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: University of Cambridge
• 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
• 起止时间: 2014 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FK032208%2F1
• 关键词: Isaac; Newton; Institute; Mathematical; Sciences

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.

数学，具有概括性和抽象推理的能力，是一门独特的学科，能够深入渗透到其他学科，为建立研究社区之间的沟通渠道提供共同语言，并在其影响力的长寿。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一座旨在激发研究和促进合作的建筑中与世界顶级科学家会面和合作。拥有最先进的多媒体环境，可进行视频录制、网络广播和视频会议;可使用剑桥各地的图书馆;有机会与附近研究所的更广泛社区互动;以及经验丰富的工作人员为组织者和参与者提供强有力的支持，INI的基础设施使参与者能够专注于他们的科学。计划是一个，每一次为期四到六个月，有25到30名研究人员。自1992年成立以来，他们吸引了22位菲尔兹奖得主，7位诺贝尔奖得主，18位沃尔夫奖得主和7位阿贝尔奖得主。在国家土著研究所建立的合作往往在很长一段时间内取得成果;这些合作得到了为期一周的早期方案后续会议的进一步鼓励。除了定期的研讨会，课程还包括密集的教学课程和100或更多的研讨会，通常在英国剑桥以外举行。从一开始INI的理解是什么组成的数学科学是广泛的和包容性的，这种广度的视野持久。在INI产生的突破性成果包括：发现无处不在的安全协议中的一个主要漏洞;理解RNA病毒组装的范式转变;从爱因斯坦方程和纳维尔-斯托克斯方程之间的联系中瞥见早期宇宙;以及一种广泛应用于整个欧洲航运的预测“怪胎”的工作算法，waves.INI将推出图灵数学网关，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普遍但难以捉摸的影响。科学指导委员会（SSC）是严格的同行审查过程的核心，以确保每个方案都具有最高质量。SSC根据所提出的研究质量评估提案;其新奇和及时性;它提供的机会，将数学和/或应用领域的不同分支汇集在一起;英国社区的需求和价值;以及INI特殊环境可能产生的潜在影响。南南合作还考虑到世界各地其他研究所的活动。通过旨在支持创新的多学科提案的发展的范围界定会议，并通过诸如嵌入研讨会的“开放商业”会议等举措，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着核心作用。INI致力于支持在数学科学领域工作的早期职业研究人员，学生和妇女。INI通过非公共资金资助的活动，创造机会鼓励公众参与。最近，它参加了剑桥科学节和其他备受瞩目的项目，包括在皇家学会和科学博物馆举办的展览"交叉点：亨利摩尔和弦面“（2012年4月4日至6月20日），并支持格伦维尔戴维（1992年特纳奖）作为INI驻场艺术家（2012年1月至6月）。

项目成果

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

An Economic Analysis of Privacy Protection and Statistical Accuracy as Social Choices

• 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

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

40221780.pdf

40221780.pdf

• DOI: 10.7916/6gjf-jx65
• 发表时间: 2022
• 作者: :unav