My research is on Differential Geometry and Geometric Analysis. I am particularly interested in geometric flows, especially the Ricci flow. Currently, I am trying to understand 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.Â
Ricci flow from spaces with edge type conical singularities (2023). Accepted at Communications in Analysis and Geometry. arxiv.org/abs/2305.00344.