Mathematical Sciences: NSF Young Investigator

数学科学：NSF 青年研究员

• 批准号: 9258274
• 负责人: Rafe Mazzeo
• 金额: $ 21.27万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-08-15 至 1998-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9258274&HistoricalAwards=false
• 关键词: Mathematical; Sciences; NSF; Young; Investigator

This research, supported by a National Science Foundation Young Investigator award, focuses on the development of degenerate pseudodifferential operators specially adapted for the analysis of degenerate elliptic and parabolic problems in geometry. Specific applications include Hodge theory and index theory on noncompact and singular spaces, analysis of minimal surfaces with singularities, and analysis of the singular Yamabe problem. The National Science Foundation Young Investigator award recognizes outstanding young faculty. This 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.

这项研究得到了国家科学基金会年轻研究者奖的支持，重点是发展伪造的操作员的发展，专门针对分析归化的椭圆形和抛物线的几何形状问题。 特定的应用包括有关非划界和奇异空间的霍奇理论和索引理论，对具有奇异性的最小表面的分析以及分析奇异山比问题。 国家科学基金会年轻研究者奖旨在表彰杰出的年轻教师。 该奖项认可了接受者作为研究数学家持续专业增长的强大潜力，并且是教师和学术领导者的重大发展。