Mathematical Sciences: NSF Young Investigator

这项研究得到了美国国家科学基金会青年研究员奖的支持，将应用组合学和凸性的方法来解决计算代数几何中的问题。目标是设计新的代数算法来求解稀疏多元多项式方程。其他项目包括纤维多面体的研究、本征Grobner基理论、环变的硬Lefschetz定理、广义超几何函数和几何不变量理论。国家科学基金会青年研究员奖表彰杰出的青年教师。该奖项旨在表彰获奖者作为一名研究数学家在持续专业发展方面的强大潜力，以及作为一名教师和学术领袖的重大发展。

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.