Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance
Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance
批准号:
1502336
负责人:
Paul Pollack
金额:
$1.97万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2015
资助国家:
美国
项目状态:
已结题
起止时间:
2015-06-01 至 2016-05-31
中文摘要
“初等、解析和算法数论:受卡尔·波美兰斯数学启发的研究”会议将于2015年6月9日至11日在乔治亚州雅典的佐治亚大学举行。这次会议的重点是数论的三个子领域:初等数论(研究自然数的基本性质)、解析数论(从统计角度研究这些问题)和算法数论(研究计算机如何帮助回答数论问题)。这三个数学领域是高度相互关联的,一个领域的成果往往源于另一个领域的进步。虽然具有基本的理论重要性,但这些领域的思想也在纯数学之外找到了许多应用,数字安全就是一个突出的例子。会议将举行6个小时的全体会议,并邀请这些领域的专家进行14次30分钟的演讲。会谈将突出这些领域的研究现状,并提请注意中心开放问题。6月8日,也就是会议开始的前一天,主办方将举办青年研究人员特别会谈日。这里的目标是为崭露头角的数学家提供能见度,并鼓励思想交流——纵向(在学生、初级教师和世界级研究人员之间)和横向(在不同数论领域的研究人员之间)。欲了解更多信息,请参阅会议网站:http://www.math.uga.edu/~cp70/CP70/Home.html
英文摘要
The conference "Elementary, analytic, and algorithmic number theory: Research inspired by the mathematics of Carl Pomerance" will be held June 9-11, 2015 at the University of Georgia in Athens, GA. The focus of this meeting is on three subfields of number theory: elementary number theory (which studies the basic properties of the natural numbers), analytic number theory (which takes a statistical perspective on these questions), and algorithmic number theory (which investigates how computers can be of assistance in answering number-theoretic questions). These three areas of mathematics are highly interconnected, with results in one area often stemming from progress in the other. While of fundamental theoretical importance, ideas from these fields have also found numerous applications outside of pure mathematics, digital security being a prominent example.The conference will feature six hour-long plenary talks and fourteen invited 30-minute talks by experts in these fields. The talks will highlight the current state of research in these fields and draw attention to the central open problems. On June 8, the day prior the start of the main conference activities, the organizers will host a special day of talks by young researchers. The goal here is to give visibility to up and coming mathematicians and to encourage interchange of ideas - both vertically (among students, junior faculty, and world-class researchers) and horizontally (among researchers in different fields of number theory).For more information see the conference web-site: http://www.math.uga.edu/~cp70/CP70/Home.html
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Statistical Questions in Number Theory and Arithmetic Geometry
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批准号:2001581
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项目类别:Standard Grant
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资助金额:$16.8万
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财政年份:2020
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负责人:Paul Pollack
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依托单位:
Statistical problems in elementary, analytic, and algebraic number theory
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批准号:1402268
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项目类别:Standard Grant
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资助金额:$13.03万
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财政年份:2014
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负责人:Paul Pollack
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依托单位:
PostDoctoral Research Fellowship
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批准号:0802970
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项目类别:Fellowship
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资助金额:$0.0万
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财政年份:2008
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负责人:Paul Pollack
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依托单位:
海外基金