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 and about A-equivariant cobordism of manifolds, where A is a finite abelian group.
My current collaborators include Bert Guillou, David Mehrle, Sarah Petersen, Lucas Williams, and Alba Sendón Blanco.