Current research:

Statistical mechanics of/on complex networks, modeling of complex systems, socio- and econophysics, Naming Game, Monte Carlo simulations, Ising model, tumor growth modeling, glassy dynamics...

Not so long ago:

 Nonequilibrium statistical mechanics (glasses, granular systems, hard disks,...)

Modelling and computer  simulations of biological evolution (mass extinctions, oscillations in prey-predator systems, origin of life,... )

Monte Carlo simulations and optimization in travelling salesman problem

Nonequilibrium phase transitions and synchronization of extended dynamical systems