Collaborative Research: The MPI Workshop and GSMM Camp

该项目是一个基于工业数学问题(MPI)研讨会和研究生数学建模(GSMM)夏令营的研究、教育和培训合作项目。这些在6月份连续几周举行的年度会议吸引了来自学术机构和工业界的数学家、科学家和工程师。大学的参与者包括研究生、博士后研究员和教职员工。MPI研讨会的重点是来自行业的贡献者带来的一系列问题。这些问题跨越了广泛的应用领域，通常是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。最近的问题包括，例如，电磁波与纳米结构相互作用的数学模型，与玻璃板拉深有关的数学问题，医学超声成像，以及工业检测应用中的自动缺陷识别。这些问题的工作是在垂直整合的团队中完成的，团队由来自行业的代表、高级和初级教师、博士后和研究生组成。讲习班所开展活动的科学目标及其学术价值是研究对工业应用有重大意义的数学问题。GSMM夏令营在讲习班前一周举行，参加夏令营的研究生也参加讲习班。夏令营的主要目标是研究生教育和培训。在夏令营，研究生们在特邀教师的指导下，在团队中合作，解决通常受到工业应用启发的跨学科问题。精心选择这些问题，以促进丰富的分析和数值解决问题的技能，并为研讨会上审议的困难问题提供热身。这两个会议相辅相成，形成了一个综合性的跨学科研究、教育和培训计划，这在美国的大学中是独一无二的。该项目是由伦斯勒理工学院、特拉华大学、伍斯特理工学院和新泽西理工学院的主要研究人员组织的持续努力。MPI工作坊在过去26年每年举办一次，主要目的是促进应用数学的研究和教育，并发展学术界和工业界之间的联系，以实现双方的共同利益。在过去的8年里，讲习班的研究和教育活动通过引入全球管理和管理营得到了加强。除了这些既定的会议外，该项目还包括一些与研讨会和夏令营相关的新活动，旨在进一步推动合作计划的研究和教育目标。这些活动包括引入研究生奖学金计划，支持职业生涯早期的数学家参加会议，以及与牛津合作应用数学中心合作制定研究生交换计划。总的来说，讲习班和夏令营及其相关活动对早期数学家的教育和发展以及参与的教师的跨学科研究和教育活动产生了广泛的影响。讲习班还促进与工业界的合作，并对工业界新技术的开发和分析产生影响。

The project is a collaborative program of research, education and training based on the Mathematical Problems in Industry (MPI) Workshop and the Graduate Student Mathematical Modeling (GSMM) Camp. These annual meetings, held during successive weeks in June, attract mathematicians, scientists, and engineers from academic institutions and from indusry. University participants include graduate students, postdoctoral fellows and faculty. The focus of the MPI Workshop is a set of problems brought by contributing participants from industry. These problems span a wide range of areas of applications, often in fluid and solid mechanics but also in mathematical biology, data analysis, and mathematical finance, among others. Recent problems have included, for example, mathematical models for electromagnetic wave interactions with nanostructures, mathematical problems related to drawing of glass sheets, medical ultrasonic imaging, and automatic defect recognition in industrial inspection applications. The 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 scientific objective of the activity generated by the Workshop and its intellectual merit is the study of mathematical problems of significant interest for industrial applications. The GSMM Camp is held during the week prior to the Workshop, and graduate students attending the Camp also attend the Workshop. The main objective of the Camp is graduate student education and training. 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 are carefully chosen to promote a rich set of problem-solving skills, both analytical and numerical, and to provide a warm-up for the difficult problems considered at the Workshop. The two meetings complement each other and form a comprehensive program of interdisciplinary research, education and training that is unique amongst universities in the United States.The project is an ongoing effort organized by the principal investigators at Rensselaer Polytechnic Institute, University of Delaware, Worcester Polytechnic Institute and New Jersey Institute of Technology. The MPI Workshop has run annually for the past 26 years with the principal aim of promoting research and education in applied mathematics and of developing links between academics and industry for the mutual benefit of both sides. For the past 8 years, the research and educational activities of the Workshop have been enhanced by the introduction of the GSMM Camp. In addition to these established meetings, the project involves a number of new activities associated with the Workshop and Camp designed to further advance the research and educational objectives of the collaborative program. These activities include the introduction of a graduate student fellowship program, support for early-career mathematicians to attend the meetings, and the development of a graduate student exchange program in cooperation with the Oxford Center for Collaborative Applied Mathematics. Overall, the Workshop and Camp, and its associated activities, have a broad impact on the education and development of early-career mathematicians, and on the interdisciplinary research and educational activities of participating faculty. The Workshop also promotes collaborations with industry and has an impact on the development and analysis of new technologies in industry.