REU in Extremal Graph Theory and Dynamical Systems

极值图论和动力系统中的 REU

• 批准号: 1358583
• 负责人: Darren Narayan
• 金额: $ 28.78万
• 依托单位: Rochester Institute of Tech
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-03-01 至 2017-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1358583&HistoricalAwards=false
• 关键词: REU; Extremal; Graph; Theory; Dynamical

The NSF-REU Site in Extremal Graph Theory and Dynamical Systems at the Rochester Institute of Technology (RIT) will actively engage ten students in each of the summers 2014, 2015, and 2016 in a research experience in mathematics. Research projects will be in the areas of graph theory and dynamical systems, some of which are linked to mathematical biology. Projects will include both applied and theoretical topics. Applied projects will include development and analysis of functional connectivity models of the human brain, and modeling of cardiac arrhythmia. Projects with a theoretical focus will include problems from extremal graph theory, graph labeling, and delay differential equations.All students will work directly with RIT faculty for the entirety of the program and will receive mentoring in mathematical research practices, as well as in written and oral communication. The program will have a heavy emphasis on networking with other mathematicians and will include a "Researcher in Residence," where an expert from outside of our university visits the program and works with the students. Results from research projects will be disseminated through publications in refereed journals, presentations at national and regional mathematical meetings, and at the students' home institutions. Students will be encouraged to pursue graduate studies and employment in the mathematical sciences. During the program students will participate in an Ethics in Science Workshop. The REU program will intersect with RIT's Summer Mathematics Institute where each of the REU students will present to more than 50 mathematics high school teachers from New York State. The recruitment efforts will target students from universities, liberal arts colleges, and community colleges. The PI aims to have 80 percent of the participants from outside of the host institution, with an emphasis on drawing students from colleges without Ph.D. programs or have limited research opportunities.

NSF-REU网站在极值图论和动力系统在技术（RIT）的罗切斯特研究所将积极从事10名学生在2014年，2015年和2016年的夏天，在数学的研究经验。研究项目将在图论和动力系统领域，其中一些与数学生物学有关。项目将包括应用和理论主题。应用项目将包括开发和分析人脑的功能连接模型，以及心律失常的建模。 以理论为重点的项目将包括极值图论，图形标记和延迟微分方程的问题。所有学生将直接与RIT教师合作完成整个课程，并将接受数学研究实践以及书面和口头交流的指导。该计划将非常重视与其他数学家的网络，并将包括一个“驻地研究员”，来自我们大学以外的专家访问该计划并与学生一起工作。研究项目的结果将通过在评审期刊上发表，在国家和地区数学会议上发表演讲以及在学生的家庭机构中传播。学生将被鼓励追求研究生学习和就业的数学科学。在课程期间，学生将参加科学研讨会的道德。REU计划将与RIT的夏季数学研究所交叉，每个REU学生将向来自纽约州的50多名数学高中教师介绍。招聘工作将针对大学、文科学院和社区学院的学生。PI的目标是让80%的参与者来自主办机构之外，重点是吸引没有博士学位的大学生。研究项目或研究机会有限。