Mathematical Sciences: NSF Young Investigator

这项研究得到了国家科学基金会青年研究人员奖的支持，致力于开发专门用于分析几何中退化的椭圆和抛物型问题的退化伪微分算子。具体的应用包括关于非紧空间和奇异空间的Hodge理论和指标理论，具有奇点的极小曲面的分析，以及奇异Yamabe问题的分析。国家科学基金会青年研究人员奖表彰杰出的年轻教职员工。这一奖项认可了获奖者作为一名研究数学家在继续专业发展方面的巨大潜力，以及作为教师和学术领袖的显著发展潜力。

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.