Sung Kim
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I am a fifth-year Ph.D. student in Mathematics and an NSF Graduate Research Fellow at the University of Southern California. I am advised by Aaron Lauda.
I am fortunate to receive additional learning experiences through the Simons Collaboration on New Structures in Low-Dimensional Topology.
I am interested in topics involving:
quantum symmetries and quantum topology
topological quantum field theories (TQFTs)
topological quantum computation
My primary tools come from:
representation theory
low-dimensional topology
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.
I will be on the job market in the Fall of 2026.
[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.
skim2261 [at] usc.edu
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