Publication 1: The signature of the Seiberg-Witten surface (URL) Publication 2: The eigenvalue equation on the Eguchi-Hanson space (URL) Publication 3: Expressions for the generating function of the Donaldson invariants for $CP^2$. (URL) URL of Research: http://www.math.ucsb.edu/~malmendier/simonswork/research.pdf Statement of Interest:
My research interests center around N=2 supersymmetric SU(2)-Yang-Mills theories containing matter fields on four-dimensional manifolds. I am interested in what kind of topological instanton invariants their partitions functions describe. I am also working on an interpretation of their partition functions as the semi-classical partition function of heterotic sigma-models.