I am interested in topics involving:

• quantum symmetries and quantum topology

• topological quantum computation

• topological quantum field theories (TQFTs)

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]

Sung Kim.

arXiv preprint

[3] Robust Universal Braiding with Non-semisimple Ising Anyons [doi]

Filippo Iulianelli, Sung Kim, Joshua Sussan, and Aaron Lauda.

Physical Review A (2026)

[2] Universal quantum computation using Ising anyons from a non-semisimple TQFT [doi]

Filippo Iulianelli, Sung Kim, Joshua Sussan, and Aaron Lauda.

Nature Communications (2025)

[1] Zesting produces modular isotopes and explains their topological invariants [doi]

Colleen Delaney, Sung Kim, and Julia Plavnik.

Quantum Topology (2025)

or view on arXiv.

Note: Following the convention in mathematics, authors are listed alphabetically. All articles follow the mathematics convention unless the senior or corresponding author is underlined.