Mathematical Sciences: NSF Young Investigator

这项研究在国家科学基金会青年研究员奖的支持下，将通过研究度量空间中的马尔可夫链来继续发展类型和余型理论的非线性模拟。这项研究还将利用调和分析和概率论的方法研究实体的逆几何不等式。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, will continue the development of a non- linear analogue of the theory of type and cotype by studying Markov chains in metric spaces. The research will also study the 'reverse' geometric inequalities for solid bodies using methods from harmonic analysis and probability theory. 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.