Expository Work



Research

My research is on various aspects of Riemannian Geometry. Recently Chenxu He, Will Wylie and I completed four papers on Einstein metrics that are also warped product. The papers on the Gromoll-Meyer sphere are not up to date. We are in the process of writing one unified paper that includes both the general principles as well as the actual construction. The revised paper should be more palatable as we hope to make the deformation preserve non-negative sectional curvature. We are also simplifying several of the underlying general principles.

PApers on mathscinet        Preprints on Arxiv