Mainly, I am interested in Modular Representation Theory, and spaces with a $G$-action.

Especially modules arising from $G$-actions on spaces, their restrictions to

subalgebras of $k[G]$ and their interaction with the fixed point sets of the subgroups of

the group acting on the space their cohomology via localization theorems in cohomology

are among my main intrests.

Besides, the support variety of a module is a favorite topic for me.

Many of the rings coming out of groups such as the group ring, cohomology ring,

representation ring, character ring, Burnside ring together with their interactions

are sources of excitment for me.

I also work on $p$-power points and modules of $p$-power Jordan type that

I introduced as a generalization of $p$-points of Friedlander-Suslin-Carlson-Pevtsova,

for finite abelian $p$-groups. In my most recent paper I have given a nice filtration

of modules of constant Jordan type.