the program is to train a group of young mathematicians who will combine expertise in a specific geometric field with a serious appreciation of the other subfields of geometry and of the connections between geometry and mathematical physics. The RTG will have three main components. It will fund nine Postdoctoral Fellows who will be full participating members of both the mathematics department and the Simons Center. Besides engaging in a full range of traditional mathematical activities, the Fellows will participate in joint seminars bringing together postdocs in mathematics and theoretical physics. The program will also provide partial support to a cadre of graduate trainees in mathematics, who will have an affiliation in the Simons Center and will participate fully in activities in the Center. Finally, the program will put in place a number of new activities designed to enrich the experiences of Stony Brook mathematics undergraduates, including those interested in teaching careers, and to introduce them to the scientific focus of the Simons Center.

数学创新通常源于物理学和传统数学思想之间的相互作用。然而，一个领域的研究人员了解另一领域的想法和进展变得越来越困难。该项目的目的是在传统数学系和致力于数学与理论物理之间相互作用的研究中心合作培训年轻数学家。目标是培养下一代数学家，他们将拥有在自己选择的领域取得成功的工具和弥合领域之间差距所需的设施。该项目将建立一个几何研究培训小组，作为石溪数学系和西蒙斯几何和物理中心之间的合作努力。它结合了传统数学系培养年轻数学家的长期承诺与隔壁大型国际研究中心提供的特殊科学机会。该项目的总体目标是培养一批年轻的数学家，他们将特定几何领域的专业知识与对几何其他子领域以及几何与数学物理之间联系的认真理解相结合。 RTG 将具有三个主要组件。它将资助九名博士后研究员，他们将成为数学系和西蒙斯中心的正式参与成员。除了参与全方位的传统数学活动外，研究员还将参加数学和理论物理学博士后联合研讨会。该计划还将向一批数学研究生学员提供部分支持，他们将隶属于西蒙斯中心，并将全面参与该中心的活动。最后，该计划将开展一系列新活动，旨在丰富石溪数学本科生（包括那些对教学职业感兴趣的学生）的经验，并向他们介绍西蒙斯中心的科学重点。