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Institute for Pure and Applied Mathematics

Institute for Pure and Applied Mathematics
纯粹与应用数学研究所
批准号:
1925919
负责人:
Dimitri Shlyakhtenko
金额:
$2500.0万
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

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中文摘要
翻译
纯粹和应用数学研究所(IPAM)的使命是建立新的包容性跨学科研究社区,促进数学与广泛的科学和技术的互动,促进数学创新,并通过数学参与和改变世界。数学在当今的科学和技术中正变得越来越重要,应用范围非常广泛,如搜索引擎、密码学、医学成像、人工智能等。未来的发展,从可持续能源生产到自动驾驶汽车,再到量子计算机,需要进一步的数学创新和现有数学的应用。IPAM的总体目标是促进数学家与医生、工程师、物理学家、社会科学家和人文学家的互动,使未来的技术和社会进步成为可能。IPAM通过研讨会和将数学与其他学科或多个数学领域联系起来的长期计划来履行其使命。这些活动每年吸引数以千计的来自学术界、政府和工业界的参观者,在职业生涯的各个阶段。IPAM还有一些计划,鼓励妇女和少数族裔成员加入数学界,这些计划服务于政府机构的具体需求,并让公众了解现代数学的兴奋之处以及通过数学为社会做出的重要贡献。以学生为中心的课程突出了数学学位的价值,以及数学专业学生可以选择的多种职业道路。通过这些活动,IPAM服务于国家利益。IPAM通过刺激科学进步所需的数学发展来促进科学进步;通过应对当前科学和社会挑战的计划促进国家健康、繁荣和福利。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 mission of the Institute for Pure and Applied Mathematics (IPAM) is to build new inclusive interdisciplinary research communities, to foster the interaction of mathematics with a broad range of science and technology, to promote mathematical innovation, and to engage and transform the world through mathematics. Mathematics is becoming increasingly central to today’s science and technology, with applications as diverse as search engines, cryptography, medical imagining, artificial intelligence, and many others. Future developments, from sustainable energy production to autonomous vehicles, to quantum computers, require further mathematical innovation and application of existing mathematics. IPAM's overall goal is to foster the interaction of mathematicians with doctors, engineers, physical scientists, social scientists, and humanists to enable such future technological and social progress. IPAM fulfills its mission through workshops and long programs that connect mathematics and other disciplines or multiple areas of mathematics. These activities bring in thousands of visitors annually from academia, government, and industry, at all career stages. IPAM also has programs that encourage the inclusion of women and members of minorities underrepresented in the mathematics community, that serve specific needs of government agencies, and that inform the public about the excitement of modern mathematics and the important contributions that have come to society through mathematics. Student-focused programs highlight the value of mathematics degree and the many career paths available to mathematics majors. Through these activities, IPAM serves the national interest. IPAM promotes the progress of science by stimulating the mathematical developments that are needed for this progress; advances the national health, prosperity, and welfare through programs that address current scientific and societal challenges.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.
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会议论文
Free Information Theory Techniques in von Neumann Algebras
  • 批准号:
    2348633
  • 项目类别:
    Standard Grant
  • 资助金额:
    $42.1万
  • 财政年份:
    2024
  • 负责人:
    Dimitri Shlyakhtenko
  • 依托单位:
Free Probability, Transport, and Applications
  • 批准号:
    2054450
  • 项目类别:
    Standard Grant
  • 资助金额:
    $36.0万
  • 财政年份:
    2021
  • 负责人:
    Dimitri Shlyakhtenko
  • 依托单位:
Free Probability and Cohomology in von Neumann Algebra Theory.
  • 批准号:
    1762360
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $27.0万
  • 财政年份:
    2018
  • 负责人:
    Dimitri Shlyakhtenko
  • 依托单位:
IRES Track 1 Graduate Research In Industrial Projects for Students - Berlin
  • 批准号:
    1826810
  • 项目类别:
    Standard Grant
  • 资助金额:
    $23.32万
  • 财政年份:
    2018
  • 负责人:
    Dimitri Shlyakhtenko
  • 依托单位:
国内基金
海外基金
基于SURE/PURE准则的图像盲反卷积算法研究
  • 批准号:
    61401013
  • 项目类别:
    青年科学基金项目
  • 资助金额:
    29.0万元
  • 批准年份:
    2014
  • 负责人:
    薛峰
  • 依托单位: