REU Site: REU in Discrete and Applied Mathematics

在离散和应用数学的REU提供了一个非典型的机会，为学生谁是他们的数学学习的早期阶段，在教师导师的监督下，在小团队工作，以促进数学研究。 学生从少数民族机构、公立和私立大学以及文科学院招募，从而形成了多样化的参与者群体。 学生在他们的大学经历的早期阶段被招募，他们对数学科学职业的前景持开放态度，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、有才华的学生。 该计划通过研究可访问的开放式研究问题来激发对数学的兴趣。学生获得数学的复杂性，并采取重大步骤迈向职业生涯中的数学科学。 学生的发现有助于活跃的研究的几个领域：组合游戏，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;制定图表和构建示例;编程模拟;集中注意力，倾听和提问;概括和简化数学论点;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。 学生在三个独立的研究小组之一工作，每周向其他计划参与者展示他们的进展。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.