My research focus is in Equivariant Algebra: the theory of those algebraic objects which arise from equivariant (stable) homotopy theory. The algebraic objects of chief importance in this theory are Mackey Functors and Tambara Functors, which are equivariant generalizations of Abelian groups and commutative rings, respectively. I am also interested in incarnations of these objects in motivic homotopy theory & beyond.

Publications

• Norms of Generalized Mackey and Tambara Functors (arXiv)
  Let \(G\) be a finite group. A \(G\)-Tambara functor can be defined as a product-preserving functor \(\mathcal{P}_G \to \mathsf{Set}\) (satisfying one additional condition), where \(\mathcal{P}_G\) is a category that is constructed in a straightforward way from the category of finite \(G\)-sets. By replacing the category of finite \(G\)-sets with other categories, we obtain a more general notion of "Tambara functor". This more general notion subsumes the notion of motivic Tambara functors introduced by Bachmann. In this article, we extend a result of Hoyer about \(G\)-Tambara functors to this more general context.