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

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:
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
项目状态:
未结题
起止时间:
2019-06-01 至 2025-05-31

项目摘要

项目成果

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中文摘要
翻译
这个研究培训小组奖,“RTG:代数,几何和拓扑学在犹他州大学”将培养新一代的研究人员从事和支持本科生,研究生和博士后学者的研究。该补助金特别旨在鼓励学生在他们的教育过渡时刻,通过针对早期职业本科生和研究生的计划,并与招聘和培训数学研究人员的多元化劳动力的共同目标。新的夏季前REU(本科生的研究经验)将招募有才华的学生,特别是那些谁可能不会以其他方式“插入”到数学专业的可能性,他们的入门课程,并介绍他们在他们的本科生涯早期到现代数学的深度。研究培训研讨会将组织职业生涯早期的研究生,偶尔先进的本科生的重点群体,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,包括三个与犹他州大学分会的妇女在数学协会(AWM)合作组织,作为赠款的另一个方面的努力,以确定和鼓励传统上支持不足的数学人才。犹他州大学有一个活跃的研究小组在代数,几何和拓扑,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在各级提供赠款的计划,作为前REU,研究培训研讨会和会议都是围绕教师的专业领域内的旋转主题组织的。最后,该RTG基金会将垂直整合其培训项目,研究生参与REU前培训,博士后参与研究培训研讨会,以及从本科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。
英文摘要
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.
期刊论文(25)
专著(0)
科研奖励(0)
会议论文
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
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
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]
通讯作者: Emily Stark;Daniel J. Woodhouse
共 25 条
    A Unified Perspective on Singularities in Commutative Algebra and Algebraic Geometry
    • 批准号:
      2101800
    • 项目类别:
      Continuing Grant
    • 资助金额:
      $41.23万
    • 财政年份:
      2021
    • 负责人:
      Karl Schwede
    • 依托单位:
    Commutative Algebra: Singularities in All Characteristics with Geometric Applications
    • 批准号:
      1801849
    • 项目类别:
      Standard Grant
    • 资助金额:
      $18.2万
    • 财政年份:
      2018
    • 负责人:
      Karl Schwede
    • 依托单位:
    CAREER: Test Ideals and the Geometry of Projective Varieties in Positive Characteristic
    • 批准号:
      1501102
    • 项目类别:
      Continuing Grant
    • 资助金额:
      $40.08万
    • 财政年份:
      2014
    • 负责人:
      Karl Schwede
    • 依托单位:
    FRG: Collaborative Research: Birational Geometry and Singularities in Zero and Positive Characteristic
    • 批准号:
      1501115
    • 项目类别:
      Continuing Grant
    • 资助金额:
      $19.14万
    • 财政年份:
      2014
    • 负责人:
      Karl Schwede
    • 依托单位:
    海外基金