RTG: Building Communities in the Mathematical Sciences at Rice University

这个研究培训小组项目“RTG：在莱斯大学建立数学科学社区”的目的是继续，加强，扩大和多样化其创始人埃德加·奥德尔·洛维特所阐述的核心思想和价值观；也就是说，它是一所“在其教育计划中，既注重教学，也注重研究”的最高等级学校。在数学系的背景下，更确切地说，在这个研究训练小组项目中，首席研究员（他们在几何及其与分析和偏微分方程、几何分析、几何拓扑和代数数论的联系方面拥有广泛的专业知识）与其他教职员工、博士后、研究生和本科生一起，打算专注于建立社区，这将影响学术管道的各个阶段。进入美国数学劳动力（包括学术和工业）的人数和准备情况，特别是在数学科学中增加女性和未被充分代表的少数民族的代表性。此外，建立的结构将包括一个由女性数学家组成的垂直社区，一个由来自低收入家庭和代表性不足的少数群体的数学家组成的垂直社区，一个由将在工业领域从事研究事业的年轻学者组成的社区，以及一个由实力雄厚的初中和高中数学专业学生组成的水平社区。RTG高级教师将利用他们的研究专长和以前的经验指导初级数学家以几何为中心的研究。反映了团队的紧密合作关系，贡献将不仅来自内部，而且来自分析和PDE，几何分析，几何拓扑，代数几何和代数数论等学科。为此，博士后和学生的垂直整合将允许合作研究项目，这将通过为新生开发数学科学的说明性写作研讨会作为数学思维的另一个入口来辅助，以及组织RTG项目会议来分享想法，其中的亮点将被存储在公共书面记录中。小木屋会议和本科生会议将为与会者提供传播他们的研究和发展合作网络的机会。将有机会在当地行业进行暑期实习。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

The aim of this Research Training Group project "RTG: Building Communities in the Mathematical Sciences at Rice University" is to continue, enhance, broaden and diversify the core ideas and values that were articulated by its founder Edgar Odell Lovett; namely that it be a, "school of the highest grade looking, in its educational programme, as much to investigation as to instruction." In the context of the Mathematics Department, and more precisely, this Research Training Group project, the Principal Investigators (who have a broad expertise in Geometry and its connections with Analysis and Partial Differential Equations, Geometric Analysis, Geometric Topology, and Algebraic Number Theory) together with other faculty members, postdocs, graduate and undergraduate students intend to focus on building communities which will impact, at all stages of the academic pipeline, the number and readiness of people entering the U.S. mathematical workforce (both academic and industrial), and bolstering in particular the representation of women and underrepresented minorities in the mathematical sciences. Moreover, structures put in place will see a vertical community of women mathematicians, a vertical community of mathematicians from low-income households and underrepresented minority groups, a community of young scholars who will pursue research careers in industry, and a horizontal community of strong junior and senior math majors.The RTG Senior Faculty will use their research expertise and previous experience to mentor research of junior mathematicians centered on Geometry. Reflecting the strongly collaborative relationship of the team, contributions will come from perspectives not only within but also across the disciplines of Analysis and PDE, Geometric Analysis, Geometric Topology, Algebraic Geometry and Algebraic Number Theory. To that end, vertical integration of postdocs and students will allow collaborative research projects, and this will be aided by developing an expository writing seminar in the mathematical sciences for freshmen as an alternative entry point into mathematical thinking, as well as organize conferences of RTG programs to share ideas, the highlights of which will be stored in a public written record. The log-cabin conferences and undergraduate conferences will give participants the opportunity to disseminate their research and grow collaborative networks. There will be opportunities for summer internships in local industries.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.