REU Site: Extremal Graph Theory and Dynamical Systems

罗切斯特理工学院（RIT）的NSF-REU极值图论和动力系统站点将在2020年、2021年和2022年的每个夏季积极吸引10名学生参与数学研究经验。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。所有学生将在整个项目中直接与RIT教师一起工作，并将在数学研究实践以及书面和口头交流方面获得指导。学生们将在每周结束时就他们的研究成果作报告。该项目将重点强调与其他数学家的联系，并将包括“常驻研究人员”，来自我校以外的专家将访问该项目，并与学生和教师合作。研究项目的成果将通过在参考期刊上发表的出版物、在国家和区域数学会议上的发言以及在学生的家庭机构中传播。学生将被鼓励在数学科学领域进行研究生学习和就业。在项目期间，学生们还将参加一个科学伦理研讨会。招生工作将针对大学、文理学院和社区学院的学生。纳入妇女和少数民族将是该方案的一个重要组成部分。我们计划让50%的学生是女性，让25%的学生来自代表性不足的少数群体。我们的目标是让80%的参与者来自主办机构以外，重点是从没有博士学位或研究机会有限的大学招收学生。研究项目将影响离散数学和应用数学领域。应用项目将包括心律失常的建模，以及生物和社会网络的分析。以理论为重点的项目将包括极值图论和结构图论、图标记和延迟微分方程等问题。我们将利用数学软件包，包括Mathematica， Matlab， Sage和Nauty来帮助进行计算和模拟。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

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 2020, 2021, and 2022 in research experiences in mathematics. Research projects will be in the areas of graph theory and dynamical systems, some of which are linked to mathematical biology. 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. Students will give presentations on their research findings at the end of each week. The program will have a heavy emphasis on networking with other mathematicians and will include "Researchers in Residence," where experts from outside of our university visit the program and collaborate with students and faculty. 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 also participate in an Ethics in Science Workshop. The recruitment efforts will target students from universities, liberal arts colleges, and community colleges. Inclusion of women and minorities will be an important element of the program. We plan to have 50 percent of the students be female and aim to have 25 percent of the students be from underrepresented minority groups. We will also aim to have 80 percent of the participants from outside of the host institution, with an emphasis on recruiting students from colleges without Ph.D. programs or have limited research opportunities.Research projects will impact the areas of discrete and applied mathematics. Applied projects will include modeling of cardiac arrhythmia, and analysis of biological and social networks. Projects with a theoretical focus will include problems from extremal and structural graph theory, graph labeling, and delay differential equations. We will utilize mathematical software packages including Mathematica, Matlab, Sage, and Nauty to help with computations and simulations.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.