REU Site: The Williams College SMALL REU program

威廉姆斯学院的小型REU项目每年夏天将25至40名本科生带到校园，在数学或统计专业的教员指导下进行为期9周的研究项目。暑假的高潮是在威廉姆斯大学进行学生研究报告，并鼓励学生在地区或国家会议上发表报告。大多数研究小组都会把他们的结果写下来，提交给研究期刊。该项目包括教职员工和学生每周的讲座，包括数学和相关领域的讲座。学生们是充满活力的科学社区的一部分，威廉姆斯大学每年夏天都有100多名学生进行数学和科学方面的原创研究，各种学术和社会活动将所有暑期的学生和教职员工聚集在一起。这一REU的目标是向本科生介绍在数学方面进行原创研究的兴奋和挑战。课程内容包括：代数几何、组合数学、交换代数、计算几何、离散几何、动力学和遍历理论、图论、双曲流形、纽结理论、数学生物学、数学物理、测度论、数论、概率论、随机矩阵理论、表示论、统计学和热带几何。在这个过程中，学生自然会学习到重要的背景材料，并被鼓励展示和发表他们的作品，这些对研究生院来说都是无价的。数学活动的多样性旨在提供丰富的智力环境。在过去的十年里，来自传统上代表性不足的群体参加该项目的学生数量大幅增加，而且正在不断努力寻找新的更好的方法来鼓励女性、第一代大学生和STEM中代表性不足的群体的申请。学生、教师和更广泛的数学界将从原创研究的介绍和出版中受益。学生将建立一个终生的同伴和导师网络，其中许多人将攻读研究生课程，部分原因是他们在REU的经验。几乎所有的学生都会在研究期刊上发表论文，许多学生会在国内和国际研究会议上展示他们的成果。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

The Williams College SMALL REU program brings 25 to 40 undergraduates to campus for 9 weeks each summer to work on research projects under the direction of faculty members in mathematics or statistics. The summer culminates with student research presentations at Williams and students are encouraged to follow up with presentations at regional or national conferences. Most research groups will write up their results for submissions to research journals. The program includes weekly talks by faculty and students, both in mathematics and in related fields. Students are part of a vibrant scientific community with over 100 students doing original research in mathematics and the sciences at Williams each summer, and there are a variety of academic and social activities bringing all summer students and faculty together.The goal of this REU is to introduce undergraduates to the excitement and challenge of doing original research in mathematics. Topics are drawn from algebraic geometry, combinatorics, commutative algebra, computational geometry, discrete geometry, dynamics and ergodic theory, graph theory, hyperbolic manifolds, knot theory, mathematical biology, mathematical physics, measure theory, number theory, probability, random matrix theory, representation theory, statistics and tropical geometry. In the process, students naturally learn significant background material and are encouraged to present as well as publish their work, all invaluable for graduate school. The variety of mathematical activities is intended to provide a rich intellectual environment. The numbers of students from traditionally under-represented groups participating in the program has increased greatly over the last ten years, and there are ongoing efforts to look for new and better ways to encourage applications from women, first generation college students, and underrepresented groups in STEM. Students, faculty and the broader mathematics community will benefit from the presentation and publication of original research. Students will develop a lifetime network of peers and mentors, and many of them will pursue graduate studies, partially because of their REU experience. Almost all students will publish papers in research journals and many present their results at national and international research 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.