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，将应用组合学的方法 和凸性来解决计算代数几何问题。 一 目标是设计新的代数算法来解决稀疏 多元多项式方程 其他项目包括 纤维多面体研究，内禀Grobner基理论，硬 复曲面簇的Lefschetz定理，广义超几何 函数和几何不变理论。 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, will apply methods from combinatorics and convexity to problems in computational algebraic geometry. A goal is to design new algebraic algorithms for solving sparse multivariate polynomial equations. Other projects include the study of fiber polytopes, intrinsic Grobner basis theory, hard Lefschetz theorem for toric varieties, generalized hypergeometric functions, and geometric invariant 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.