REU Site: Mathematical Analysis and Applications

该奖项支持研究经验的本科生（REU）网站在数学分析和应用，为期八周的夏季研究计划在密歇根大学迪尔伯恩。该计划每年将接待来自不同背景的八名本科生。该计划的主要目标是通过招募和培训下一代美国人来促进研究基础设施。这个本科生研究项目每年夏天汇集八名本科生和五名教师，在数学的各个分支合作研究项目。在三个夏天的过程中，研究项目将来自复分析，真实的分析，调和分析，随机分析，概率论，代数几何和逆问题的主题。REU参与者将实验，猜想，提供严格的解决方案，并以不同的格式呈现结果。此外，参与者将了解研究生院的申请过程和学术界和工业界的就业机会。该计划旨在招募来自不同背景的学生，包括来自代表性不足的群体，妇女和第一代大学生的学生。最后，该计划将参与者与广泛的导师和同行网络联系起来，从而帮助他们进行职业规划，并促进与科学界的长期合作。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。

This award supports the Research Experience for Undergraduates (REU) Site in Mathematical Analysis and Applications, an eight week summer research program at the University of Michigan Dearborn. The program will host eight undergraduate students per year from diverse backgrounds. The primary objective of the program is to contribute to the research infrastructure by recruiting and training the next generation of U.S.-based mathematicians.This undergraduate research program brings together eight undergraduate students and five faculty members each summer to collaborate on research projects in various branches of mathematics. Over the course of three summers, research projects will originate from the subjects of complex analysis, real analysis, harmonic analysis, stochastic analysis, probability theory, algebraic geometry, and inverse problems. REU participants will experiment, conjecture, provide rigorous solutions, and present results in different formats. In addition, participants will learn about the graduate school application process and career opportunities in both academia and industry. The program aims to recruit students from diverse backgrounds, including students from underrepresented groups, women, and first-generation college students. Finally, the program will connect participants with an extensive network of mentors and peers, thereby assisting them with career planning and fostering long-term engagement with the scientific community.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.