My interest is broadly in functional analytic methods for infinite-dimensional dynamical systems. Currently I investigate well-posedness and dynamics of various classes of abstract delay equations via dual semigroup theory.
I am motivated by certain problems from mathematical biology and – more recently – from control theory and approximation. Problems from different domains often have an underlying structure in common.
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.