REU Site: Combinatorics and Probability

项目主任每年将带领8名本科生参加一系列开放式研究项目，这些项目将导致至少一半的研究出版物。REU学生将形成一个队列，将在组合学，概率和概率组合学相关但不同的问题上工作。 一个特别的重点将是在通用周期和排列模式的问题。 为学生选择的问题将是当代的;困难但易于处理;更广泛的数学界感兴趣;并导致更多的问题与每一个新的结果。学生将在联合数学会议（或另一个特别针对性的会议）上展示他们的研究。 将尽一切努力在经评审的期刊上发表学生的作品。该项目的目标是在离散数学中使用低门槛高天花板的研究项目，让有才华的本科生从事他们可以在以后的职业生涯中感到自豪的研究。 参与者将能够对研究生院和专业做出更明智的选择。 组织者将积极让学生参与校园内的其他NSF计划，包括资助和尚未资助的计划。具体而言，（i）与过去一样，REU学生将在ETSU拟议的NSF-STEP项目中为本科生树立榜样。(ii)REU的学生将激励ETSU Noyce计划的学生，并从他们那里获得计算帮助。(iii)组织者将从不同的学校招募REU学生的骨干，并促进跨这一范围的研究伙伴关系。学生将在全国范围内搜索后选择，其中至少一半来自研究机会有限的学校。 首席研究员将奋进进一步改善该项目的招募代表性不足的群体的记录。这个REU网站由国防部与NSF REU计划合作共同资助。

The project director will lead eight undergraduates each year in a series of open ended research projects that will lead to a research publication in at least half the cases. REU students will form a cohort that will work on related but distinct problems in Combinatorics, Probability, and Probabilistic Combinatorics. A special focus will be on problems in Universal Cycles and Permutation Patterns. The problems selected for the students will be contemporary; difficult but tractable; of interest to the wider mathematical community; and lead to more questions with every new result. Students will present their research at the Joint Mathematics Meetings (or another specially targeted meeting). Every effort will be made to publish the students' work in refereed journals. The goal of the project is to use low-threshold high-ceiling research projects in discrete mathematics to engage talented undergraduates in research that they can be proud of later in their careers. Participants will be able to make a more informed choice about graduate school and the profession as a result of participation. The organizers will actively involve the students with other NSF initiatives on campus, both funded and as-yet-unfunded. Specifically,(i) As in the past, REU students will serve as role models to undergraduates in ETSU's proposed NSF-STEP project.(ii) REU students will inspire, and receive computational assistance from, students in ETSU's Noyce Program.(iii) The organizers will recruit a cadre of REU students from a diverse set of schools, and facilitate research partnerships across this spectrum.Students will be selected after a nationwide search, with at least half chosen from schools with limited research opportunities. The principal investigator will endeavor to further improve the project's record of recruitment of underrepresented groups.This REU site is co-funded by the Department of Defense in partnership with the NSF REU program.