ANTS XIV: Algorithmic Number Theory Symposium 2020
ANTS XIV: Algorithmic Number Theory Symposium 2020
批准号:
1946311
负责人:
John Voight
金额:
$3.48万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2020
资助国家:
美国
项目状态:
已结题
起止时间:
2020-06-01 至 2023-05-31
中文摘要
该奖项为美国大学的早期职业研究人员(研究生,博士后和没有其他NSF支持的终身教职人员)提供资金,以参加2020年6月29日至7月4日在新西兰奥克兰大学举行的第十四届数学数论研讨会(ANTS-XIV)。 ANTS会议自1994年以来每半年举行一次,是计算数论新研究的首要国际论坛。 作为一个既定的会议系列,ANTS吸引了最高质量的邀请和贡献的讲座,并作为一个论坛,在整个研究界传播新的思想和技术,在计算数论和密码学的数论方面。 除了众多的应用理论数学,这些领域有巨大的重要性,通过真实的世界连接到计算机security.The ANTS会议致力于数论的算法方面,包括初等数论,代数数论,解析数论,几何数,算术代数几何,模形式,有限域,和应用数论密码学。 与会者包括数学和计算机科学的学术研究人员,以及从事密码学和其他应用领域工作的工业数学家;同样,所提出的主题包括纯理论和应用主题。 贡献讲座的审查过程和随后生产的诉讼卷提供了文件的质量水平相当于一个国际研究杂志在数学所提出的结果。 该奖项资助美国的研究人员参加这一重要活动。 基金会将优先资助那些贡献论文或海报的人;组织者还寻求积极促进妇女和代表性不足的少数民族的参与。有关会议的更多信息,请访问https://www.math.auckland.ac.nz/~sgal018/ANTS/This奖项反映了NSF的法定使命,并通过使用基金会的知识价值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
This award provides funds for early-career researchers (graduate students, postdocs, and tenure-track faculty not having other NSF support) based at US universities to attend the fourteenth edition of the Algorithmic Number Theory Symposium (ANTS-XIV) held June 29 - July 4, 2020 at the University of Auckland, New Zealand. The ANTS meetings, held biannually since 1994, are the premier international forum for new research in computational number theory. As an established conference series, ANTS attracts invited and contributed lectures of the highest quality, and serves as a forum for dissemination of new ideas and techniques throughout the research community in the area of computational number theory and number-theoretic aspects of cryptography. In addition to numerous applications to theoretical mathematics, these fields have immense importance through real world connections to computer security.The ANTS meetings are devoted to algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, arithmetic algebraic geometry, modular forms, finite fields, and applications of number theory to cryptography. Participants include academic researchers in both mathematics and computer science, as well as mathematicians in industry who work on cryptography and other areas of application; similarly, the topics presented include both pure and applied topics. The review process for contributed lectures and the subsequent production of a proceedings volume provides documentation of the presented results at a quality level comparable to an international research journal in mathematics. This award funds US-based researchers to participate in this premier event. Funding priority will be given to those contributing papers or posters; the organizers also seek to actively promote participation by women and underrepresented minorities.More information about the conference can be found at https://www.math.auckland.ac.nz/~sgal018/ANTS/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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Counting Richelot isogenies between superspecial abelian surfaces
计算超特殊阿贝尔曲面之间的 Richelot 同源性
DOI:
10.2140/obs.2020.4.283
发表时间:
2020
期刊:
Open Book Series
影响因子:
--
作者:
[Katsura, Toshiyuki, Takashima, Katsuyuki]
通讯作者:
Takashima, Katsuyuki
Triangular modular curves of small genus
小亏格的三角模曲线
DOI:
10.1007/s40993-022-00395-w
发表时间:
2023
期刊:
Research in Number Theory
影响因子:
0.8
作者:
[Duque-Rosero, Juanita, Voight, John]
通讯作者:
Voight, John
Rigorous computation of Maass cusp forms of squarefree level
严格计算无平方水平的马斯尖点形式
DOI:
10.1007/s40993-022-00393-y
发表时间:
2022
期刊:
Research in Number Theory
影响因子:
0.8
作者:
[Seymour-Howell, Andrei]
通讯作者:
Seymour-Howell, Andrei
DOI:
10.2140/obs.2020.4.335
发表时间:
2020
期刊:
Open Book Series
影响因子:
--
作者:
[Martin, Daniel E.]
通讯作者:
Martin, Daniel E.
Computing newforms using supersingular isogeny graphs
使用超奇异同源图计算新形式
DOI:
10.1007/s40993-022-00392-z
发表时间:
2022
期刊:
Research in Number Theory
影响因子:
0.8
作者:
[Cowan, Alex]
通讯作者:
Cowan, Alex
共 44 条
Arithmetic, Algebra, and Algorithms
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批准号:1954475
-
项目类别:Standard Grant
-
资助金额:$3.3万
-
财政年份:2020
-
负责人:John Voight
-
依托单位:
Number Theory: From Arithmetic Statistics to Zeta Elements II
-
批准号:1519977
-
项目类别:Standard Grant
-
资助金额:$2.73万
-
财政年份:2015
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负责人:John Voight
-
依托单位:
Number theory: from Arithmetic statistics to Zeta elements, June 5-6, 2014
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批准号:1430032
-
项目类别:Standard Grant
-
资助金额:$5.0万
-
财政年份:2014
-
负责人:John Voight
-
依托单位:
CAREER: Explicit Methods in Arithmetic Geometry
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批准号:1346894
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项目类别:Continuing Grant
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资助金额:$28.22万
-
财政年份:2013
-
负责人:John Voight
-
依托单位:
CAREER: Explicit Methods in Arithmetic Geometry
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批准号:1151047
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项目类别:Continuing Grant
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资助金额:$40.0万
-
财政年份:2012
-
负责人:John Voight
-
依托单位:
Quaternion algebras, Shimura curves, and modular forms: Algorithms and arithmetic
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批准号:0901971
-
项目类别:Standard Grant
-
资助金额:$7.48万
-
财政年份:2009
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负责人:John Voight
-
依托单位:
海外基金