RTG: Algebra, Geometry, and Topology at the University of Utah

这项名为“RTG：犹他大学代数、几何和拓扑学”的研究培训团体奖将通过吸引和支持本科生、研究生和博士后学者从事研究来培养新一代研究人员。这笔拨款特别旨在通过面向职业生涯早期的本科生和研究生的项目，鼓励处于教育过渡时期的学生，并以招募和培训多样化的数学研究人员为共同目标。新的暑期Pre-REU(面向本科生的研究体验)将在入门课程之外招收有才华的学生，特别是那些原本可能对数学专业的可能性不感兴趣的学生，并在他们本科生涯的早期向他们介绍现代数学的深度。研究培训研讨会将组织职业生涯早期研究生的重点小组，偶尔也会组织高级本科生，研究一个主题，然后过渡到合作研究项目。该奖项还将支持几个会议，其中包括与犹他大学女性数学协会(AWM)分会合作举办的三个会议，作为该奖项努力发现和鼓励传统上缺乏支持的数学人才的另一个方面。犹他大学在代数、几何和拓扑方面拥有一群活跃的研究人员，包括代数几何、交换代数、几何群论、数论、表示论和拓扑学。这一系列的研究兴趣将提供给所有级别的赠款计划，因为REU之前的、研究培训研讨会和会议都是围绕教师专业领域内的轮换主题组织的。最后，RTG补助金将垂直整合其培训计划，研究生协助REU前，博士后参与研究培训研讨会，以及从本科生到博士后的全方位年轻研究人员参加会议。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This Research Training Group award, "RTG: Algebra, Geometry, and Topology at the University of Utah" will train a new generation of researchers by engaging and supporting undergraduates, graduate students, and postdoctoral scholars in research. The grant particularly aims to encourage students at transitional moments of their educations, through programs targeted at early-career undergraduate and graduate students, and with a common goal of both recruiting and training a diverse workforce of researchers in mathematics. The new summer pre-REU (research experience for undergraduates) will recruit talented students, particularly those who might not otherwise be "plugged in" to the possibilities of the math major, out of their introductory courses, and introduce them early in their undergraduate careers to the depths of modern mathematics. Research training seminars will organize focused groups of early-career graduate students, and occasionally advanced undergraduates, to study a topic and then transition to working collaboratively on a research project. The award will also support several conferences, including three organized in collaboration with the University of Utah chapter of the Association for Women in Mathematics (AWM), as another aspect of the grant's efforts to identify and encourage traditionally under-supported mathematical talent.The University of Utah has an active group of researchers in algebra, geometry, and topology, including such areas as algebraic geometry, commutative algebra, geometric group theory, number theory, representation theory, and topology. This array of research interests will feed into the grant's programs at all levels, as the pre-REU, research training seminar, and conferences all are organized around rotating subjects within the faculty's areas of expertise. Finally, this RTG grant will vertically integrate its training programs, with graduate students assisting with the pre-REU, post-docs engaging with the research training seminars, and a full range, from undergraduate to post-doc, of young researchers participating in conferences.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.