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RTG: Algebra, Algebraic Geometry, and Number Theory

RTG: Algebra, Algebraic Geometry, and Number Theory
RTG:代数、代数几何和数论
批准号:
1344994
负责人:
Dino Lorenzini
金额:
$200.0万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
2014
资助国家:
美国
项目状态:
已结题
起止时间:
2014-05-01 至 2022-04-30

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中文摘要
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英文摘要
This award supports a research training group at the University of Georgia in the areas of Algebra, Algebraic Geometry, and Number Theory. Many aspects of the program that have been planned by the University of Georgia Algebra and Number Theory research group will be suitable for and open to all undergraduate and graduate students in the department. Thus these activities will have a broad impact on the life of the department. The training proposed will run year-round. Keeping the undergraduate, graduate students, and postdocs engaged continuously will help with retention, shorten the time to degree, and boost productivity.The Algebra, Algebraic Geometry, and Number Theory group at the University of Georgia proposes a comprehensive program designed to recruit, engage, and train students and postdoctoral associates, and to prepare them for successful careers in the mathematical sciences. The First Year Undergraduate Seminars will draw UGA students into careers in the mathematical sciences. The Graduate Student Boot Camp will ensure success for graduate students in the program. Vertical Research Training Groups (VRTG) will give students and postdocs the chance to engage early in collaborative research projects. The computational VRTG will provide online tools for computations in the three research fields. The Oberseminar will act as educational training tool for graduate students, catalyst for intra-area discussion, and community builder for the group.
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会议论文
Critical groups of graphs and generalizations
Abelian varieties and Neron models
Diophantine Equations and Algebraic Points on Curves
Bad Reduction of Curves and Abelian Varieties
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