My fields of research are Symplectic Topology and Hamiltonian Dynamics.
More specifically, I am interested in the following:
Hamiltonian dynamics. For instance, the interplay between the topology of a symplectic manifold and the symplectic/Hamiltonian actions it admits, and how the existence of such group actions relates to the presence of holomorphic curves. Also, I am interested in finding sufficient conditions for the existence of infinitely many periodic orbits of Hamiltonian systems.
C^0- symplectic topology. In particular, questions related to the flux conjectures and to the Arnold conjecture. I am also interested in the relationship between the C^0-topology and different topologies in the group of Hamiltonian diffeomorphisms.