Mathematical Sciences: Conformal uniformization and circle packing immersions.

研究内容包括复变函数论中平面区域和共形映射的几何和分析。我们将探讨保角映射与圆填充浸入之间的关系。这项研究可能应用于复杂的动力系统和分形学。由于圆布局问题涉及到构型系统的几何问题，因此该研究也可能在制造和材料研究中得到应用。Schramm在该机构的存在将使常驻团体及其研究生目前的活动受益。***

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. ***