My research interests primarily focus on C*-algebras and their connection to higher category theory and mathematical physics. The main C*-algebraic properties I am interested in are nuclear dimension and Z-stability and their connection with extension theory. I am also interested in higher operator algebraic categories and their application to local topological order.
I mentored an undergraduate research project during the summer of 2026, from which the paper Superselection Theory for 2D Braided Quantum Spin Systems via Connes Fusion was written.
Papers:
Superselection Theory for 2D Braided Quantum Spin Systems via Connes Fusion with C. Li, D. Penneys, and E. Sherman. In preparation.
The Nuclear Dimension of Extensions and Graph C*-Algebras with S. Evington and C. Schafhauser. In preparation.
The Homotopy 3-Type of Abelian C*-Algebras with G. Ferrer. arXiv: 2603.29985
Z-Stable Graph Algebras. To appear in J. Oper. Theory. arXiv: 2511.02760
The Nuclear Dimension of Graph C*-Algebras with Condition (K) with C. Schafhauser, Proc. Amer. Math. Soc., 152 (2024), 4421–4435. arXiv: 2310.15073