My research is on Differential Geometry and Geometric Analysis. I am particularly interested in geometric flows, especially the Ricci flow. Currently, I am working on how the Ricci flow can be used to smooth out certain classes of singular spaces. This has also led me to think about self-similar solutions of Ricci flow (solitons) and their geometry at infinity. I am also interested in the (in)stability of these special solutions, as well as stability questions for Einstein metrics.