REU Site: REU in Discrete and Applied Mathematics

离散与应用数学的REU为初学数学的学生提供了一个非典型的机会，让他们在导师的监督下，在小团队中工作，为数学研究做出贡献。学生从少数族裔机构、公立和私立大学以及文理学院招收，从而形成了一个多元化的参与者群体。学生在大学经历的早期阶段被录取，他们对数学科学的职业前景持开放态度，但不一定要承诺。因此，该项目直接有助于国家努力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。该计划通过对可访问的开放研究问题的研究激发对数学的兴趣。学生们掌握了数学的复杂性，并朝着数学科学的职业生涯迈出了重要的一步。学生的发现有助于几个活跃的研究领域：组合博弈，结理论，递归多项式，压缩感知，随机过程，拓扑数据分析等。结果在会议报告和研究出版物中分享。学生学习阅读研究文章；提出猜想和构造例子；编程模拟；集中注意力，倾听并提问；概括和简化数学论证；并传播他们的发现。学生们沉浸在一个数学概念是新的，没有完全理解的环境中。学生们在三个独立的研究小组中工作，并每周向其他项目参与者展示他们的进展。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 REU in Discrete and Applied Mathematics provides an atypical opportunity for students who are an early stage of their study of mathematics to work in small teams under the supervision of faculty mentors to contribute to mathematical research. Students are recruited from minority institutions, public and private universities, and liberal arts colleges, resulting in a diverse group of participants. Students are recruited at an early stage of their college experience where they are open to, but not necessarily committed to, the prospect of a career in the mathematical sciences. Thus, this project contributes directly to a national effort to retain promising and talented students with a strong interest in the mathematical and physical sciences. The program stimulates interest in mathematics via research on accessible open research problems. The students acquire mathematical sophistication and take significant steps towards a career in the mathematical sciences. Students' discoveries contribute to several areas of active research: combinatorial games, knot theory, recursive polynomials, compressive sensing, stochastic processes, topological data analysis, and others. Results are shared in conference presentations and in research publications. Students learn to read research articles; to formulate conjectures and construct examples; to program simulations; to concentrate, listen, and ask questions; to generalize and simplify mathematical arguments; and to disseminate their discoveries. Students are immersed in an environment where the mathematical ideas are new and not fully understood. Students work in one of three separate research groups and present their progress on a weekly basis to the other program participants.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.