I am interested in topics involving:
quantum symmetries and quantum topology
topological quantum computation
topological quantum field theories (TQFTs)
I am interested in topics involving:
quantum symmetries and quantum topology
topological quantum computation
topological quantum field theories (TQFTs)
My primary tools come from:
low-dimensional topology
representation theory
tensor category theory
Recently, I have been investigating the strengths and effectiveness of non-semisimple TQFTs in various contexts. My current research program is non-semisimple topological quantum computation.
[4] Fusion Trees and Homological Representations [arXiv]
arXiv preprint
[3] From negligible to neglecton: making Ising anyons braiding universal [arXiv]
with Filippo Iulianelli, Aaron Lauda, and Joshua Sussan.
arXiv preprint
[2] Universal quantum computation using Ising anyons from a non-semisimple TQFT [doi]
with Filippo Iulianelli, Aaron Lauda, and Joshua Sussan.
Nature Communications (2025)
[1] Zesting produces modular isotopes and explains their topological invariants [doi]
with Colleen Delaney and Julia Plavnik.
Quantum Topology (2025)
or view on arXiv.