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NSF Young Investigator

NSF Young Investigator
NSF 青年研究员
批准号:
9457859
负责人:
Victor Nistor
金额:
$27.5万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1994
资助国家:
美国
项目状态:
已结题
起止时间:
1994-08-01 至 2000-07-31
关键词:

项目摘要

项目成果

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中文摘要
翻译
小行星9457859 这项研究得到了美国国家科学基金会青年研究者奖的支持,将涉及“非对易”几何的研究。这个非常活跃的领域是一个将通常的空间微分几何主题扩展到量子力学和其他相关现象的典型“非对易”设置的程序。工作围绕新的字符和索引不变量以前开创了尼斯托。 国家科学基金会青年研究者奖表彰杰出的青年教师。该奖项旨在表彰获奖者作为研究数学家持续专业发展的强大潜力,以及作为教师和学术领导者的重大发展。 ***
英文摘要
9457859 Nistor This research, supported by a National Science Foundation Young Investigator award, will involve research in "non- commutative" geometry. This very active field is a program to extend the subject of the usual differential geometry of space to "non-commutative" settings that are typical of quantum mechanics and other related phenomena. The work centers around new character and index invariants previously pioneered by Nistor. The National Science Foundation Young Investigator award recognizes outstanding young faculty. The award recognizes the recipient's strong potential for continued professional growth as a research mathematician and for significant development as a teacher and academic leader. ***
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会议论文
Numerical treatment of singularities and the Generalized Finite Element Method: theory, algorithms, and applications
Research Experience in Numerical Methods for Partial Differential Equations with Singularities
Applications of Operator Algebras and Index Theory to Analysis on Singular Spaces
Global Methods in the Analysis on Singular Spaces and Partial Differential Equations
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