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

访问和早期研究学者的数学经验（VERSEIM-REU）是塔夫茨大学为期十周的应用数学和纯数学研究项目。每年三年，九名学生将通过夏季研究活动的指导。 该计划将针对来自研究机会有限的机构的学生，他们正处于数学教育的早期阶段。该计划将为这些学生提供数学研究和学术界，工业界或政府的职业选择的预览。学者将接受培训，在同行和VERSEIM教师面前写作和展示他们的作品。专业发展机会将提供侧重于数学科学的研究生学习。该计划将提供应用数学和纯数学的研究机会，包括应用（数值）和纯（调和）分析，几何群论，机器学习，数论，积分几何，数学生物学，求解偏微分方程的量子算法和断层扫描。计划学者将提供研究任务是可访问的和数学技术是适当的和有趣的。根据他们的调查，学者们将得出结论，证明定理，作出解释，进行进一步的探索，并可能在学术会议，讲座或会议上发表或展示他们的结果。该奖项反映了NSF的法定使命，并被认为是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的支持。

The Visiting and Early Research Scholars' Experiences in Mathematics (VERSEIM-REU) is a ten-week research program in applied and pure mathematics at Tufts University. Each year for three years, nine students will be mentored through summer research activities. The program will target students from institutions with limited research opportunities who are at the early stage of their mathematical education. The program will offer these students a preview of mathematical research and career choices in academia, industry, or government. Scholars will be trained to write and present their work in front of their peers and VERSEIM faculty. Professional development opportunities will be provided focusing on graduate studies in the mathematical sciences. Social activities with other groups of students on campus will be scheduled to encourage and stimulate cross-disciplinary interactions.The program will offer research opportunities in applied and pure mathematics, including applied (numerical) and pure (harmonic) analysis, geometric group theory, machine learning, number theory, integral geometry, mathematical biology, quantum algorithms for solving PDEs, and tomography. Program Scholars will be provided with research tasks that are accessible and mathematical techniques that are appropriate and interesting. Based on their investigations, the Scholars will be expected to draw conclusions, prove theorems, make conjectures, pursue further explorations, and possibly publish or present their results at scholarly meetings, lectures, or conferences.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.