Mathematical Sciences: Symplectic Manifolds, Minimal Surfaces and Mapping Class Groups

Wolfson这项研究需要研究Kaehler- Einstein流形中的极小曲面。 特别令人感兴趣的是那些稳定类型的第二个变化的能量的地图是正定的。 证明了对于任何相容的复结构，在非全纯的Ricci平坦K3曲面中存在稳定的极小曲面。 这项研究可能有应用到其他领域的数学，如代数几何以及现代数学物理的一些分支。

Wolfson The research entails the study of minimal surfaces in Kaehler- Einstein manifolds. Of particular interest are those of the stable kind where the second variation of the energy of the map is positive definite. It intended to show that there exist stable minimal surfaces in Ricci-flat K3 surafces which are non- holomorphic for any compatible complex structure. This research may have applications to other areas of mathematics such as algebraic geometry as well as to some branches of modern mathematical physics.