My interest is broadly in functional analysis and infinite-dimensional dynamical systems. Currently I study well-posedness and dynamics of various classes of abstract delay equations via dual semigroup theory. See my publications.
My motivation comes from within mathematics as well as from problems in mathematical biology and, more recently, in control theory and optimization.
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 have expertise and would like to cooperate, consider letting me know.