I'm currently working on understanding the algebraic K-theory of several interesting algebras through trace methods. In practice, this means lots of calculations of THH and TC. Along the way, I started to think about the classification of DGAs with polynomial homology through the lens of stable homotopy theory.
I also think about various (equivariant) multiplicative structures that come up in homotopy theory. This started with my master's thesis on Hermitian Mackey functors and ring spectra with anti-involution.