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.

基于（a）培训教职员工在研究中，（b）培训教师的研究学年，（b）在研究年内，（c）为研究人员的研究成员（c），（c），（c）促进研究生（c）（c），（c），（c），（c）促进（c），（c）（c）（c），（c），（c），（c）（c）（c），（c），（c）促进（c）（c），（c），（c）（c），（c），（c）（c），（c）（c），（c）（c），（C）包括寻找其他资金来源的资源。每年，Curm都会在美国各个机构的学年期间，为大约54名本科生的小组管理小组，并为学生提供教师培训和春季会议活动的研讨会，以供学生介绍他们的研究。在过去的几年中，Curm主要达到四年或全面的机构。该中心现在通过（a）建立区域跨机构合作来扩大其影响力，重点是社区大学； （b）通过将Curm整合到区域数学结构和外展活动中来促进区域数学社区； （c）通过与学生研究的联系在以教学为中心的机构中孵化研究活动。 Curm参与者将在数学的各个领域进行研究。本科生将在数学上进行研究，准备和主持会议演讲，并撰写和发表与这项研究有关的研究论文。教师将振兴他们的研究计划，并将其工作与当地的数学社区联系起来。吸引学生参与研究，使这些教职员工有机会使他们的研究兴趣与机构的目标保持一致。对于众所周知的工作被低估的妇女和其他代表性不足的群体而言，这可能是尤其重要的，因此，他们更有可能在研究重点的机构工作，他们的研究才能与他们的研究能力不符。通过添加机构合作伙伴关系，Curm将其指导专业知识传播到博士学位的机构，在这些机构中，指导可能不是优先事项，并且与成熟的社区大学网络的联系尚未获得数学研究的社区大学。通过Curm培养区域优势的新努力代表为该国较孤立的地区的强大知识社区做出贡献。

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

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

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

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

An Assure AI Bot (AAAI bot)

Assure AI 机器人（AAAI 机器人）

• DOI: 10.1109/isncc55209.2022.9851759
• 发表时间: 2022
• 期刊: Proceedings of ISNCC
• 作者: Tellez, N;Serra, J;Kumar, Y;Morreale, P
• 通讯作者: Morreale, P