Mathematical Sciences: Meromorphic Functions

Eremenko DMS-9500636 叶列缅科将继续他的研究分布值的亚纯函数和亚纯曲线，使用新的方法潜在的理论，发展在他以前的工作。 他将集中在以下主题：皮卡德定理微分多项式，极值情况下的缺陷关系，和价值分布的全纯曲线的有限阶。 经典函数论引入了几何技术，这些技术已被证明具有比最初想象的更广泛的适用性。 该科目利用强大的分析技术与几何解释之间的相互作用，产生一些分析领域最完整的数学结果。

Eremenko DMS-9500636 Eremenko will continue his study of distribution of values of meromorphic functions and meromorphic curves, using the new methods of potential theory, developed in his previous work. He will concentrate on the following topics: Picard theorems for differential polynomials, extremal cases in the defect relations, and the value distribution for holomorphic curves of finite order. Classical function theory has introduced geometric techniques which have proved to have far wider applicability than first imagined. The subject exploits the interplay between geometric interpretation with powerful analytic techniques to yield some of the most complete mathematical results in the field of analysis.