|Office Location:||021 Physics|
|Thesis Title:||Mass Estimates, Conformal Techniques, and Singularities in General Relativity|
|MA, Mathematics||Duke University||2006|
|BS, Mathematics and Physics||Harvey Mudd College||2005|
My research to date uses geometric analysis to answer questions motivated by general relativity, for instance utilizing conformal techniques to deduce bounds for the ADM mass of asymptotically flat manifolds of nonnegative scalar curvature that contain singularities. Some of the important tools have come from geometric measure theory. I also have an interest in geometric flows, including Ricci flow and conformal flows.