REU Site: Research Experience for Undergraduates in Algebra and Discrete Mathematics at Auburn University

REU 网站:奥本大学代数和离散数学本科生的研究经验

基本信息

  • 批准号:
    1950563
  • 负责人:
  • 金额:
    $ 25.92万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Standard Grant
  • 财政年份:
    2020
  • 资助国家:
    美国
  • 起止时间:
    2020-04-01 至 2024-03-31
  • 项目状态:
    已结题

项目摘要

This NSF award will support 8 undergraduate students for 8 weeks at Auburn University in each of the summers 2020-2022 to conduct research in algebra and discrete mathematics. The program is a continuation of successful NSF funded REU programs conducted by the proposers at Auburn in 1999, 2000, 2005-2008, and 2010-2019. Almost all of our alumni who are no longer undergraduates went to graduate school, slightly more than half in mathematics and the others in mathematics education, computer science, statistics and statistical sciences, including mathematical branches of biology. This shows that our program has positive impact on undergraduates and various mathematical disciplines. Our goal of having half of the participants to be women, our effort in recruiting minority students, and our focus on the American Southeast support NSF's vision of developing a diverse workforce. In 2013-2017, a number of our recent and not-so-recent alumni participated in the Masamu Program, NSF Award No. 1343651, by going to Southern Africa for the annual Southern Africa Mathematical Sciences Association conference, workshop, and Masamu Advanced Study Institute for the purpose of fostering US-Africa collaborative research with Sub-Saharan African mathematicians; this participation will continue. This project is jointly funded by the Workforce Program in the Mathematical Sciences and the Established Program to Stimulate Competitive Research (EPSCoR).Our REU focuses on some of the current research problems in algebra (computational algebra, Groebner bases) and discrete mathematics (graph theory, graphs and hypergraphs, number theory, information and coding theory). The pattern of activities will be as before: intensive introduction to problems and problem areas in the first 2-3 weeks, capped by an obligatory "ice-breaker" presentation by each participant in the 3rd week, followed by a "research institute" phase in the remaining 5 weeks, capped by a final presentation by each participant. During the research institute phase there will be frequent talks given by faculty and graduate students of the department, visiting mathematicians, and the participants themselves, but the main feature of that phase will be research carried on by the participants, in various combinations with faculty, graduate students, and by themselves. The purpose of the program is to give the participants an authentic experience of mathematical research with the goal of exciting students about going to graduate school and pursuing academic research careers. As in past years, research results will be published in books or refereed journals and presented at research 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.
NSF奖将在2020 - 2022年夏季的每个夏季在奥本大学(Auburn University)支持8周的8周大学生,以在代数和离散数学上进行研究。该计划延续了成功的NSF资助的REU计划,该计划由Auburn在1999年,2000年,2005年2008年和2010 - 2019年在奥本(Auburn)进行。我们几乎所有不再是本科生的校友都去了研究生院,数学上的一半以上,而其他校友在数学教育,计算机科学,统计和统计科学方面,包括生物学的数学分支。这表明我们的计划对大学生和各种数学学科有积极的影响。我们的目标是让一半的参与者成为女性,我们在招募少数族裔学生方面的努力以及我们对美国东南部的关注支持NSF发展多样化的劳动力的愿景。 2013 - 2017年,我们最近和不太犯的校友参加了Masamu计划,NSF No. 1343651,邀请前往南部非洲参加年度南部非洲非洲数学科学协会,研讨会和Masamu高级研究所,以促进US-AFRICA AFFRICA协作研究所与Sups-Saharan African Anfrican Anfrication;这种参与将继续。该项目是由数学科学的劳动力计划和刺激竞争性研究的既定计划共同资助的。我们的REU专注于代数(计算代数,格罗布纳基础)的一些当前研究问题,并关注数学(图形和图表,图形和超级图,数量论,编号理论,信息理论和编码理论)。活动的模式将与以前一样:在最初的2-3周内对问题和问题领域进行密集介绍,每个参与者在第三周的强制性“破冰者”演示中限制了剩下的5周的“研究机构”阶段,随后是每个参与者的最终演讲。在研究机构阶段,该系的教职员工和研究生将经常进行数学家和参与者本身的会谈,但是该阶段的主要特征将由参与者与教职员工,研究生和本身进行的各种组合进行研究。该计划的目的是为参与者提供数学研究的真实体验,目的是激发学生去研究生院并从事学术研究职业的目标。与过去的几年一样,研究结果将在书籍或裁判期刊上发表,并在研究会议上介绍。该奖项反映了NSF的法定使命,并使用基金会的知识分子优点和更广泛的审查标准,认为值得通过评估来获得支持。

项目成果

期刊论文数量(8)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Graphs with prescribed radius, diameter, and center
具有指定半径、直径和中心的图形
Friends in Zn
锌的朋友
A simpler kind of Frobenius theorem in the Gaussian integers
高斯整数中一种更简单的弗罗贝尼乌斯定理
  • DOI:
  • 发表时间:
    2022
  • 期刊:
  • 影响因子:
    0
  • 作者:
    Johnson, Peter;Pence, Travis
  • 通讯作者:
    Pence, Travis
Friends of 2 times a prime number
2 倍质数的朋友
Frobenius templates in certain 2 × 2 matrix rings
某些 2 × 2 矩阵环中的 Frobenius 模板
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{{ truncateString('Overtoun Jenda', 18)}}的其他基金

REU Site: Research Experiences for Undergraduates in Algebra and Discrete Mathematics at Auburn University
REU 网站:奥本大学代数和离散数学本科生的研究经验
  • 批准号:
    2349684
  • 财政年份:
    2024
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Continuing Grant
NSF INCLUDES Alliance: The Alliance of Students with Disabilities for Inclusion, Networking, and Transition Opportunities in STEM (TAPDINTO-STEM)
NSF INCLUDES 联盟:残疾学生在 STEM 领域的包容、交流和过渡机会联盟 (TAPDINTO-STEM)
  • 批准号:
    2119902
  • 财政年份:
    2021
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Cooperative Agreement
US-Africa Collaborative Research Network in Mathematical Sciences
美非数学科学合作研究网络
  • 批准号:
    2015425
  • 财政年份:
    2020
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Standard Grant
The Greater Alabama Black Belt Region (GABBR) LSAMP
大阿拉巴马州黑带地区 (GABBR) LSAMP
  • 批准号:
    1712692
  • 财政年份:
    2017
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Continuing Grant
REU Site: Research Experience for Undergraduates in Algebra and Discrete Mathematics at Auburn University
REU 网站:奥本大学代数和离散数学本科生的研究经验
  • 批准号:
    1560257
  • 财政年份:
    2016
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Continuing Grant
Collaborative Research: Making to Advance Knowledge, Excellence, and Recognition in STEM (MAKERS)
协作研究:促进 STEM 领域的知识、卓越和认可 (MAKERS)
  • 批准号:
    1644007
  • 财政年份:
    2016
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Standard Grant
Collaborative Research: NSF INCLUDES: South East Alliance for Persons with Disabilities in STEM (SEAPD-STEM)
合作研究:NSF 包括:东南 STEM 残疾人联盟 (SEAPD-STEM)
  • 批准号:
    1649344
  • 财政年份:
    2016
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Standard Grant
US-Africa Collaborative Research Network in Mathematical Sciences
美非数学科学合作研究网络
  • 批准号:
    1343651
  • 财政年份:
    2013
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Standard Grant
REU Site: Research Experience for Undergraduates in Algebra and Discrete Mathematics at Auburn University
REU 网站:奥本大学代数和离散数学本科生的研究经验
  • 批准号:
    1262930
  • 财政年份:
    2013
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Continuing Grant
US-Africa Advanced Study Institute and Workshop Series in Mathematical Sciences
美非数学科学高级研究院及研讨会系列
  • 批准号:
    1050259
  • 财政年份:
    2011
  • 资助金额:
    $ 25.92万
  • 项目类别:
    Standard Grant

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合作研究:REU 地点:地球与行星科学和天体物理学 REU 与纽约市立大学合作,位于美国自然历史博物馆
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  • 批准号:
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  • 批准号:
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