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Institute for Computational and Experimental Research in Mathematics

数学计算与实验研究所

基本信息

批准号：
1439786
负责人：
Brendan Hassett
金额：
$ 1550.27万
依托单位：
Brown University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2015
资助国家：
美国
起止时间：
2015-09-15 至 2021-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1439786&HistoricalAwards=false
关键词：
Institute Computational Experimental Research Mathematics

项目摘要

The Institute for Computational and Experimental Research in Mathematics (ICERM) is a national institute whose mission is to support and catalyze fundamental research in the mathematical sciences with a thematic focus on the fruitful interplay between mathematics and computers, explored and developed through computation and experimentation. ICERM convenes leading scientists from academia and industry, together with students and early-career researchers, in programs that generate new mathematics and that accelerate the development of tools and technology arising from new mathematics. The institute has a special focus on training the next generation of computationally skilled mathematicians and preparing them to enter a variety of scientific careers. ICERM places a priority on increasing the participation of members of groups under-represented in mathematics. To support these goals, ICERM provides a sophisticated research infrastructure as well as access to high performance computing and current software resources. ICERM programs support and broaden the relationship between mathematics and computation by expanding the use of computational and experimental methods in mathematics, by supporting theoretical advances related to computation, and by addressing, through mathematical tools, research, and innovation, problems posed by the use of the computer. Experimentation has historically been a driver of advances in fundamental research in mathematics. New technology opens up new opportunities for research and discovery through experimentation; ICERM programs aim to identify and develop such opportunities. Mathematics interacts with an ever widening range of scientific and industrial enterprises, and computation is at the heart of this interaction. ICERM programs aim to develop resources for data-driven explorations in both pure and applied areas of mathematics. ICERM serves as a national resource for mathematical activities, events, and programs that have strong computational/experimental components and that aim to catalyze development of new mathematics as well as new ways of doing mathematics. The institute runs thematic research programs together with associated international conferences, provides support for postdoctoral fellows and graduate students in residence during semester-long programs, hosts team-based research programs to train graduate and undergraduate students of mathematics in the use of experimental methodologies and computer-aided tools, and conducts a variety of independent workshops, outreach activities, and special events.

数学计算与实验研究所 (ICERM) 是一家国家研究所，其使命是支持和促进数学科学的基础研究，其主题重点是通过计算和实验探索和发展的数学与计算机之间富有成效的相互作用。 ICERM 聚集了来自学术界和工业界的顶尖科学家以及学生和早期职业研究人员，参与产生新数学并加速新数学工具和技术开发的项目。该研究所特别注重培养下一代具有计算技能的数学家，并为他们进入各种科学职业做好准备。 ICERM 优先考虑增加数学领域代表性不足的群体成员的参与。为了支持这些目标，ICERM 提供了先进的研究基础设施以及高性能计算和当前软件资源的访问权限。 ICERM 项目通过扩大数学中计算和实验方法的使用，支持与计算相关的理论进步，并通过数学工具、研究和创新解决计算机使用带来的问题，支持和扩大数学与计算之间的关系。历史上，实验一直是数学基础研究进步的驱动力。新技术为通过实验进行研究和发现开辟了新的机会； ICERM 计划旨在发现和开发此类机会。数学与越来越广泛的科学和工业企业相互作用，而计算是这种相互作用的核心。 ICERM 项目旨在为纯数学和应用数学领域的数据驱动探索开发资源。 ICERM 是数学活动、事件和项目的国家资源，具有强大的计算/实验成分，旨在促进新数学以及新的数学方法的发展。该研究所与相关国际会议一起开展专题研究项目，为博士后研究员和住院研究生提供学期项目支持，举办基于团队的研究项目，培训数学研究生和本科生使用实验方法和计算机辅助工具，并举办各种独立研讨会、外展活动和特别活动。