REU Site:Visiting and Early Research Scholars' Experiences in Mathematics (VERSEIM-REU)

REU 网站：访问学者和早期研究学者的数学经历 (VERSEIM-REU)

• 批准号: 2050412
• 负责人: Kasso Okoudjou
• 金额: $ 36.43万
• 依托单位: Tufts University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-06-01 至 2025-05-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2050412&HistoricalAwards=false
• 关键词: REU; Site; Visiting; Early; Research

The Visiting and Early Scholars’ Experiences in Mathematics Research Experiences for Undergraduates (VERSEIM-REU) is an intensive ten-week summer research program in applied and pure mathematics at Tufts University. For each of the next three years, nine VERSEIM scholars will be admitted and will be mentored by a team of faculty and advanced graduate students. VERSEIM scholars will meet weekly and informally discuss progress, questions, and articles, as well as participate in ongoing professional and academic development. They will present their work to the group in the middle of the program and in a closing ceremony. Scholars will also meet regularly with other students for social and cohort-building activities. The experience will provide participants knowledge and skills to navigate graduate school and careers in the mathematical sciences. The program will recruit students from groups underrepresented in mathematics in partnership with the Tufts Visiting and Early Research Scholars' Experience (VERSE) program.The program will introduce the VERSEIM scholars early in their mathematical education to engaging projects designed to develop their talents in research. Though some of the underlying questions, based on ongoing research of the faculty involved, are beyond the level of most undergraduate students, the Tufts team has a great deal of experience in isolating specific questions and research tasks that excite students' imagination and allow them to explore the problems experimentally. Scholars’ experimental findings would lead to conjectures and further explorations, some of which will yield generalizable conclusions and proofs for the original problems. Scholars will choose among three research topics in fields including number theory (patterns in the last digits of prime numbers), geometric group theory (computational aspects of geometric group theory), pure, applied, and numerical harmonic analysis (groups and integral geometry, frame theory), machine learning (analysis of high-dimensional molecular dynamics simulations), mathematical neuroscience (functional significance of brain rhythms), numerical analysis (numerical methods for PDEs), mathematical ecology (predator-prey dynamics in fluctuating environments), and tomography (algorithms and theory in limited data tomography).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.

本科生访问学者和早期学者数学研究经历 (VERSEIM-REU) 是塔夫茨大学为期十周的应用数学和纯数学强化暑期研究项目，未来三年每年将录取 9 名 VERSEIM 学者。并将由 VERSEIM 学者团队提供指导，每周非正式地讨论进展、问题和文章，并参与持续的专业和学术发展。他们将展示自己的工作。在课程中间和闭幕式上，学者们还将定期与其他学生进行社交和群体建设活动，这些经验将为参与者提供知识并指导他们在数学科学领域的研究生学习和职业生涯。该计划将与塔夫茨大学访问和早期研究学者体验 (VERSE) 计划合作，从数学领域代表性不足的群体中招收学生。该计划将在 VERSEIM 学者接受数学教育的早期就介绍他们参与旨在培养他们的研究才能的项目。一些底层的基于相关教师正在进行的研究，问题超出了大多数本科生的水平，塔夫茨大学团队在分离具体问题和研究任务方面拥有丰富的经验，这些问题和研究任务可以激发学生的想象力，让他们能够通过实验探索问题。学者们的实验结果将引发猜想和进一步的探索，其中一些将产生可推广的结论和对原始问题的证明。学者们将在数论（素数最后一位的模式）、几何群论（几何群论的计算方面）、纯粹、应用和数值调和分析（群和积分几何、框架理论）、机器学习（高维分子动力学模拟分析）、数学神经科学（大脑的功能意义）这个奖项是 NSF 的法定使命，并通过使用基金会的智力优点和更广泛的影响审查标准进行评估，被认为值得支持。