MCTP: PI4: Program for Interdisciplinary and Industrial Internships at Illinois

伊利诺伊州的跨学科和工业实习计划是一个多年的数学研究生培训计划，旨在使学生通过三个关键的过渡点：从本科到研究生学习的过渡；从解决“固定”问题到解决开放式问题，甚至将问题本身具体化；从纯粹的“解决问题”到对现实世界的数学、科学或工程挑战进行研究的转变。该计划包括夏季迷你课程；研究生水平的研究研讨会；小组问题会议；完毕后孩子应能掌握如何;包括其他科学部门、政府研究实验室和当地技术行业合作伙伴在内的网络活动；在工业或学术研究实验室实习。研究课题包括大脑信息处理的基础、大数据算法的几何基础以及非线性控制的微分几何。将在这项活动中与数学系合作的实体包括伊利诺伊大学基因组生物学研究所、细胞和分子生物学学院、协调科学实验室、贝克曼研究所、AXIS研究中心、桑迪亚国家实验室和沃尔夫勒姆研究中心。数学科学的长期系统性趋势包括博士人数的稳步增长，同时学术终身职位的空缺也在稳步减少。这些趋势要求我们采取大胆的措施。该项目旨在为数学科学研究生创建另一种教育模式，以应对我们学科中这些广泛的系统性变化。该项目将在5年内影响超过125名美国数学科学研究生。

The Program for Interdisciplinary and Industrial Internships at Illinois is a multi-year mathematics graduate training program designed to bring students through three critical transition points: the transition from undergraduate to graduate studies; the transition from working on ``canned'' problems to tackling open-ended problems and even formulating the problems themselves; and the transition from pure ``problem solving'' to doing research on a real-world mathematical, scientific or engineering challenge. The program consists of summer mini-courses; graduate level research seminars; group problem sessions; mini-workshops; networking events that include other scientific departments, government research laboratories, and local technology industry partners; and internships in industry or in academic research laboratories. Research topics include the foundations of information processing in the brain, geometric underpinnings of big data algorithms, and the differential geometry of nonlinear control. The entities that will partner with the Department of Mathematics in this activity include the University of Illinois Institute of Genomic Biology, School of Cellular and Molecular Biology, Coordinated Sciences Laboratory, Beckman Institute, the AXIS Research Center, Sandia National Laboratories, and Wolfram Research.Long-term systemic trends in the mathematical sciences include a steady increase in numbers of PhDs produced concurrent with a steady decrease in academic tenure-track openings. These trends demand bold steps. The project aims at creating alternative educational models for graduate students in mathematical sciences that can address these broad systemic changes in our discipline. This project will impact over 125 U.S. graduate students in the mathematical sciences over a 5-year period.