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
• 负责人: Overtoun Jenda
• 金额: $ 28.77万
• 依托单位: Auburn University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2016
• 资助国家: 美国
• 起止时间: 2016-05-01 至 2020-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1560257&HistoricalAwards=false
• 关键词: REU; Site; Research; Experience; Undergraduates

Ten undergraduates will assemble for 8 weeks at Auburn University in each of the summers 2016-2018 to conduct research in algebra and discrete mathematics. This program is a continuation of successful REU programs conducted by the proposers at Auburn in prior years. 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 themselves. The purpose of the program is to give the participants an authentic experience of mathematical research.This 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). As in past years, results will be published in books or refereed journals.

2016-2018 年每年夏天，十名本科生将在奥本大学聚集，进行为期 8 周的代数和离散数学研究。该计划是奥本提案者前几年成功开展的 REU 计划的延续。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，研究生和他们自己。该项目的目的是让参与者获得数学研究的真实体验。该 REU 重点关注代数（计算代数、格罗布纳基）和离散数学（图论、图和超图、数论、信息和编码理论）。 与过去几年一样，研究结果将发表在书籍或参考期刊上。