REU Site: The Williams College SMALL REU program

在威廉姆斯学院的小型REU项目中，每年夏天有10周的时间(9周在威廉姆斯住校，1周在家)，20到30名本科生在一名教员的指导下从事研究项目。每年夏天通常有4到6个不同规模的团队。课程内容包括：代数几何、贝叶斯统计、组合学、交换代数、计算制图、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、神经网络、数论、并行处理、粒子碰撞、概率、随机矩阵理论、黎曼几何、对称群和机器人拓扑学。这个REU的目标是向本科生介绍在数学方面进行原创性研究的兴奋和挑战。在这个过程中，学生自然会学到大量的背景知识，并被鼓励展示和发表他们的作品，这些对研究生来说都是无价的。丰富多彩的数学活动提供了丰富的智力环境。我们的国家需要对数学有更广泛的欣赏和理解，不能把任何人排除在外。在过去的五年里，我们增加了参加该计划的妇女和代表不足的少数族裔的人数，我们正在继续寻找新的更好的方式来鼓励妇女、少数族裔、第一代大学生和其他代表不足的群体的申请。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。几乎所有的学生都在研究期刊上发表论文，许多学生在国内和国际研究会议上展示他们的研究成果。

In the Williams College SMALL REU program, for ten weeks each summer (nine in residence at Williams and one at home), 20 to 30 undergraduates work on research projects under the direction of a faculty member. There are usually between 4 and 6 groups each summer of various sizes. Topics will be drawn from algebraic geometry, Bayesian statistics, combinatorics, commutative algebra, computational cartography, computational geometry, CR structures, discrete geometry, dynamics and ergodic theory, graph theory, hyperbolic manifolds, knot theory, mathematical biology, mathematical physics, measure theory, minimal surfaces, neural networks, number theory, parallel processing, particle collisions, probability, random matrix theory, Riemannian geometry, symmetry groups, and the topology of robotics. The goal of this REU is to introduce undergraduates to the excitement and challenge of doing original research in mathematics. In the process, students naturally learn a great deal 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 women and under-represented minorities 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 under-represented 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.