Research Interests

My research interests are Partial Differential Equations and Geometric Analysis. I have worked on uniqueness properties for elliptic partial differential equations and their applications. I  also had interests in nonlinear elliptic PDEs, like Harmonic maps between Riemannian manifolds, as well as their associated flows, and other geometric problems like Yamabe type equations or the Q-curvateure problem on 4-manifolds. Recently I studied some geometric problems on graphs. Currently I am working on questions related to Ricci flows on compact manifolds