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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

项目摘要

项目成果

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中文摘要
翻译
该奖项支持佐治亚大学在代数、代数几何和数论领域的研究培训小组。佐治亚大学代数和数论研究小组计划的课程的许多方面将适用于并向该系所有本科生和研究生开放。因此,这些活动将对该部的生活产生广泛影响。拟议的培训将全年进行。保持本科生、研究生和博士后的持续参与将有助于留住学生,缩短获得学位的时间,并提高生产率。佐治亚大学的代数、代数几何和数论小组提出了一个全面的计划,旨在招聘、聘用和培训学生和博士后助理,并为他们在数学科学领域的成功职业生涯做好准备。第一年的本科生研讨会将吸引UGA学生进入数学科学的职业生涯。研究生训练营将确保研究生在该项目中取得成功。垂直研究培训小组(VRTG)将为学生和博士后提供早期参与合作研究项目的机会。计算型VRTG将为这三个研究领域的计算提供在线工具。Ober研讨会将作为研究生的教育培训工具,区域内讨论的催化剂,以及团体的社区建设者。
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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