My interest is in functional analytic methods for dynamical systems. At the moment I investigate well-posedness and dynamics of various classes of delay equations via dual semigroup theory. Currently I am motivated by rigorous analysis of problems from mathematical biology, control theory and approximation.
Delay equations is also the eponym of a domain that I have registered for the plan of creating a cooperative wiki about aspects of theory and examples of delay equations. If you would like to cooperate, let me know.