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.

在威廉姆斯学院的小REU计划，每年夏天十周（九个在威廉姆斯居住，一个在家里），20至30名本科生在一名教师的指导下从事研究项目。每年夏天通常有4到6个不同大小的团体。主题将从代数几何，贝叶斯统计，组合数学，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，纽结理论，数学生物学，数学物理，测度理论，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。 这个REU的目标是向本科生介绍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，并鼓励他们展示和发表自己的作品，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，我们增加了参与该计划的妇女和代表性不足的少数民族的人数，我们正在继续寻找新的和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。几乎所有的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。

项目成果

Benford’s law and continuous dependent random variables

• DOI: 10.1016/j.aop.2017.11.013
• 发表时间: 2013-09
• 期刊: Annals of Physics
• 影响因子: 3
• 作者: Thealexa Becker;David Burt;Taylor C. Corcoran;Alexander Greaves-Tunnell;Joseph R. Iafrate;Joy Jing;Steven J. Miller;Jaclyn D. Porfilio;Ryan Ronan;J. Samranvedhya;F. Strauch;Blaine Talbut

One-level density for holomorphic cusp forms of arbitrary level

• DOI: 10.1007/s40993-017-0091-9
• 发表时间: 2016-04
• 期刊: Research in Number Theory
• 影响因子: 0.8
• 作者: Owen Barrett;Paul Burkhardt;Jonathan DeWitt;R. Dorward;Steven J. Miller