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

2016-2018年的每个暑假，10名本科生将聚集在奥本大学进行为期8周的代数和离散数学研究。这一计划是前几年在奥本大学成功实施的REU计划的延续。活动的模式将一如既往：在头2-3周集中介绍问题和问题领域，在第3周由每个参与者进行强制性的“破冰”报告，然后在剩下的5周进行“研究”阶段，最后由每个参与者进行最后的报告。在研究所阶段，将有教职员工和研究生、客座数学家以及参与者本人的频繁演讲，但该阶段的主要特点将是参与者与教师、研究生和他们自己进行的各种组合的研究。该计划的目的是给参与者一个真实的数学研究体验。这个REU集中在代数(计算代数，Groebner基)和离散数学(图论，图和超图，数论，信息和编码理论)中的一些当前研究问题。与过去几年一样，研究结果将发表在书籍或参考期刊上。

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.