Mathematical Sciences: Symplectic and Complex Geometry

小行星9504898 拟议的研究在于辛几何领域。本研究使用非线性偏微分方程和复杂几何的技术来解决辛几何中的某些问题。特别是，拉格朗日极小曲面和量子上同调群的几个问题要考虑。 辛几何为经典力学和量子力学中的许多问题提供了数学背景。拉格朗日极小曲面是辛几何中的极值对象，它的存在性是一个基本问题，在物理学中有许多可能的应用。

9504898 Wolfson The proposed research lies in the area of symplectic geometry. This investigator uses techniques from nonlinear PDEs and complex geometry to tackle certain problems in symplectic geometry. In particular, several problems concerning Lagrangian minimal surfaces and the quantum cohomology group are to be considered. Symplectic geometry provides a mathematical setting for many problems in classical mechanics as well as quantum mechanics. The existence of Lagrangian minimal surfaces, which are extremal objects in symplectic geometry, is a fundamental problem with many possible applications to physics.