Discrete geometry and extremal combinatorics of hypergraphs

我们使用来自不同数学分支的工具研究了离散几何和极值组合中的一些具体问题。我们得到了“欧几里德空间中的球系”、“超立方体中包含的大正则简单体”、“t相交一族上Erdos-Ko-Rado定理的推广”、“平面框架固定的凸体”等方面的结果。

We studied some concrete problems in discrete geometry and extremal combinatorics using tools coming from different branches of mathematics. We have obtained results on "sphere-systems in Euclidean spaces," "large regular simplices contained in a hypercube," "extension of the Erdos-Ko-Rado theorem on t-intersecting families," "convex bodies fixed by planar frames," and so on.