Center for Undergraduate Research in Mathematics

数学本科生研究中心

• 批准号: 1722563
• 负责人: Kathryn Leonard
• 金额: $ 138.76万
• 依托单位: Occidental College
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-09-01 至 2023-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1722563&HistoricalAwards=false
• 关键词: Center; Undergraduate; Research; Mathematics

The Center for Undergraduate Research in Mathematics (CURM) promotes academic year undergraduate research in mathematics and statistics based upon a model consisting of (a) training faculty members to mentor students in research, (b) engaging 2-5 students and a faculty mentor in research during the academic year at their own institution, (c) preparing students to succeed in graduate studies, and (d) advising faculty members on how to maintain consistent undergraduate research including finding resources for other funding sources. Each year, CURM will administer mini-grants to about 54 undergraduate students working in 16 groups during the academic year at various institutions across the U.S, and will provide a workshop for faculty mentor training and spring conference events for students to present their research. In past years, CURM has primarily reached four-year or comprehensive institutions. The center is now expanding its reach by (a) creating regional cross-institutional collaborations, with an emphasis on community colleges; (b) promoting regional mathematical community by integrating CURM into regional mathematical structures and outreach activities; and (c) incubating research activity at teaching-focused institutions through connections to student research. The CURM participants will perform research in various areas of mathematics. Undergraduate students will conduct research in mathematics, prepare and present conference talks, and write and publish research papers related to this research. Faculty will revitalize their research programs and connect their work to their local mathematical community. Engaging students in research provides these faculty members with an opportunity to align their research interests with the goals of their institutions. This can be particularly important for women and other underrepresented groups whose work is known to be undervalued and are who are therefore more likely to work at an institution whose research emphasis is not matched with their research talents. By adding institutional partnerships, CURM stands to spread its mentoring expertise to PhD-granting institutions where mentoring may not be a priority, and its connections to a well-established network for community colleges where undergraduate research in mathematics has not yet taken hold. The new effort to cultivate regional strengths through CURM stands to contribute to robust intellectual communities in more isolated parts of the country.

本科数学研究中心（CURM）促进数学和统计学的本科学年研究，其模式包括(a)培训教师指导学生进行研究，(b)在自己所在机构的学年中聘请2-5名学生和一名教师导师进行研究，(c)为学生在研究生学习中取得成功做好准备。(d)就如何保持本科生研究的一致性向教员提供建议，包括寻找其他资金来源的资源。CURM每年将为在美国不同机构的16个小组工作的约54名本科生提供小额资助，并将为教师导师培训和春季会议活动提供研讨会，供学生展示他们的研究。在过去几年中，CURM主要面向四年制或综合性院校。该中心目前正在通过以下方式扩大其影响范围：(a)建立区域跨机构合作，重点放在社区学院；(b)通过将CURM纳入区域数学结构和外联活动来促进区域数学界；(c)通过与学生研究的联系，在以教学为重点的机构中孵化研究活动。CURM的参与者将在数学的各个领域进行研究。本科学生将进行数学研究，准备和出席会议演讲，并撰写和发表与此研究相关的研究论文。教师将重振他们的研究项目，并将他们的工作与当地的数学社区联系起来。让学生参与研究为这些教师提供了一个机会，使他们的研究兴趣与他们机构的目标保持一致。这对妇女和其他代表性不足的群体尤其重要，因为她们的工作被认为被低估了，因此她们更有可能在一个研究重点与她们的研究才能不匹配的机构工作。通过增加机构合作伙伴关系，CURM将其指导专业知识传播给那些可能不优先考虑指导的博士学位授予机构，并与尚未建立本科数学研究的社区学院建立良好的网络联系。通过CURM培养地区优势的新努力将有助于在该国更孤立的地区建立强大的知识分子社区。

项目成果

Spectra of Weighted Composition Operators with Quadratic Symbols

具有二次符号的加权复合算子的谱

• DOI: 10.1515/conop-2022-0129
• 发表时间: 2022
• 期刊: Concrete Operators
• 影响因子: 0.6
• 作者: Doctor, Jessica;Hodges, Timothy;Kaschner, Scott;McFarland, Alexander;Thompson, Derek
• 通讯作者: Thompson, Derek

Calculating prescription rates and addiction probabilities for the four most commonly prescribed opioids and evaluating their impact on addiction using compartment modelling

计算四种最常用阿片类药物的处方率和成瘾概率，并使用室模型评估其对成瘾的影响

• DOI: 10.1093/imammb/dqab001
• 发表时间: 2021
• 期刊: Mathematical Medicine and Biology: A Journal of the IMA
• 作者: Rivas, Samantha R;Tessner, Alex C;Goldwyn, Eli E
• 通讯作者: Goldwyn, Eli E

Crossing Paths: Tips for Undergraduate Research

交叉路径：本科生研究技巧

• DOI: 10.1080/10724117.2019.1690920
• 发表时间: 2020
• 期刊: Math Horizons
• 作者: Hayes, Ashley;Hoard, Emily;Lyu, Yangsai;Pack, James;Sutton, Kelsey
• 通讯作者: Sutton, Kelsey

Counting pseudo progressions

计算伪级数

• DOI: 10.2140/involve.2020.13.759
• 发表时间: 2020
• 期刊: a Journal of Mathematics
• 作者: Cummings, Jay;Darcy, Quin;Hobson, Natalie;Horton, Drew;Rhodewalt, Keith;Throckmorton, Morgan;Ulmer-Strack, Ry
• 通讯作者: Ulmer-Strack, Ry

Prime Labelings of Snake Graphs

蛇图的素数标签

• 发表时间: 2019
• 期刊: PUMP journal of undergraduate research
• 作者: Bigham, A.;Donovan, E.A.;Pack, J.;Turley, J;Wiglesworth, L.W.
• 通讯作者: Wiglesworth, L.W.