REU Site: Extremal Graph Theory and Dynamical Systems at RIT

在极端图论和动力系统的REU网站在技术（RIT）的罗切斯特研究所将积极从事十名学生在2023年，2024年和2025年的每个夏天在数学科学的研究经验。研究项目将在图论，线性代数和动力系统，其中一些是与数学生物学领域。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。学生将在每周结束时就他们的研究成果进行演讲。该计划将非常重视与其他数学家的网络，并将包括一个“驻地研究人员”的组成部分，来自RIT外部的专家访问该计划，并与学生和教师合作。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。在该计划期间，学生还将参加科学研讨会的道德。招聘工作将针对大学、文科学院和社区学院的学生。该计划的一个重要组成部分是将妇女、少数民族和来自没有博士学位的大学的学生包括在内。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建模和与全球气候系统相关的复杂网络分析。以理论为重点的项目将包括结构和极图理论以及线性代数的问题。教师和参与者将利用数学软件包，包括Mathematica，Matlab，Sage和Nauty来帮助计算和模拟。该奖项反映了NSF的法定使命，并被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。

The 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 of 2023, 2024, and 2025 in research experiences in the mathematical sciences. Research projects will be in the areas of graph theory, linear algebra, 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 a "Researchers in Residence" component, where experts from outside of RIT 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. An important element of the program will be the inclusion of women, minorities, and students from colleges without Ph.D. programs or which 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 complex networks related to global climate systems. Projects with a theoretical focus will include problems from structural and extremal graph theory and linear algebra. The faculty and participants 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.