Institute for Computational and Experimental Research in Mathematics
Institute for Computational and Experimental Research in Mathematics
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
中文摘要
数学计算与实验研究所(ICERM)是一个国家机构,其使命是支持和促进数学科学的基础研究,重点关注数学与计算机之间富有成效的相互作用,通过计算和实验来探索和发展。ICERM召集了来自学术界和工业界的顶尖科学家,以及学生和早期职业研究人员,参与产生新数学并加速新数学产生的工具和技术发展的项目。该研究所特别注重培养下一代具有计算能力的数学家,并为他们进入各种科学职业做好准备。ICERM优先考虑增加数学领域代表性不足群体成员的参与。为了支持这些目标,ICERM提供了一个复杂的研究基础设施,以及访问高性能计算和当前的软件资源。ICERM计划通过扩展数学中计算和实验方法的使用,通过支持与计算相关的理论进步,以及通过数学工具,研究和创新解决计算机使用带来的问题,支持和扩大数学与计算之间的关系。历史上,实验一直是数学基础研究进步的推动力。通过实验,新技术为研究和发现提供了新的机会;ICERM项目旨在识别和开发这样的机会。数学与越来越广泛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计划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、事件和项目资源,这些活动、事件和项目具有很强的计算/实验成分,旨在促进新数学和新数学方法的发展。该研究所与相关的国际会议一起开展专题研究项目,为博士后研究员和研究生在学期项目期间提供支持,主持以团队为基础的研究项目,培训研究生和本科生使用实验方法和计算机辅助工具,并举办各种独立研讨会,外展活动和特别活动。
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)
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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
A Large-Scale Evaluation Of Shape-Aware Neighborhood Weights And Neighborhood Sizes
形状感知邻域权重和邻域大小的大规模评估
DOI:
10.1016/j.cad.2021.103107
发表时间:
2021
期刊:
Computer-Aided Design
影响因子:
4.3
作者:
[Skrodzki, Martin, Zimmermann, Eric]
通讯作者:
Zimmermann, Eric
共 24 条
Conference: Arithmetic, Birational Geometry, and Moduli
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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:
Descent, rational points, and the geometry of moduli spaces
-
批准号:1401764
-
项目类别:Continuing Grant
-
资助金额:$34.2万
-
财政年份:2014
-
负责人:Brendan Hassett
-
依托单位:
FRG: Collaborative Research: Arithmetic and geometry of rational curves on K3 surfaces
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批准号:0968349
-
项目类别:Continuing Grant
-
资助金额:$25.0万
-
财政年份:2010
-
负责人:Brendan Hassett
-
依托单位:
Institute for Computational and Experimental Research in Mathematics
-
批准号:0931908
-
项目类别:Continuing Grant
-
资助金额:$1549.54万
-
财政年份:2010
-
负责人:Brendan Hassett
-
依托单位:
Birational geometry, symplectic varieties, and moduli spaces
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批准号:0901645
-
项目类别:Continuing Grant
-
资助金额:$42.8万
-
财政年份:2009
-
负责人:Brendan Hassett
-
依托单位:
Collaborative Research: FRG: Geometry of moduli spaces of rational curves with applications to Diophantine problems over function fields
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批准号:0554491
-
项目类别:Standard Grant
-
资助金额:$21.47万
-
财政年份:2006
-
负责人:Brendan Hassett
-
依托单位:
CAREER: Algebraic Geometry of Moduli Spaces
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批准号:0134259
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项目类别:Standard Grant
-
资助金额:$0.0万
-
财政年份:2002
-
负责人:Brendan Hassett
-
依托单位:
Rational Points on Algebraic Varieties and Geometry of Curves and Surfaces
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批准号:0196187
-
项目类别:Continuing Grant
-
资助金额:$6.4万
-
财政年份:2000
-
负责人:Brendan Hassett
-
依托单位:
Rational Points on Algebraic Varieties and Geometry of Curves and Surfaces
-
批准号:0070537
-
项目类别:Continuing Grant
-
资助金额:$6.4万
-
财政年份:2000
-
负责人:Brendan Hassett
-
依托单位:
Mathematical Sciences Postdoctoral Research Fellowships
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批准号:9705879
-
项目类别:Fellowship Award
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资助金额:$7.5万
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财政年份:1997
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负责人:Brendan Hassett
-
依托单位:
国内基金
海外基金
Computational Methods for Analyzing Toponome Data
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批准号:60601030
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项目类别:青年科学基金项目
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资助金额:17.0万元
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批准年份:2006
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负责人:Axel Mosig
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依托单位: