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: 2241623
• 负责人: Steven Miller
• 金额: $ 30万
• 依托单位: Williams College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2023
• 资助国家: 美国
• 起止时间: 2023-07-15 至 2026-06-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2241623&HistoricalAwards=false
• 关键词: REU; Site; Williams; College; SMALL

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.

威廉姆斯学院小REU项目每年夏天都会吸引25至40名本科生到校园学习9周，在数学或统计学教师的指导下开展研究项目。夏季在威廉姆斯学生的研究报告达到高潮，并鼓励学生在区域或国家会议上跟进报告。大多数研究小组将把他们的结果写下来提交给研究期刊。该计划包括教师和学生在数学和相关领域的每周谈话。学生是一个充满活力的科学社区的一部分，每年夏天有100多名学生在威廉姆斯进行数学和科学的原创研究，并且有各种各样的学术和社会活动将所有暑期学生和教师聚集在一起。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。主题是从代数几何，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，随机矩阵理论，表示论，统计和热带几何。在这个过程中，学生自然会学到重要的背景材料，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。数学活动的多样性旨在提供丰富的智力环境。在过去的十年里，传统上代表性不足的群体参与该计划的学生人数大大增加，并且正在努力寻找新的更好的方法来鼓励女性，第一代大学生和STEM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。几乎所有的学生都将在研究期刊上发表论文，许多学生将在国家和国际研究会议上展示他们的成果。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Optimal point sets determining few distinct angles

确定几个不同角度的最佳点集

• 发表时间: 2023
• 期刊: AUSTRALASIAN JOURNAL OF COMBINATORICS
• 影响因子: 0.5
• 作者: Henry L. Fleischmann*, Steven J.

Lower-Order Biases in the Second Moment of Dirichlet Coefficients in Families of L -Functions

L 函数族狄利克雷系数二阶矩的低阶偏差

• DOI: 10.1080/10586458.2021.1980453
• 发表时间: 2023
• 期刊: Experimental Mathematics
• 影响因子: 0.5
• 作者: Asada, Megumi;Chen, Ryan C.;Fourakis, Eva;Kim, Yujin Hong;Kwon, Andrew;Lichtman, Jared Duker;Mackall, Blake;Miller, Steven J.;Winsor, Eric;Winsor, Karl
• 通讯作者: Winsor, Karl

Recurrence relations for S-legal index difference sequences

S-legal索引差异序列的递归关系

• 发表时间: 2023
• 期刊: The Fibonacci quarterly
• 作者: Guilherme Zeus Dantas E Moura, Andrew Keisling

Composition Properties of Knots in Handlebodies

手柄体中结的成分特性

• 发表时间: 2023
• 期刊: New York journal of mathematics
• 影响因子: 0.6
• 作者: C. Adams;D. Santiago
• 通讯作者: D. Santiago

VC-Dimension and Distance Chains in ${\Bbb F}_q^d$

${Bbb F}_q^d$ 中的 VC 尺寸和距离链

• 发表时间: 2024
• 期刊: Korean journal of mathematics
• 影响因子: 0.4
• 作者: Ruben Ascoli*, Livia Betti*