Collaborative Research: Special Meetings: The MPI Workshop

该提案是伦斯勒理工学院、特拉华大学和伍斯特理工学院的研究人员共同努力的结果，旨在扩大和加强工业数学问题（MPI）研讨会，该研讨会每年6月与研究生数学建模（GSMM）夏令营合作举办。MPI研讨会是一个为期五天的会议，吸引了来自工业界、大学和国家实验室的领先应用数学家、科学家和工程师。研讨会的重点是工业界的参与者提出的一系列问题。这些问题跨越了广泛的应用领域，通常在流体和固体力学中，但也在数学生物学、数据分析和数学金融等领域。解决这些问题的工作是在垂直整合的团队中完成的，该团队由行业代表、高级和初级教师、博士后和研究生组成。研讨会的主要目的是为双方提供大学数学家与工业界科学家和工程师之间的联系。MPI研讨会从1985年在RPI开始，已经运行了很多年，但现在也在其他大学运行，包括特拉华大学和伍斯特理工学院等。在过去的四年里，随着另一个nsf支持的项目GSMM营的引入，研讨会的教育使命显著增加。这次为期四天的会议在研讨会的前一周举行，旨在促进解决问题和科学交流技能。在该营，研究生们在受邀的教师导师的指导下，以小组形式合作，研究通常受到工业应用启发的跨学科问题。这些问题跨越了广泛的应用领域，并经过精心挑选，以促进广泛的解决问题的技能。来自夏令营的学生也参加了研讨会，这个联合项目让研究生接触到当前科学兴趣的现实问题，并为他们提供了在传统学术环境之外的宝贵教育和职业发展经验。由MPI Workshop和GSMM Camp组成的跨学科项目在美国大学中是独一无二的。目前的合作建议提出了扩大该方案的几种方法，以改善与工业界的联系，并加强讲习班提供的研究和教育机会。这一扩展包括增加早期职业数学家（高级研究生、博士后和初级教师）参与研讨会，并邀请具有针对性专业知识的高影响力教师，以及增加新兴领域新兴行业的参与。其他计划包括在其他国家会议上传播讲习班的数学结果，并与工业界举行研讨会，促进今后参加讲习班的联系。扩大后的项目将对早期职业数学家的教育和发展，以及参与教师的跨学科研究产生广泛影响。讲习班还促进与工业界的合作，并将对工业新技术的开发和分析产生影响。该计划的智力价值集中在研讨会所考虑的问题上。这些问题中的许多已经导致了后续研究和新的数学结果，预计这将继续是扩大解决问题经验的结果。

This proposal is a collaborative effort amongst researchers at Rensselaer Polytechnic Institute, the University of Delaware, and Worcester Polytechnic Institute to expand and strengthen the Mathematical Problems in Industry (MPI) Workshop, an annual meeting run each June in cooperation with the Graduate Student Mathematical Modeling (GSMM) Camp. The MPI Workshop is a five-day meeting which attracts leading applied mathematicians, scientists and engineers from industry, universities and national laboratories. The focus of the Workshop is a set of problems brought by contributing participants from industry. These problems span a wide range of application areas, often in fluid and solid mechanics but also in mathematical biology, data analysis, and mathematical finance, among others. Work on the problems is done in vertically integrated teams consisting of the representatives from industry, senior and junior faculty, postdocs and graduate students. The main objective of the Workshop is to provide links between mathematicians at universities and scientists and engineers from industry for the mutual benefit of both sides.The MPI Workshop has run for many years, starting at RPI in 1985, but now run at other universities as well, including the University of Delaware and Worcester Polytechnic Institute, among others. For the past four years, the educational mission of the Workshop has grown significantly with the introduction of the GSMM Camp, another NSF-supported program. This four-day meeting, held during the week preceding the Workshop, is designed to promote problem solving and scientific communication skills. At the Camp, graduate students work together in teams, with the guidance of invited faculty mentors, on interdisciplinary problems typically inspired by industrial applications. The problems span a wide range of areas of application, and are carefully selected to promote a broad set of problem-solving skills. Students from the Camp also attend the Workshop, and the combined program exposes graduate students to real-world problems of current scientific interest, and provides them with a valuable educational and career-enhancing experience outside of the traditional academic setting. The interdisciplinary program consisting of the MPI Workshop and GSMM Camp is unique amongst universities in the United States. The present collaborative proposal addresses several ways in which the program can be expanded to improve links with industry and to enhance the research and educational opportunities provided by the Workshop. This expansion involves increased participation in the Workshop amongst early-career mathematicians (upper-level graduate students, postdocs and junior faculty) and invited high-impact faculty with targeted expertise, and increased participation from new industries in emerging areas. Additional plans include dissemination of mathematical results from the Workshop at other national meeting, and seminars with industry to promote contacts for future Workshop participation. The expanded program will have a broad impact on the education and development of early-career mathematicians, and on the interdisciplinary research of participating faculty. The Workshop also promotes collaborations with industry and will have an impact on the development and analysis of new technologies in industry. The intellectual merit of the program centers around the problems considered at the Workshop. Many of these problems have led to follow up research and new mathematical results, and it is expected that this will continue to be an outcome of the expanded problem-solving experience.