REU Site: Research Experiences for Undergraduates in Discrete and Applied Mathematics

这个项目支持密歇根州立大学的一个为期三年的本科生研究经验项目。每年有八名学生将参加为期八周的暑期课程。该计划强调本科生谁是在他们的数学学习的早期阶段，谁渴望在数学科学研究的职业生涯的参与。两个主要目标支撑了该计划的结构。首先，该计划旨在增加获得研究机会，特别是对于那些还没有致力于攻读研究生课程或在本科院校没有获得研究机会的学生。第二，该计划有助于在数学科学正在进行的研究，通过对可访问的研究问题的工作，适合学生在学习的早期阶段的实验和理论组成部分。 这两个目标都有助于国家努力招募和留住对数学和物理科学有浓厚兴趣的有前途和有才华的学生。 这个REU网站支持谁是在他们的数学学习的早期阶段的学生。 来自代表性不足群体的学生，他们只完成了一年或两年的数学学习，或者没有进入大型研究部门的学生被选为参与者。 学生学习阅读研究文章;制定图表和构建示例;程序模拟;集中注意力，倾听和提问;概括和简化证明;并传播他们的发现。 学生们沉浸在一个数学思想是新的，没有完全理解的环境中。 学生在小型研究团队中工作，并定期向所有REU参与者展示他们的进展。该计划通过研究可访问的开放问题来激发对数学的兴趣。 学生获得数学的复杂性，并在数学科学的职业生涯中取得进展。 这些发现有助于积极研究的几个领域，包括纽结理论，博弈论，最佳运输，随机分形和拓扑数据分析。 该奖项反映了NSF的法定使命，并被认为值得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来支持。

This project supports a three year Research Experiences for Undergraduates site at Michigan State University. Eight students per year will participate in an eight-week summer program. The program emphasizes the participation of undergraduate students who are at an early stage of their study of mathematics and who aspire to a career in research in the mathematical sciences. Two primary goals underpin the program’s structure. First, the program seeks to increase access to research opportunities, especially for students who are not already committed to pursuing graduate studies or who do not have access to research opportunities at their undergraduate institution. Second, the program contributes to ongoing research in the mathematical sciences through work on accessible research problems with experimental and theoretical components suitable for students at an early stage of their studies. Both of these goals contribute to the national effort to recruit and retain promising and talented students with a strong interest in the mathematical and physical sciences. This REU site supports students who are at an early stage of their study of mathematics. Students from underrepresented groups, who have only completed one or two years of study of mathematics, or who are without access to large research departments are selected as participants. Students learn to read research articles; formulate conjectures and construct examples; program simulations; concentrate, listen, and ask questions; generalize and simplify proofs; and disseminate their discoveries. Students are immersed in an environment where the mathematical ideas are new and not fully understood. Students work in small research teams and present their progress on a regular basis to all REU participants. The program stimulates interest in mathematics via research on accessible open problems. The students acquire mathematical sophistication and progress towards a career in the mathematical sciences. Discoveries contribute to several areas of active research including knot theory, game theory, optimal transport, random fractals, and topological data analysis. Results are shared in conference presentations and in research publications.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.