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, algebraic and computational aspects of topological quantum field theories, and their applications to topological quantum computation. My primary tools come from representation theory and low-dimensional topology. Recently, I have been investigating the strengths and effectiveness of non-semisimple TQFTs in various contexts.
[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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