The Williams College SMALL REU Program

在威廉姆斯学院小REU计划，每年夏天十周（九个在威廉姆斯居住，一个在家里），25至40名本科生在数学或统计学教员的指导下从事研究项目。每年夏天通常有4到7个不同大小的团体。夏天的高潮是演讲（在威廉姆斯和经常在会议上），大多数小组都把他们的工作写下来提交给研究期刊。教师和学生每周都有数学和相关领域的讲座。学生是一个充满活力的科学社区的一部分;超过100名学生做数学和科学的原创性研究在威廉姆斯每年夏天，有各种各样的学术和社会活动，使所有的暑期学生和教师聚集在一起。这个REU的目标是介绍本科生的兴奋和做数学原创性研究的挑战。主题将从代数几何，贝叶斯统计，组合数学，交换代数，计算几何，CR结构，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，极小曲面，数论，概率论，随机矩阵理论，表示论，黎曼几何，对称群和热带几何。在这个过程中，学生们自然会学到很多背景知识，并被鼓励展示和发表他们的作品，这对研究生院来说都是无价的。数学活动的多样性为学生提供了丰富的智力环境。 我们的国家需要更广泛地欣赏和理解数学，不能遗漏任何人。 在过去的五年里，我们增加了传统上代表性不足的群体参加该计划的学生人数，我们正在继续寻找新的更好的方法来鼓励妇女，少数民族，第一代大学生和其他代表性不足的群体的申请。 学生，教师和更广泛的数学界将受益于原创研究的介绍和出版。学生将发展一个终身网络的同龄人和导师，他们中的许多人将继续研究生学习，部分原因是他们的REU经验。几乎所有学生都在研究期刊上发表论文，许多学生在国家和国际研究会议上展示他们的成果。

In the Williams College SMALL REU program, for ten weeks each summer (nine in residence at Williams and one at home), 25 to 40 undergraduates work on research projects under the direction of a faculty member in mathematics or statistics. There are usually between 4 and 7 groups each summer of various sizes. The summer culminates with presentations (at Williams and often at conferences), and most groups write up their work for submission to a research journal. There are weekly talks by faculty and students, both in mathematics and in related fields. Students are part of a vibrant scientific community; over 100 students do original research in mathematics and the sciences at Williams each summer, and there are a variety of academic and social activities bringing all the 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 will be drawn from algebraic geometry, Bayesian statistics, combinatorics, commutative algebra, computational geometry, CR structures, discrete geometry, dynamics and ergodic theory, graph theory, hyperbolic manifolds, knot theory, mathematical biology, mathematical physics, measure theory, minimal surfaces, number theory, probability, random matrix theory, representation theory, Riemannian geometry, symmetry groups, and tropical geometry. In the process, students naturally learn lots of background and are encouraged to present as well as publish their work, all invaluable for graduate school. The variety of mathematical activities provides a rich intellectual environment. Our nation needs a wider appreciation and understanding of mathematics, and cannot afford to leave anyone out. We have increased the numbers of students from traditionally under-represented groups participating in the program over the last five years, and we are continuing to look for new and better ways to encourage applications from women, minorities, first generation college students, and other underrepresented groups. 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 publish papers in research journals and many present their results at national and international research conferences.