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

访问和早期学者在本科生数学研究经验的经验（VERSEIM-REU）是在塔夫茨大学应用和纯数学密集十周的夏季研究计划。在接下来的三年里，每年将录取9名VERSEIM学者，并由教师和高级研究生团队提供指导。VERSEIM学者将每周举行会议，非正式地讨论进展，问题和文章，并参与正在进行的专业和学术发展。他们将在节目中间和闭幕式上向小组介绍他们的工作。学者们还将定期与其他学生会面，参加社交和群体建设活动。该经验将为参与者提供知识和技能，以指导研究生院和数学科学的职业生涯。该计划将与塔夫茨访问和早期研究学者经验（VERSE）计划合作，从数学代表性不足的群体中招募学生。该计划将在数学教育的早期向VERSEIM学者介绍旨在发展他们的研究才能的项目。虽然一些潜在的问题，基于正在进行的研究的教师参与，超出了大多数本科生的水平，塔夫茨大学的团队有大量的经验，在隔离特定的问题和研究任务，激发学生的想象力，让他们探索的问题实验。学者们的实验发现会引发对问题的解释和进一步的探索，其中一些会对原有问题产生可推广的结论和证明。 学者们将在数论等领域的三个研究课题中进行选择（素数最后几位的模式），几何群论（几何群论的计算方面），纯，应用和数值谐波分析（群与积分几何，框架理论），机器学习（分析高维分子动力学模拟），数学神经科学（脑节律的功能意义），数值分析（偏微分方程的数值方法），数学生态学波动环境中的捕食者-被捕食者动力学（Predator-Prey Dynamics in Fluorescent Environments）和断层扫描有限数据层析成像的算法和理论该奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的评估被认为值得支持。影响审查标准。

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.