I work on trying to understand the reach of universality & undecidability across disciplines. A good entry point to this topic may be this recent TEDx talk or this essay. We have open Postdoc and PhD positions on this topic.
I also work on some mathematical physics topics, which mainly have to do with the interaction between the multiplicity of systems and positivity (or cones). A good entry point to this topic may be this recent oveview talk and this recent paper with Tim Netzer. Other fun things include this work on the halos of quantum states, and these invitations into quantum magic squares in The Science Breaker or Quanta magazine.