Mathematical Sciences: Conformal uniformization and circle packing immersions.

研究内容包括平面域的几何和分析以及复变函数理论中的保形映射。 将探讨共形映射和圆填充浸入之间的关系。 该研究可能应用于复杂动力系统和分形。由于圆布局问题涉及构形系统的几何结构，因此本研究也可能应用于制造业和材料研究。施拉姆在该机构的存在将有利于居民小组和他们的研究生目前的活动。 ***

The research covers topics in the geometry and analysis of planar domains and conformal mappings in complex function theory. The relationship between conformal mappings and circle packing immersions will be pursued. The research has possible applications to complex dynamical systems and fractals. Since the the circle packing problems involve the geometry of configurative systems, the research may also have possible applications to the initiatives of manufacturing and materials research. Schramm's presence at the institution will benefit the current activities of the resident group and their graduate students. ***