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

这个NSF奖将支持8名本科生在奥本大学在2024年至2026年的每个夏天8周。该计划是NSF资助的REU计划的延续，该计划由提议者于1999年，2000年，2005 - 2008年和2010 - 2023年在奥本进行。REU将专注于代数（计算代数，Groebner基地）和离散数学（图论，图形和超图，信息和编码理论和数论）的研究问题。该计划将对攻读数学科学研究生培训的本科生产生积极影响，并支持NSF发展多元化科学劳动力的愿景。本项目由数学科学研究经验的本科生网站计划共同资助（DMS REU网站）和既定的计划，以刺激竞争力的研究（EPSCoR）。活动的模式将：在前两周对问题领域进行密集介绍，在第三周由每位参与者进行强制性的"破冰"演讲，在余下的五个星期里，是"研究所"阶段，最后由每个参加者作最后陈述。在研究所阶段，将有经常由教师和研究生的主办部门，访问数学家，和参与者自己的会谈，但该阶段的主要特点将是由参与者进行的研究，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有一个真实的数学研究经验，目的是让学生对去研究生院和追求学术研究事业感到兴奋。与往年一样，研究成果将发表在书籍或参考期刊上，并在研究会议上发表。有关该计划的更多信息可以在www.example.com上找到，该奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

This NSF award will support 8 undergraduate students for 8 weeks at Auburn University in each of the summers 2024-2026. The program is a continuation of NSF funded REU programs conducted by the proposers at Auburn in 1999, 2000, 2005-2008, and 2010-2023. The REU will focus on research problems in algebra (computational algebra, Groebner bases) and discrete mathematics (graph theory, graphs and hypergraphs, information and coding theory, and number theory). The program will have a positive impact on undergraduates pursuing graduate training in the mathematical sciences and supports NSF's vision of developing a diverse scientific workforce. This project is jointly funded by the Mathematical Sciences Research Experiences for Undergraduates Sites Program (DMS REU Sites) and the Established Program to Stimulate Competitive Research (EPSCoR).The pattern of activities will be: intensive introduction to problem areas in the first two weeks, capped by an obligatory "ice-breaker" presentation by each participant in the third week, followed by a "research institute" phase in the remaining five 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 host department, visiting mathematicians, and the participants themselves, but the main feature of that phase will be the 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. More information on the program can be found at https://cws.auburn.edu/apspi/pm/mathreu.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.