REU Site: REU in Discrete and Applied Mathematics

离散和应用数学的REU为处于数学学习早期阶段的学生提供了一个非典型的机会，他们可以在教师导师的监督下以小组形式工作，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科学院招收，因此参与者多种多样。学生是在大学经历的早期阶段被录取的，他们对数学科学的前景持开放态度，但不一定致力于此。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式研究问题的研究来激发人们对数学的兴趣。这些学生掌握了数学知识，并在数学科学领域迈出了重要的一步。学生的发现有助于活跃研究的几个领域：组合博弈、纽结理论、递归多项式、压缩传感、随机过程、拓扑数据分析等。成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；建立猜想和构造例子；编程模拟；集中注意力、倾听和提出问题；概括和简化数学论点；以及传播他们的发现。学生们沉浸在这样一个环境中，其中的数学思想是新的，没有被完全理解。学生们在三个不同的研究小组中工作，并每周向其他项目参与者介绍他们的进展。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势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.