课题基金 / 基金详情

Mathematical Sciences: Arithmetic Algebraic Geometry

Mathematical Sciences: Arithmetic Algebraic Geometry
数学科学:算术代数几何
批准号:
9302976
负责人:
William McCallum
金额:
$12.44万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1993
资助国家:
美国
项目状态:
已结题
起止时间:
1993-07-01 至 1996-12-31

项目摘要

项目成果

William McCallum的其他基金

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中文摘要
翻译
该基金支持W. McCallum和D. Ulmer 学习算术几何麦卡勒姆教授将研究 费马曲线的下降乌尔默教授将研究p-adic 模形式系数的赋值以及 椭圆曲线的岩泽理论。 这个项目福尔斯属于算术的一般范畴 几何学-一个融合了两个最古老的领域的主题, 数学:数论和几何。 这种组合有 被证明是非常富有成效的-最近解决了一些问题 经受住了几代人的考验 在其众多后果中, 纠错码 这些准则对现代和 计算机(硬盘)和光盘。
英文摘要
This grant supports the research of W. McCallum and D. Ulmer to work in arithmetic geometry. Professor McCallum will study descent on Fermat's curve. Professor Ulmer will study the p-adic valuations of coefficients of modular forms as well as the Iwasawa theory for elliptic curves. This project falls into the general area of arithmetic geometry -a subject that blends two of the oldest areas of mathematics: number theory and geometry. This combination has proved extraordinarily fruitful - having recently solved problems that withstood generations. Among its many consequences are new error correcting codes. Such codes are essential for both modern computers (hard disks) and compact disks.
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Summer School on Iwasawa Theory
  • 批准号:
    0646805
  • 项目类别:
    Standard Grant
  • 资助金额:
    $2.0万
  • 财政年份:
    2007
  • 负责人:
    William McCallum
  • 依托单位:
Making Connections: Joint Analysis of School Mathematics Problems. A national model for collaboration between Mathematicians, Teachers, and Mathematics Education Researchers
  • 批准号:
    0525009
  • 项目类别:
    Standard Grant
  • 资助金额:
    $30.5万
  • 财政年份:
    2005
  • 负责人:
    William McCallum
  • 依托单位:
The Mathematics of Decision Making: A Model for Collaboration Between Mathematics and Other Fields
  • 批准号:
    9972350
  • 项目类别:
    Standard Grant
  • 资助金额:
    $49.58万
  • 财政年份:
    1999
  • 负责人:
    William McCallum
  • 依托单位:
Vertical Integration of Research and Education in the Mathematical Sciences at the University of Arizona
  • 批准号:
    9977116
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $228.83万
  • 财政年份:
    1999
  • 负责人:
    William McCallum
  • 依托单位:
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences