REU Site: Combinatorics and Probability

项目主任每年将带领8名本科生进行一系列开放式研究项目，其中至少一半的项目将发表研究论文。REU的学生将组成一个队列，研究组合学、概率学和概率组合学中相关但不同的问题。一个特别的焦点将是在普遍循环和排列模式的问题。为学生选择的问题将是当代的；困难的，容易处理的；更广泛的数学界感兴趣的；每一个新的结果都会引发更多的问题。学生将在联合数学会议（或其他专门的会议）上展示他们的研究成果。将尽一切努力将学生的作品发表在评审期刊上。该项目的目标是利用离散数学领域的低门槛高上限研究项目，吸引有才华的本科生参与研究，让他们在以后的职业生涯中引以为傲。作为参与的结果，参与者将能够对研究生院和专业做出更明智的选择。组织者将积极地让学生参与NSF在校园的其他活动，包括资助的和尚未资助的。具体来说，(i)与过去一样，REU的学生将在ETSU提议的NSF-STEP项目中作为本科生的榜样。（ii） REU学生将激励ETSU Noyce项目的学生，并从他们那里获得计算方面的帮助。（iii）主办单位将从不同的学校招募一批REU学生，并促进这方面的研究伙伴关系。学生将在全国范围内筛选，其中至少一半来自研究机会有限的学校。首席研究员将努力进一步改善该项目招募代表性不足群体的记录。该REU站点由国防部与NSF REU项目合作资助。

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.