Research
I study topologically ordered quantum spin systems using operator algebraic methods. To date, I have mostly studied these systems using DHR-style techniques to realize categories of anyons or symmetry defects mathematically rigorously in the infinite volume.
Preprints
- An operator algebraic approach to symmetry defects and fractionalization (with Kyle Kawagoe and Siddharth Vadnerkar). (arXiv:2410.23380)
- Superselection sectors for posets of von Neumann algebras (with Anupama Bhardwaj, Tristen Brisky, Chian Yeong Chuah, Kyle Kawagoe, Joseph Keslin, and David Penneys). (arXiv:2410.21454)
Peer-reviewed journal articles
- Local topological order and boundary algebras (with Corey Jones, Pieter Naaijkens, and David Penneys), to appear in Forum of Math. Sigma. (arXiv:2307.12552)
- Boundary algebras of the Kitaev Quantum Double model (with Chian Yeong Chuah, Brett Hungar, Kyle Kawagoe, David Penneys, Mario Tomba, and Shuqi Wei), J. Math. Phys. 65 (2024), 102201. (DOI:10.1063/5.0212164, arXiv:2309.13440)
- An algebraic quantum field theoretic approach to toric code with gapped boundary, J. Math. Phys. 64 (2023), 102301. (DOI:10.1063/5.0149891, arXiv:2212.01952)
