Proposal: DMS 9803616 Principal Investigator: Naichung Conan Leung
The scope of research covers topics in Gromov-Witten theory, Seiberg-Witten equations and almost Hermitian-Einstein equations. The proposed project is to count the number of holomorphic curves on Kahler manifolds with elliptic fibration in terms of modular forms; study the structure of Einstein four manifolds using Seiberg-Witten equations and the geometry of Gieseker stable bundles.
The principal investigator study equations describing different geometric objects and properties of their moduli spaces.
