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I study complex systems formed by many interacting units using techniques from Nonlinear Dynamics. My main area of research is the analysis of dynamical processes on complex networks, such as synchronization of coupled oscillators and propagation of excitation cascades. The goal of this research is to uncover the interplay between the structure of the network and the dynamics of these processes. I also work on understanding how the heart can develop abnormal rhythms by constructing mathematical models of heart cell dynamics and analyzing their behavior.