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：
Overtoun Jenda
金额：
$ 25.92万
依托单位：
Auburn University
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

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1950563&HistoricalAwards=false
关键词：
REU Site Research Experience Undergraduates

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.

该 NSF 奖项将支持 8 名本科生于 2020 年至 2022 年每年夏天在奥本大学进行为期 8 周的代数和离散数学研究。该计划是提案者于 1999 年、2000 年、2005-2008 年和 2010-2019 年在奥本实施的 NSF 资助的 REU 计划的成功延续。几乎所有不再是本科生的校友都进入了研究生院，略多于一半的人攻读数学专业，其余的则攻读数学教育、计算机科学、统计学和统计科学，包括生物学的数学分支。这表明我们的项目对本科生和各个数学学科产生了积极的影响。我们的目标是让一半的参与者是女性，我们在招募少数族裔学生方面所做的努力，以及我们对美国东南部的关注，都支持 NSF 发展多元化劳动力的愿景。 2013-2017年，我们的一些新近和不太新近的校友参加了Masamu计划，NSF奖编号1343651，前往南部非洲参加年度南部非洲数学科学协会会议、研讨会和Masamu高级研究旨在促进美国-非洲与撒哈拉以南非洲数学家的合作研究的研究所；这种参与将继续下去。该项目由数学科学劳动力计划和刺激竞争性研究既定计划 (EPSCoR) 联合资助。我们的 REU 重点关注代数（计算代数、Groebner 基）和离散数学（图论）中的一些当前研究问题、图和超图、数论、信息和编码理论）。活动模式将与以前一样：在前 2-3 周集中介绍问题和问题领域，最后在第三周由每个参与者进行强制性的“破冰”演示，然后是“研究机构”阶段在剩下的 5 周内，每个参与者都会进行最后的演讲。在研究所阶段，该系的教师和研究生、访问数学家和参与者本人会经常进行演讲，但该阶段的主要特点是参与者与教师进行各种组合进行研究，研究生，以及他们自己。该计划的目的是为参与者提供真实的数学研究体验，目的是激发学生进入研究生院并从事学术研究职业。与过去几年一样，研究成果将在书籍或参考期刊上发表，并在研究会议上发表。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

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

DOI：
发表时间：
2021-01
期刊：
International journal of mathematics and computer science
影响因子：
0
作者：
Guest, Kelly;Johnson, Andrew;Johnson, Peter;Jones, William;Takahashi, Yuki;Zhang, Zhichun
通讯作者：
Zhang, Zhichun

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