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

10名本科生将聚集在奥本大学在2016年至2018年的每个夏天8周进行代数和离散数学的研究。该计划是前几年由奥本的提议者进行的成功的REU计划的延续。活动的模式将与以前一样：在前2-3周集中介绍问题和问题领域，在第3周由每位参与者进行强制性的“破冰”演讲，然后在剩余的5周内进行“研究机构”阶段，最后由每位参与者进行最后演讲。在研究所阶段，将有教师和研究生的部门，来访的数学家，和参与者自己的频繁会谈，但该阶段的主要特点将是研究进行的参与者，在各种组合与教师，研究生，和自己。该计划的目的是让参与者获得真实的数学研究体验。该REU重点关注代数（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）中当前的一些研究问题。 与往年一样，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.