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
Publications:
[3] Robust Universal Braiding with Non-semisimple Ising Anyons [arXiv] [journal]
Filippo Iulianelli, Sung Kim, Aaron Lauda, and Joshua Sussan.
Physical Review A (2026)
[2] Universal quantum computation using Ising anyons from a non-semisimple TQFT [arXiv] [journal]
Filippo Iulianelli, Sung Kim, Aaron Lauda, and Joshua Sussan.
Nature Communications (2025)
[1] Zesting produces modular isotopes and explains their topological invariants [arXiv] [journal]
Colleen Delaney, Sung Kim, and Julia Plavnik.
Quantum Topology (2025)
Preprints:
[1] Fusion Trees and Homological Representations [arXiv]
Sung Kim.
arXiv preprint
or view on arXiv.