课题基金 / 基金详情

Institute for Computational and Experimental Research in Mathematics

Institute for Computational and Experimental Research in Mathematics
数学计算与实验研究所
批准号:
1439786
负责人:
Brendan Hassett
金额:
$1550.27万
依托单位:
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
项目状态:
已结题
起止时间:
2015-09-15 至 2021-08-31

项目摘要

项目成果

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中文摘要
翻译
数学计算与实验研究所(ICERM)是一个国家研究所,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和计算机之间富有成效的相互作用。ICERM召集来自学术界和工业界的顶尖科学家,以及学生和职业生涯早期的研究人员,参加产生新数学并加速由新数学产生的工具和技术开发的计划。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。国际教育、科学和文化权利委员会将增加数学代表性不足群体成员的参与作为优先事项。为了支持这些目标,ICERM提供了复杂的研究基础设施以及获取高性能计算和当前软件资源的途径。ICERM方案支持和扩大数学中计算和实验方法的使用,支持与计算有关的理论进步,并通过数学工具、研究和创新解决使用计算机提出的问题,从而支持和扩大数学和计算之间的关系。从历史上看,实验一直是数学基础研究进步的驱动力。新技术通过实验为研究和发现打开了新的机会;ICERM计划旨在发现和开发这样的机会。数学与越来越多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是一个全国性的数学活动、活动和程序的资源,这些活动、事件和程序具有强大的计算/实验组成部分,旨在促进新数学的发展以及新的数学方法。该研究所与相关的国际会议一起举办主题研究计划,在为期一学期的计划期间为博士后研究员和驻校研究生提供支持,主办基于团队的研究计划,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,并举办各种独立的研讨会、外联活动和特别活动。
英文摘要
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.
期刊论文(24)
专著(0)
科研奖励(0)
会议论文
DOI: 10.1016/j.jcp.2020.109667
发表时间: 2020-06
期刊: J. Comput. Phys.
影响因子: --
作者: [Mario J. Bencomo;W. Symes]
通讯作者: Mario J. Bencomo;W. Symes
The distribution of knots in the Petaluma model
Petaluma 模型中结的分布
DOI: 10.2140/agt.2018.18.3647
发表时间: 2018
期刊: Algebraic geometric topology
影响因子: --
作者: [Even-Zohar, C, Hass, J, Linial, N, Nowik, T]
通讯作者: Nowik, T
SCHMIDT'S GAME ON HAUSDORFF METRIC AND FUNCTION SPACES: GENERIC DIMENSION OF SETS AND IMAGES
施密特关于豪斯多夫度量和函数空间的博弈:集合和图像的通用维数
DOI: 10.1112/mtk.12068
发表时间: 2021
期刊: Mathematika
影响因子: 0.8
作者: [Farkas, Ábel, Fraser, Jonathan M., Nesharim, Erez, Simmons, David]
通讯作者: Simmons, David
DOI: 10.1112/s0025579316000139
发表时间: 2016-04
期刊: Mathematika
影响因子: 0.8
作者: [S. Bettin;S. Gonek]
通讯作者: S. Bettin;S. Gonek
共 24 条
    Conference: Arithmetic, Birational Geometry, and Moduli
    • 批准号:
      2309181
    • 项目类别:
      Standard Grant
    • 资助金额:
      $5.0万
    • 财政年份:
      2023
    • 负责人:
      Brendan Hassett
    • 依托单位:
    Institute for Computational and Experimental Research in Mathematics
    • 批准号:
      1929284
    • 项目类别:
      Continuing Grant
    • 资助金额:
      $2366.06万
    • 财政年份:
      2020
    • 负责人:
      Brendan Hassett
    • 依托单位:
    Rationality and Irrationality in Families of Varieties
    • 批准号:
      1701659
    • 项目类别:
      Standard Grant
    • 资助金额:
      $17.94万
    • 财政年份:
      2017
    • 负责人:
      Brendan Hassett
    • 依托单位:
    Descent, rational points, and the geometry of moduli spaces
    • 批准号:
      1551514
    • 项目类别:
      Continuing Grant
    • 资助金额:
      $24.68万
    • 财政年份:
      2015
    • 负责人:
      Brendan Hassett
    • 依托单位:
    国内基金
    海外基金
    Computational Methods for Analyzing Toponome Data