Publication 1: Brane Tilings and Non-Commutative Geometry (URL) Publication 2: (URL) Publication 3: (URL) URL of Research: http://www.physics.ucsb.edu/~reager/ResearchStatement.pdf Statement of Interest:
An overarching theme of my research is the computation of D-brane superpotentials. This involves the computation of the A-infinity structure of the derived category of coherent sheaves or matrix factorizations of a Calabi-Yau singularity. Once the D-brane superpotential corresponding to a Calabi-Yau singularity is known, many interesting checks of the AdS/CFT correspondence can be made. List of Research Interests: ------------------ D-brane superpotentials Quiver Gauge theories and AdS/CFT Matrix Factorizations Donaldson-Thomas Invariants Liouville theory and N=2 SCFTs