Mathematical Sciences: NSF Young Investigator

这项研究得到了美国国家科学基金会的支持， 青年研究者奖，专注于发展 退化伪微分算子，特别适用于 退化椭圆和抛物问题的分析 几何 具体应用包括霍奇理论和指数 非紧奇异空间理论，极小分析 奇异曲面，奇异Yamabe分析 问题. 美国国家科学基金会青年研究者奖 表彰杰出的年轻教师。 该奖项旨在表彰 接受者的持续专业发展的强大潜力， 作为一名研究数学家， 教师和学术领袖。

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.