REU Site: Combinatorics and Probability

项目主任每年将带领八名本科生参与一系列开放式研究项目，这些项目将在至少一半的情况下导致研究发表。REU的学生将组成一个队列，研究组合学、概率和概率组合学中相关但不同的问题。特别关注的是宇宙循环和排列模式中的问题。为学生选择的问题将是当代的；困难但容易处理的；更广泛的数学界感兴趣的；每一个新的结果都会带来更多的问题。学生将在联合数学会议(或其他特别会议)上展示他们的研究成果。将尽一切努力在参考期刊上发表学生的作品。该项目的目标是利用离散数学中的低门槛高上限研究项目，让有才华的本科生参与到他们以后职业生涯中可以引以为豪的研究中。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。组织者将积极让学生参与NSF在校园内的其他倡议，包括资助的和尚未资助的。具体地说，(I)和过去一样，REU的学生将在ETSU拟议的NSF-STEP项目中作为本科生的榜样。(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援助。(Iii)组织者将从不同的学校招募一支REU学生队伍，并促进这一领域的研究伙伴关系。学生将在全国范围内搜索后选出，其中至少一半来自研究机会有限的学校。首席调查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网站由国防部与NSF REU计划共同资助。

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.