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