I think a lot about representation theory of families of finite groups and sometimes also about the topology of covers of configuration space. This means I think a lot about homological and representation stability and the interplay between them. This usually means understanding representation theory for the symmetric groups and the representation theory for a certain extension Z_n of the symmetric group which arises from the study of the level 4 braid group. My current project goal is to try to prove representation stability of the level 4 braid group using different homological stability results.