In particular, I spend most of my time studying the computational aspects of these areas. Everyone loves a cofiber sequence!
I'm actively thinking about some computational problems in the Klein four-equivariant setting, A-equivariant cobordism of manifolds, where A is a finite abelian group, and invertible Mackey functors for finite groups.
My current collaborators include Sarah Petersen, Lucas Williams, Alba Sendón Blanco, and Jordan Sawdy.