Collaborative Research: Expanding Links with Industry through Collaborative Research and Education in Applied Mathematics

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）营地的研究、教育和培训合作计划。这些年会在6月连续几周举行，吸引了研究生、博士后和大学教师、应用数学家、科学家和工业工程师。该奖项为2013年、2014年和2015年夏季MPI和GSSM提供资金。MPI研讨会将于2013年在马萨诸塞州伍斯特的伍斯特理工学院举行；2014年在新泽西州纽瓦克的新泽西理工学院学习；2015年将在特拉华大学（University of Delaware）举行。GSSM夏令营将每年在纽约州特洛伊的伦斯勒理工学院（Rensselaer Polytechnic Institute）举行。MPI研讨会的重点是工业界有贡献的参与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，与玻璃片拉伸有关的数学问题，医学超声成像，以及工业检测应用中的自动缺陷识别。解决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。研讨会产生的活动的科学目标及其智力价值是研究对工业应用有重大意义的数学问题。GSMM夏令营在研讨会前一周举行，参加夏令营的研究生也参加研讨会。该营的主要目标是研究生教育和培训。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。这些问题经过精心挑选，以促进丰富的解决问题的技能，包括分析和数值，并为研讨会上考虑的具有挑战性的问题提供热身。这两个会议相辅相成，形成了一个跨学科研究、教育和培训的综合项目，在美国大学中是独一无二的。该项目是由RPI、WPI、NJIT和UD的主要研究人员组织的一项持续努力。MPI研讨会在过去的27年里每年举办一次，其主要目的是促进应用数学的研究和教育，并发展大学数学家与工业界科学家和工程师之间的联系，以实现双方的互利。在过去的9年里，工作坊的研究和教育活动因GSMM营的引入而得到加强。除了这些既定的会议外，该项目还涉及一些与研讨会和营地相关的新活动，旨在进一步推进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，支持早期职业数学家参加会议，以及与牛津协作应用数学中心合作开展研究生交流计划。总的来说，研讨会和夏令营及其相关活动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 graduate students, postdoctoral fellows and faculty from universities, and applied mathematicians, scientists and engineers from industry. This award funds the MPI and GSSM for the summer of 2013, 2014, and 2015. The MPI Workshop will be held in 2013 at Worcester Polytechnic Institute in Worcester, MA; in 2014 at New Jersey Institute of Technology in Newark, NJ; and in 2015 at the University of Delaware in Newark, DE. The GSSM Camp will be held each year at Rensselaer Polytechnic Institute in Troy, NY. 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 challenging 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 RPI, WPI, NJIT and UD. The MPI Workshop has run annually for the past 27 years with the principal aim of promoting research and education in applied mathematics and of developing links between mathematicians at universities and scientists and engineers from industry for the mutual benefit of both sides. For the past 9 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.