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

RTG：犹他大学的代数、几何和拓扑

• 批准号: 1840190
• 负责人: Karl Schwede
• 金额: $ 249.28万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-06-01 至 2025-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1840190&HistoricalAwards=false
• 关键词: RTG; Algebra; Geometry; Topology; University

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.

该研究培训小组奖“ RTG：犹他大学的代数，几何学和拓扑”将通过参与和支持本科生，研究生和博士后学者的研究来培训新一代研究人员。该赠款尤其旨在通过针对早期学科的本科生和研究生的计划来鼓励学生参加他们的教育过渡时刻，并具有招募和培训数学研究人员多样化的劳动力的共同目标。新的夏季鲁欧（Aummer Reu）（本科生的研究经验）将招募有才华的学生，尤其是那些可能不会“插入”数学专业的可能性的人，他们的入门课程是在他们的入门课程中，并在本科生的早期介绍他们的本科生职业。研究培训研讨会将组织专注的早期研究生的团队，并偶尔会先进的本科生，研究主题，然后过渡到研究项目合作。该奖项还将支持几次会议，包括与犹他大学妇女数学协会（AWM）合作组织的三场会议，这是该授权努力识别和鼓励传统上不足的数学人才的努力的另一个方面。理论，表示理论和拓扑。 这些研究兴趣将在各个层面上都融入该赠款计划，因为培训前，研究培训研讨会和会议都是围绕教师专业知识领域内的旋转主题进行组织的。最后，这项RTG赠款将垂直整合其培训计划，研究生协助进行了培训前，与研究培训研讨会的互动，从本科生到研究生的全面范围，参与会议的年轻研究人员参加了会议。这项奖项反映了NSF的法定任务，并反映了通过评估的构成群体的支持者，该奖项已被视为众所周知的构成者的宗旨。

项目成果

The minimal model program for threefolds in characteristic 5

特征 5 中三重的最小模型程序

• DOI: 10.1215/00127094-2022-0024
• 发表时间: 2022
• 期刊: Duke Mathematical Journal
• 影响因子: 2.5
• 作者: Hacon, Christopher;Witaszek, Jakub
• 通讯作者: Witaszek, Jakub

Locally Complete Intersection Maps and the Proxy Small Property

局部完整的交叉路口地图和代理小属性

• DOI: 10.1093/imrn/rnab041
• 发表时间: 2021
• 期刊: International Mathematics Research Notices
• 影响因子: 1
• 作者: Briggs, Benjamin;Iyengar, Srikanth B;Letz, Janina C;Pollitz, Josh
• 通讯作者: Pollitz, Josh

Recognizing Galois representations of K3 surfaces

识别 K3 曲面的伽罗瓦表示

• DOI: 10.1007/s40993-019-0154-1
• 发表时间: 2019
• 期刊: Research in Number Theory
• 影响因子: 0.8
• 作者: Klevdal, Christian

The scheme of monogenic generators II: local monogenicity and twists

单基因生成器方案 II：局部单基因性和扭曲

• DOI: 10.1007/s40993-023-00449-7
• 发表时间: 2023
• 期刊: Research in Number Theory
• 影响因子: 0.8
• 作者: Arpin, Sarah;Bozlee, Sebastian;Herr, Leo;Smith, Hanson
• 通讯作者: Smith, Hanson

Hyperbolic Groups That Are Not Commensurably Co-Hopfian

• DOI: 10.1093/imrn/rnaa033
• 发表时间: 2018-12
• 期刊: International Mathematics Research Notices
• 影响因子: 1
• 作者: Emily Stark;Daniel J. Woodhouse