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.

此REU是克莱姆森大学和斯佩尔曼学院之间的合作努力。邀请具有扎实数学背景的本科生申请在Clemson University举行的计算代数几何，数字理论和组合学方面的八周研究经验。 偏爱这些职位中的四个职位，将偏向于在美国东南部有扎根的合格申请人。 此外，两个参与者将是斯佩尔曼学院的大学生。 参与者将获得高达500美元的旅行支持，与REU中的其他参与者共享的宿舍，最高$ 800的餐点以及津贴3,400美元，以便他们参加此计划。工具，技术和问题来自计算代数几何，数字理论和组合学。 教师将在REU的第一周提出一些潜在的研究问题。参与者将把自己分成两到四名参与者的团队，并选择一个要集中在REU的问题上的问题之一。 该计划的目的是通过使他们有机会参加一个重要而有趣的研究项目来帮助学生在数学研究中获得更高的独立性。 将提供有关提供有效演讲，申请研究生院以及参与者感兴趣的其他主题的指南。 团队将写一份最终报告，总结了他们的研究结果，然后才离开计划。 还将鼓励他们根据工作在适当的时候根据其工作发表论文。 将鼓励学生参加适当的会议并介绍他们的工作。除了教师研究导师外，我们的计划还提供垂直整合，因为研究生将帮助指导本科生。为了补充他们的研究，学生将参加每周的讲座系列。 这些讲座将由教师进行，这些讲座被认为是与学生的研究问题有关的各个领域的领导者，并且已经证明了能够将数学思想清楚地传达给数学成熟度水平的受众的能力。