Broadly speaking, I have studied three main areas in the chronological order of my career:
(i) turbulent transport and homogenization
(ii) waves in random media (iii) imaging .
The first two areas deal with the problem of how structures affect physical
processes (transport of stuffs, the direct problem) while (iii) deals with the problem of
how physical processes reveal structures
(transport of information, the inverse problem) .
My current research is focused on (iii) at the moment.