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Isaac Newton Institute for Mathematical Sciences

Isaac Newton Institute for Mathematical Sciences
艾萨克·牛顿数学科学研究所
批准号:
EP/K032208/1
负责人:
John Toland
金额:
$759.07万
依托单位:
依托单位国家:
英国
项目类别:
Research Grant
财政年份:
2014
资助国家:
英国
项目状态:
已结题
起止时间:
2014 至 --

项目摘要

项目成果

John Toland的其他基金

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中文摘要
翻译
数学具有普遍性和抽象推理的能力,其独特之处在于它能够深入其他学科,为建立研究界之间的交流渠道提供共同语言,并具有持久的影响力。艾萨克·牛顿数学科学研究所(INI)是一个访客研究中心,使英国研究人员能够在旨在激励研究和催化合作的建筑中与世界顶尖科学家见面和合作。INI的基础设施拥有最先进的多媒体环境,可用于录像、网络广播和视频会议;可进入剑桥各地的图书馆;有机会与附近学院的更广泛社区互动;有经验的工作人员为组织者和参与者提供强有力的支持,使参与者能够专注于他们的科学。每个项目为期一、四或六个月,有25至30名研究人员。自1992年该研究所成立以来,他们已经吸引了22名菲尔兹奖牌获得者,7名诺贝尔奖获得者,18名沃尔夫奖获得者和7名阿贝尔奖获得者。研究所建立的合作往往会在很长一段时间内取得成果;早期方案的一周后续会议进一步鼓励了这种合作。除了定期研讨会,课程还包括密集的教学课程和100人或更多人的研讨会,通常在英国剑桥以外的地方举行。从一开始,INI对数学科学的理解是广泛和包容的,这种视野的广度是持久的。INI取得的开创性成果包括:发现了无处不在的安全协议中的一个主要漏洞;在理解RNA病毒组装方面的范式转变;对早期宇宙的一瞥,这些宇宙源于爱因斯坦方程和纳维尔-斯托克斯方程之间的联系;以及一种在整个欧洲航运中被广泛使用的工作算法。INI将推出图灵数学门户,通过它将传播数学观点,并试图捕捉和表现数学对高科技和日常生活的所有无处不在但难以捉摸的影响。科学指导委员会(SSC)处于严格的同行审查过程的核心,以确保每个程序都是最高质量的。SSC根据建议研究的质量;其新颖性和及时性;它提供的将不同数学分支和/或应用领域结合在一起的机会;英国社区的需求和价值;以及INI的特殊环境可能产生的潜在影响来评估建议。SSC还考虑到世界各地其他研究所的活动。通过为支持创新的多学科提案而设计的会议范围确定范围,以及通过讲习班中的“面向企业开放”会议等活动,INI在其他学科、商业和工业中传播和传播尖端数学方面发挥了核心作用。INI致力于支持从事数学科学工作的早期职业研究人员、学生和女性。INI培养机会,通过非公共资金资助的活动鼓励公众参与。最近,它还参加了剑桥科学节和其他知名项目,包括在皇家学会和科学博物馆举办的展览《交叉点:亨利·摩尔和弦曲面》(2012年4月4日至6月20日),以及支持格伦维尔·戴维(1992年特纳奖)作为INI驻场艺术家(2012年1月至6月)。
英文摘要
Mathematics, with its capacity for generality and abstract reasoning, is a subject that is unique in its ability to penetrate deep within other disciplines, to provide a common language for establishing communication channels between research communities, and in the longevity of its influence. The Isaac Newton Institute for Mathematical Sciences (INI) is a visitor research centre which enables UK researchers to meet and collaborate and with top scientists in the world in a building that was designed to inspire research and catalyse collaboration. With a state of the art multi-media environment for video recording, webcasting and videoconferencing; access to libraries across Cambridge; the opportunity to interact with the wider community in nearby Institutes; and an experienced staff to provide powerful support to organisers and participants, the INI infrastructure enables participants to concentrate on their science.Programmes are of one, four or six months duration each with between 25 and 30 researchers. They have attracted 22 Fields Medallists, and 7 Nobel, 18 Wolf and 7 Abel Prize winners since the Institute was founded in 1992. Collaborations established at INI often bear fruit over a long period; these are further encouraged by one-week Follow-up Meetings to earlier programmes. In addition to regular seminars, programmes include intense periods of instructional courses and workshops for 100 or more, often held in the UK outside Cambridge. From the outset INI's understanding of what comprises the mathematical sciences was broad and inclusive and this breadth of vision endures. Ground-breaking results produced at INI include: uncovering a major vulnerability in ubiquitous security protocols; a paradigm shift in understanding RNA virus assembly; a glimpse of the early universe arising from the connection between the Einstein and Navier-Stokes equations; and a working algorithm that is widely used in shipping throughout Europe for predicting "freak" waves.INI will launch the Turing Gateway to Mathematics through which it will disseminate the mathematical point of view, and try to capture and represent the all pervasive but elusive impact which mathematics has on high technology and on everyday lives.The Scientific Steering Committee (SSC) is at the heart of a rigorous peer review process to ensure that every programme is of the highest quality. The SSC evaluates proposals in the light of the quality of the research proposed; its novelty and timeliness; the opportunities it offers to bring different branches of mathematics and/or application areas together; demand from and value to the UK community; and the potential impact which the special environment of INI can engender. The SSC also takes account of activities at other Institutes worldwide. Through Scoping Meetings devised to support the development of innovative multidisciplinary proposals, and through initiatives such as the "Open for Business" meetings embedded within workshops, INI plays a central role in the propagation and dissemination of cutting edge mathematics in other disciplines, business and industry. INI is committed to supporting early career researchers, students and women working in the mathematical sciences. INI cultivates opportunities to encourage public engagement through activities not funded by the public purse. Most recently it has participated in the Cambridge Science Festival and other high profile projects including the exhibition Intersections: Henry Moore and Stringed Surfaces held at the Royal Society and the Science Museum (4th April-20th June 2012) and support for Grenville Davey (Turner Prize 1992) as INI Artist in Residence (January-June 2012).It fundraises assiduously to support its activities.
期刊论文(10)
专著(0)
科研奖励(0)
会议论文
Realizing the Braided Temperley-Lieb-Jones C*-Tensor Categories as Hilbert C*-Modules
将编织 Temperley-Lieb-Jones C*-张量范畴实现为 Hilbert C*-模
DOI: 10.1007/s00220-020-03729-w
发表时间: 2020
期刊: Communications in Mathematical Physics
影响因子: 2.4
作者: [Aaserud A]
通讯作者: Aaserud A
DOI: 10.1257/aer.20170627
发表时间: 2019-01-01
期刊: AMERICAN ECONOMIC REVIEW
影响因子: 10.7
作者: [Abowd, John M., Schmutte, Ian M.]
通讯作者: Schmutte, Ian M.
High-contrast approximation for penetrable wedge diffraction
可穿透楔形衍射的高对比度近似
DOI: 10.1093/imamat/hxaa011
发表时间: 2020
期刊: IMA Journal of Applied Mathematics
影响因子: 1.2
作者: [Abrahams I]
通讯作者: Abrahams I
K-theory of AF-algebras from braided C*-tensor categories
编织 C* 张量范畴的 AF 代数的 K 理论
DOI: 10.1142/s0129055x20300058
发表时间: 2020
期刊: Reviews in Mathematical Physics
影响因子: 1.8
作者: [Aaserud A]
通讯作者: Aaserud A
共 7 条
    Isaac Newton Institute for Mathematical Sciences - Cross Council Science
    • 批准号:
      EP/I016392/1
    • 项目类别:
      Research Grant
    • 资助金额:
      $56.48万
    • 财政年份:
      2011
    • 负责人:
      John Toland
    • 依托单位:
    Isaac Newton Institute for Mathematical Sciences
    • 批准号:
      EP/F005431/1
    • 项目类别:
      Research Grant
    • 资助金额:
      $1240.28万
    • 财政年份:
      2008
    • 负责人:
      John Toland
    • 依托单位:
    国内基金
    海外基金
    Newton空间上的Toeplitz算子的交换性
    • 批准号:
    • 项目类别:
      省市级项目
    • 资助金额:
      --
    • 批准年份:
      2025
    • 负责人:
      李永宁
    • 依托单位:
    基于Newton法求解耦合代数Riccati方程的数值算法研究
    • 批准号:
      LQ21A010006
    • 项目类别:
      省市级项目
    • 资助金额:
      --
    • 批准年份:
      2020
    • 负责人:
      冯亭亭
    • 依托单位:
    具有Newton型弱力势的多体问题的研究
    • 批准号:
      11671278
    • 项目类别:
      面上项目
    • 资助金额:
      48.0万元
    • 批准年份:
      2016
    • 负责人:
      张世清
    • 依托单位:
    二维Newton-Boussinesq方程解的几种吸引子的存在性研究
    • 批准号:
      11426171
    • 项目类别:
      数学天元基金项目
    • 资助金额:
      3.0万元
    • 批准年份:
      2014
    • 负责人:
      宋雪丽
    • 依托单位: