REU Site: Mathematical Analysis and Applications

REU 网站：数学分析与应用

• 批准号: 1950102
• 负责人: Yunus Zeytuncu
• 金额: $ 27.05万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-05-01 至 2024-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1950102&HistoricalAwards=false
• 关键词: REU; Site; Mathematical; Analysis; Applications

Research Experience for Undergraduates (REU) in Mathematical Analysis and Applications is an eight-week program at the University of Michigan Dearborn to take place in Summer 2020, 2021, and 2022. The program will host eight undergraduate students from a diverse background. The main objective of the program is to contribute to the mathematical infrastructure by recruiting and training younger generations of researchers.The undergraduate research program at University of Michigan Dearborn will bring together eight undergraduate students and five faculty members to work on research projects for eight weeks in the summer of 2020, 2021, and 2022. The goal of this summer program is to provide students a rich intellectual environment in order to practice employing mathematical ideas in solving real life problems. Participants will have unique interaction with experienced faculty mentors on projects including complex analysis, real analysis, harmonic analysis, stochastic analysis, probability theory, algebraic music theory, algebraic geometry, inverse problems. Additionally, students will learn more about the graduate school application process and career opportunities in academia and in industry. The program will be designed to recruit students from underrepresented groups, women, and first generation college students. Students will experiment, conjecture, provide rigorous solutions and present results in different formats. The program will introduce participants to a big network of mentors and peers, which will assist them in career planning and in commitment to the scientific community. Additionally, the program organizers will help students finding appropriate venues to present and publish their results.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.

研究经验的本科生（REU）在数学分析和应用是一个为期八周的计划在密歇根大学迪尔伯恩将在夏季2020年，2021年和2022年举行。该计划将接待来自不同背景的八名本科生。密歇根大学迪尔伯恩的本科研究项目将于2020年、2021年和2022年夏季汇集8名本科生和5名教职员工，进行为期8周的研究项目。这个暑期课程的目标是为学生提供一个丰富的智力环境，以实践运用数学思想解决真实的生活问题。参与者将有独特的互动与经验丰富的教师导师的项目，包括复杂的分析，真实的分析，谐波分析，随机分析，概率论，代数音乐理论，代数几何，逆问题。此外，学生将更多地了解研究生院的申请过程和学术界和工业界的就业机会。该计划将旨在从代表性不足的群体，妇女和第一代大学生中招募学生。学生将实验，猜想，提供严格的解决方案，并以不同的格式呈现结果。该计划将向参与者介绍一个由导师和同行组成的大型网络，这将帮助他们进行职业规划并致力于科学界。此外，项目组织者将帮助学生找到合适的场所来展示和发表他们的成果。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智力价值和更广泛的影响审查标准进行评估来支持。

项目成果

CR embeddability of quotients of the Rossi sphere via spectral theory

基于谱理论的罗西球商的 CR 嵌入性

• DOI: 10.1142/s0129167x22500148
• 发表时间: 2022
• 期刊: International Journal of Mathematics
• 影响因子: 0.6
• 作者: Bosch, Henry;Gonzales, Tyler;Spinelli, Kamryn;Udell, Gabe;Zeytuncu, Yunus E.
• 通讯作者: Zeytuncu, Yunus E.

A Tauberian approach to Weyl’s law for the Kohn Laplacian on spheres

球体上科恩拉普拉斯算子的韦尔定律的陶伯方法

• DOI: 10.4153/s0008439521000163
• 发表时间: 2022
• 期刊: Canadian Mathematical Bulletin
• 作者: Bosch, Henry;Gonzales, Tyler;Spinelli, Kamryn;Udell, Gabe;Zeytuncu, Yunus E.
• 通讯作者: Zeytuncu, Yunus E.

A Tauberian approach to an analog of Weyl’s law for the Kohn Laplacian on compact Heisenberg manifolds

紧海森堡流形上科恩拉普拉斯算子Weyl定律的陶伯法模拟

• DOI: 10.1007/s40627-022-00094-3
• 发表时间: 2022
• 期刊: Complex Analysis and its Synergies
• 作者: Fan, Colin;Kim, Elena;Zeytuncu, Yunus E.
• 通讯作者: Zeytuncu, Yunus E.