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

合作研究：REU 网站：计算代数几何、组合学和数论

• 批准号: 1156761
• 负责人: James Brown
• 金额: $ 23.45万
• 依托单位: Clemson University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-06-01 至 2015-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1156761&HistoricalAwards=false
• 关键词: Collaborative; Research; REU; Site; Computational

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.

这个REU是克莱姆森大学和斯佩尔曼学院之间的合作努力。克莱姆森大学邀请具有扎实数学背景的本科生申请为期八周的计算代数几何、数论和组合学研究经验。有美国东南部血统的合格申请人将优先选择其中最多四个职位。此外，两名参与者将是斯佩尔曼学院的本科生。参与者将获得最高500美元的旅行支持，与REU的其他参与者共享宿舍房间，最高800美元的餐费和3400美元的津贴，作为参与该计划的回报。参加者将被介绍到各种工具，技术和问题，从计算代数几何，数论，和组合。教师将在REU的第一周提出几个潜在的研究问题。参与者将自己分成两到四人一组的小组，并从提出的问题中选择一个作为REU剩余部分的重点。该计划的目标是通过让学生有机会参与重要而有趣的研究项目，帮助他们在数学研究中获得更高水平的独立性。指导将提供有效的演讲，申请研究生院，以及参与者感兴趣的其他主题。各小组将在离开项目前撰写一份总结其研究结果的最终报告。还将鼓励他们在适当的时候根据他们的工作发表论文。学生将被鼓励参加适当的会议和展示他们的工作。除了教师研究导师外，我们的项目还提供纵向整合，研究生将帮助指导本科生。作为研究工作的补充，学生们将参加每周一次的系列讲座。这些讲座将由在与学生研究问题相关的各个领域中被公认为领导者的教师讲授，他们已经证明了向不同数学成熟程度的听众清晰地传达数学思想的能力。