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:
1929284
负责人:
Brendan Hassett
金额:
$2366.06万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2020
资助国家:
美国
项目状态:
未结题
起止时间:
2020-09-01 至 2025-08-31

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,其使命是促进数学科学中的基础研究。它的重点是数学和计算机之间富有成效的相互作用,这是通过计算和实验发展起来的。ICERM通过支持与计算有关的理论进步和解决使用计算机所引起的数学问题来实现这一使命。数学影响着越来越多的科学和工业企业--包括密码学、数据分析、流体力学、图像处理和工业设计--而计算是这种互动的核心。该研究所特别注重培训下一代的计算技能,为他们在各种科学职业中做好准备。ICERM致力于增加在数学方面代表性不足的群体成员的参与。为了支持这些目标,它提供了复杂的研究基础设施,包括访问高性能计算和最先进的软件资源。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,参与产生新数学并加速由新数学产生的技术发展的计划。该研究所通过为博士后研究员和研究生提供支持的为期一学期的项目来实现其目标;为期一周的研讨会传播最新研究并促进新的合作;以及基于团队的研究项目,让研究生和本科生接触实验方法和计算机辅助工具。其独立的科学顾问委员会根据科学界的建议选择主题;由此产生的项目向来自全国和世界各地的学生和研究人员开放。ICERM通过开放的思想交流文化和丰富的计算工具环境,支持在纯数学和应用数学领域进行数据驱动的探索。该研究所还举办了许多外展活动和公共活动,展示数学研究和计算进步的美丽和社会影响。该奖项反映了NSF的法定使命,并通过使用基金会的智力优势和更广泛的影响审查标准进行评估,被认为值得支持。
英文摘要
The Institute for Computational and Experimental Research in Mathematics (ICERM) is a national institute whose mission is to catalyze fundamental research in the mathematical sciences. Its focus is the fruitful interplay between mathematics and computers, developed through computation and experimentation. ICERM pursues this mission by supporting theoretical advances related to computation and by addressing mathematical problems posed by the use of the computer. Mathematics influences an ever-widening range of scientific and industrial enterprises - including cryptography, data analysis, fluid dynamics, image processing, and industrial design - and computation is at the heart of this interaction. The institute has a special focus on training the next generation in computational skills, preparing them for a variety of scientific careers. ICERM works to increase the participation of members of groups underrepresented in mathematics. To support these goals, it provides a sophisticated research infrastructure including access to high-performance computing and state-of-the-art software resources.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 technology arising from new mathematics. The institute pursues its goals through semester-long programs, with support for postdoctoral fellows and graduate students; week-long workshops disseminating the latest research and catalyzing new collaborations; and team-based research programs exposing graduate and undergraduate students to experimental methodologies and computer-aided tools. Its independent Scientific Advisory Board chooses topics based on proposals from the scientific community; the resulting programs are open to students and researchers from across the country and around the world. ICERM supports data-driven explorations in both pure and applied areas of mathematics through a culture of open exchange of ideas and an environment rich in computational tools. The institute also hosts numerous outreach activities and public events showing the beauty and social impact of mathematical research and computational advances.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.
期刊论文(7)
专著(0)
科研奖励(0)
会议论文
DOI: 10.1137/21m1406568
发表时间: 2021-01
期刊: SIAM J. Imaging Sci.
影响因子: --
作者: [Wei Li;J. Schotland;Yang Yang-Yang;Yimin Zhong]
通讯作者: Wei Li;J. Schotland;Yang Yang-Yang;Yimin Zhong
DOI: 10.5070/c63160416
发表时间: 2021-07
期刊: Combinatorial Theory
影响因子: --
作者: [M. Gillespie;Sean T. Griffin;J. Levinson]
通讯作者: M. Gillespie;Sean T. Griffin;J. Levinson
Permutohedral complexes and rational curves with cyclic action
具有循环作用的全面体复形和有理曲线
DOI: 10.1007/s00229-022-01419-6
发表时间: 2022
期刊: manuscripta mathematica
影响因子: 0.6
作者: [Clader, Emily, Damiolini, Chiara, Huang, Daoji, Li, Shiyue, Ramadas, Rohini]
通讯作者: Ramadas, Rohini
DOI: 10.1103/physrevresearch.3.043101
发表时间: 2021-02
期刊: Physical Review Research
影响因子: 4.2
作者: [B. Keith;Akshay Khadse;Scott E. Field]
通讯作者: B. Keith;Akshay Khadse;Scott E. Field
共 7 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:
    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:
    Institute for Computational and Experimental Research in Mathematics
    • 批准号:
      1439786
    • 项目类别:
      Continuing Grant
    • 资助金额:
      $1550.27万
    • 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