REU Site: Undergraduate Mathematical Science Research at James Madison University

该奖项支持詹姆斯麦迪逊大学的REU项目，该项目将连续三个夏季接待八名本科生，为期八周。该计划支持由四名学生组成的两个队列以及一对具有互补研究项目的教师。在整个夏季的课程中，每个小组将从教学/学习数学或统计学的新主题，到发展问题和猜想，再到作为真实研究经验的一部分来证明结果。由于教师有不同但相关的研究兴趣，他们能够为学生示范支持性的科学合作，并从不同的角度讨论技术主题。该计划将产生原创研究成果，并在同行评议的期刊文章中传播，并在国家、地区和地方专业会议上发表演讲。我们的教师在数学、应用数学和统计学方面的比例很好。我们利用这种广度来产生REU问题，这些问题位于两个知识领域的交叉点上，这两个教师都有可能做出重大贡献。团队的跨学科性质通过将导师置于与学生相似的基础上来支持学生的体验，因为每个导师都可能教授和学习新的东西。这种互动有助于降低学生合作的障碍，并增加整个小组的智力冒险，特别是在研究的初始阶段。它还立即创造了一个具有凝聚力的智力文化的群体，供学生在学术和社交方面进行互动。每组学生将完成一个数学研究报告，向教师和同龄人。还将为他们做好充分准备，并大力鼓励他们在方案完成后出席地方、区域和国家会议。当项目产生原创和有趣的结果时，学生将参与从起草技术写作到处理同行评审的裁判报告的出版过程。该计划将从传统上在数学领域代表性不足的群体，以及不太可能拥有支持研究活动的资源的机构中招募和选择学生。

This award supports an REU program at James Madison University that will host eight undergraduates for eight-week terms three consecutive summers. The program supports two cohorts consisting of a group of four students together with a pair of faculty who have complementary research programs. Over the course of the summer, each group will progress from teaching/learning new topics in mathematics or statistics, to developing questions and conjectures, to proving results as part of an authentic research experience. Since faculty have distinct but related research interests, they are able to model supportive scientific collaboration for the students and discuss technical topics from different points of view. The program will produce original research that is disseminated in peer-reviewed journal articles and talks at national, regional, and local professional meetings.Our faculty are well proportioned between mathematics, applied mathematics, and statistics. We leverage this breadth to produce REU problems that lie on the intersection of two domains of knowledge, in which both faculty members are likely to be able to make significant contributions. The intradisciplinary nature of the teams supports the student experience by putting the mentors on similar footing as the students insofar as each mentor will likely be teaching and learning something new. This interaction helps lower the barrier for student collaboration and increases intellectual risk-taking across the entire group, particularly in the initial stages of research. It also immediately creates a group with a cohesive intellectual culture for students to interact in, both academically and socially. Each group of students will complete the summer with a mathematical research presentation to faculty and peers. They will also be well prepared and strongly encouraged to present at local, regional and national meetings after the completion of the program. When projects generate original and interesting results, students will be involved in the publication process from drafting technical writing to addressing peer-reviewed referee reports. The program will recruit and select students from groups that are traditionally underrepresented in mathematics, as well as from institutions less likely to have resources available to support research activity.