REU Site: The Williams College SMALL REU program

REU 站点：威廉姆斯学院小型 REU 项目

• 批准号: 1347804
• 负责人: Steven Miller
• 金额: $ 36万
• 依托单位: Williams College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-06-01 至 2018-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1347804&HistoricalAwards=false
• 关键词: REU; Site; Williams; College; SMALL

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.

在威廉姆斯学院的 SMALL REU 项目中，每年夏天有 10 周（九周在威廉姆斯学院住宿，一周在家），20 至 30 名本科生在一名教职人员的指导下开展研究项目。每年夏天通常有 4 到 6 个不同规模的团体。主题将来自代数几何、贝叶斯统计、组合学、交换代数、计算制图学、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、结论、数学生物学、数学物理、测度论、最小曲面、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。 REU 的目标是向本科生介绍进行数学原创研究的兴奋和挑战。 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，这对于研究生院来说是无价的。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，不能遗漏任何人。 在过去的五年里，我们增加了参与该计划的女性和代表性不足的少数群体的数量，并且我们正在继续寻找新的、更好的方法来鼓励女性、少数群体、第一代大学生和其他不足的群体申请。代表团体。 学生、教师和更广泛的数学界将受益于原创研究的展示和出版。学生将建立终生的同龄人和导师网络，其中许多人将继续攻读研究生，部分原因是他们在 REU 的经历。几乎所有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成果。

项目成果

One-level density for holomorphic cusp forms of arbitrary level

任意级全纯尖点形式的一级密度

• DOI: 10.1007/s40993-017-0091-9
• 发表时间: 2017-12
• 期刊: Research in Number Theory
• 影响因子: 0.8
• 作者: Barrett, Owen;Burkhardt, Paula;DeWitt, Jonathan;Dorward, Robert;Miller, Steven J.
• 通讯作者: Miller, Steven J.

Benford’s law and continuous dependent random variables

本福德定律和连续因随机变量

• DOI: 10.1016/j.aop.2017.11.013
• 发表时间: 2018-01
• 期刊: Annals of Physics
• 影响因子: 3
• 作者: Becker, Thealexa;Burt, David;Corcoran, Taylor C.;Greaves;Iafrate, Joseph R.;Jing, Joy;Miller, Steven J.;Porfilio, Jaclyn D.;Ronan, Ryan;Samranvedhya, Jirapat;et al
• 通讯作者: et al