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