REU: Modern Topics in Pure and Applied Mathematics

REU：纯粹数学和应用数学的现代主题

基本信息

批准号：
2149913
负责人：
Maria Cameron
金额：
$ 48.05万
依托单位：
University of Maryland, College Park
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2022
资助国家：
美国
起止时间：
2022-03-01 至 2025-02-28
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2149913&HistoricalAwards=false
关键词：
REU Modern Topics Pure Applied

项目摘要

This project supports a summer undergraduate research experience in mathematical sciences at the University of Maryland – College Park. The project will contribute to the development of a mathematically sophisticated workforce and broaden the participation of undergraduate students in research in the mathematical sciences. Twelve undergraduates will participate each summer in an eight week residential summer program, preceded by a two week remote training session. Each research team will involve a faculty mentor together with a graduate student assistant. This REU project has three primary goals. The first goal is to nurture research abilities, promote independent thinking, and enhance the technical and presentation skills of the undergraduate participants. The second goal is to provide training to undergraduates from schools with limited research opportunities in STEM fields. The final goal is to provide graduate students with hands-on experience in the supervision of REU projects and administration of REU programs. Student participants will engage in cutting-edge research in a variety of fields within contemporary pure and applied mathematics. The program will also contribute to students’ professional development by offering a diverse array of seminars and workshops, and will provide students with opportunities to present the results of their work at high-profile national conferences.Undergraduate participants in this research program will conduct research in pure and applied mathematical fields under the supervision of experienced faculty and graduate student mentors. Projects will range from mathematical modelling in materials science to machine learning methods for the study of rare events in random systems to applications of harmonic analysis in the representations of data via neural networks. Other projects will originate from mathematical fields such as optimal transport theory, geometric flows, convex and differential geometry, and cluster algebras. Student participants will also gain valuable professional experience through involvement in a series of workshops and seminars: the Update Seminar (where undergraduate participants will give talks on the progress of their research), the Exposure Seminar (where faculty from the host institution and nearby universities will give expository talks on their research), and the Lunchtime Workshop (where a variety of professional development topics will be addressed). Following the conclusion of the summer program, students will remain in contact with their faculty mentors for additional guidance on the preparation of final reports, research articles, and conference presentations.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.

该项目支持马里兰大学帕克分校数学科学领域的暑期本科生研究经验，该项目将有助于培养一支具有丰富数学知识的队伍，并扩大本科生对数学科学研究的参与。每年夏天，为期八周的住宿暑期课程，每个研究团队都会有一名教师导师和一名研究生助理。该项目有三个主要目标：第一个目标是培养研究能力。，提倡独立思考，提升技术能力第二个目标是为 STEM 领域研究机会有限的学校的本科生提供培训，最终目标是为研究生提供 REU 项目监督和 REU 管理的实践经验。学生参与者将参与当代纯数学和应用数学各个领域的前沿研究，该项目还将通过提供各种研讨会和讲习班来促进学生的专业发展，并为学生提供机会。在备受瞩目的国家级会议上展示他们的工作成果该研究项目的本科生参与者将在经验丰富的数学教师和研究生导师的监督下进行纯粹和应用领域的研究，项目范围从材料科学的数学建模到研究随机系统中罕见事件的机器学习方法。其他项目将源自数学领域，例如最优传输理论、几何流、凸几何和微分几何，并且学生参与者还将通过参与获得宝贵的专业经验。一系列研讨会和研讨会：更新研讨会（本科生参与者将就他们的研究进展进行演讲）、曝光研讨会（来自主办机构和附近大学的教师将就他们的研究进行说明性演讲）和午餐研讨会（其中各种夏季课程结束后，学生将与导师保持联系，以获得有关准备最终报告、研究文章和会议演讲的更多指导。该奖项反映了 NSF 的法定使命和目标。已经通过使用基金会的智力优点和更广泛的影响审查标准进行评估，认为值得支持。