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

伊利诺伊大学的跨学科和工业实习计划是一个为期多年的数学研究生培训计划，旨在帮助学生度过三个关键的过渡点：从本科生到研究生的过渡；从研究“罐头”问题到解决开放式问题甚至制定问题本身的过渡；从纯粹的“解决问题”过渡到研究现实世界的数学、科学或工程挑战。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；迷你研讨会；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的网络活动；以及在工业或学术研究实验室的实习。研究主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Wolfram Research。数学科学的长期系统趋势包括在学术终身教职空缺稳步减少的同时产生的博士数量稳步增加。这些趋势需要采取大胆的举措。该项目旨在为数学科学研究生创建替代教育模式，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.