Collaborative Research: REU Site: Computational Algebraic Geometry, Combinatorics, and Number Theory

该 REU 是克莱姆森大学和斯佩尔曼学院之间的合作成果。邀请具有扎实数学背景的本科生申请在克莱姆森大学进行为期八周的计算代数几何、数论和组合学研究。 其中最多四个职位将优先考虑来自美国东南部的合格申请人。 此外，其中两名参与者将是斯佩尔曼学院的本科生。 参与者将获得高达 500 美元的旅行支持、与 REU 的其他参与者共享的宿舍、高达 800 美元的餐费和 3,400 美元的津贴，作为参与该计划的回报。参与者将了解计算代数几何、数论和组合学的各种工具、技术和问题。 REU 的第一周，教师将提出几个潜在的研究问题。参与者将分成两到四人的小组，并选择提出的问题之一作为 REU 其余部分的重点关注。 该计划的目标是通过让学生有机会参与重要且有趣的研究项目，帮助他们在数学研究中获得更高水平的独立性。 将提供有关进行有效演讲、申请研究生院以及参与者感兴趣的其他主题的指导。 在离开项目之前，团队将撰写一份最终报告，总结他们的研究结果。 还将鼓励他们在适当的时候发表基于其工作的论文。 我们将鼓励学生参加适当的会议并展示他们的作品。除了教师研究导师之外，我们的项目还提供垂直整合，因为研究生将帮助指导本科生。作为研究工作的补充，学生将参加每周的系列讲座。 这些讲座将由被公认为与学生研究问题相关的各个领域的领导者的教师进行，他们已经证明有能力向不同数学成熟度水平的听众清晰地传达数学思想。

This REU is a collaborative effort between Clemson University and Spelman College. Undergraduate students who have a solid background in mathematics are invited to apply for an eight-week research experience in computational algebraic geometry, number theory and combinatorics to be held at Clemson University. Preference for up to four of these positions will be given to qualified applicants who have roots in the Southeastern United States. In addition, two of the participants will be undergraduates from Spelman College. The participants will be offered up to $500 in travel support, a dorm room to be shared with other participants in the REU, up to $800 for meals and a stipend of $3,400 in return for their participation in this program.Participants will be introduced to various tools, techniques and problems from computational algebraic geometry, number theory, and combinatorics. Faculty will present several potential research problems the first week of the REU. The participants will divide themselves into teams of two to four participants and pick one of the problems presented on which to focus for the remainder of the REU. The goal of the program is to help students attain a higher level of independence in mathematical research by giving them the opportunity to take part in a significant and interesting research project. Guidance will be provided on giving effective presentations, applying to graduate schools, and other topics of interest to the participants. The teams will write up a final report summarizing their research findings before leaving the program. They will also be encouraged to publish papers based upon their work when appropriate. Students will be encouraged to attend appropriate conferences and present their work. In addition to the faculty research mentors, our program provides vertical integration as graduate students will help mentor the undergraduate students. As a complement to working on their research, students will attend a weekly lecture series. These lectures will be given by faculty that been recognized as leaders in the various fields related to the students' research problems and who have demonstrated the ability to clearly communicate mathematical ideas to audiences of varying levels of mathematical maturity.