I am a PhD in Mathematics. I’m working on Geometric Topology, Dynamical Group Theory and Geometric Group Theory.

Publications

Published or Accepted

  1. Quasimorphisms on the group of density preserving diffeomorphisms of the Möbius band
    with Shuhei Maruyama
    International Mathematics Research Notices (IMRN), 2026, no. 1, rnaf365.
    arXiv:2412.18466 doi:10.1093/imrn/rnaf365
  2. Topological switching via exceptional point pairs in optical microcavities
    with Kyu-Won Park, Jinuk Kim, Muhan Choi, and Kabgyun Jeong
    Co-first authors: Kyu-Won Park and KyeongRo Kim.
    Photonics Research, 14 (2026), no. 2, 401–410.
    arXiv:2501.00406 doi:10.1364/PRJ.569511
  3. Groups acting on veering pairs and Kleinian groups
    with Hyungryul Baik and Hongtaek Jung
    Journal of the London Mathematical Society, 111 (2025), no. 1, e70052.
    doi:10.1112/jlms.70052
  4. Uniform difference between the length spectra of Out(F2) and the genus two handlebody group
    with Donggyun Seo
    International Journal of Algebra and Computation, 35 (2025), no. 2, 183–221.
    doi:10.1142/S0218196724500590
  5. A sequence of algebraic integer relation numbers which converges to 4
    with Wonyong Jang
    Topology and its Applications, 294 (2021), 107665.
    arXiv:2010.09560 doi:10.1016/j.topol.2021.107665
  6. Laminar groups and 3-manifolds
    with Hyungryul Baik
    In Ken’ichi Ohshika and Athanase Papadopoulos, eds., In the Tradition of Thurston: Geometry and Topology, Springer Nature, 2020, 365–421.
    doi:10.1007/978-3-030-55928-1_10
  7. An algorithm to compute Teichmüller polynomial from matrices
    with Hyungryul Baik, Chenxi Wu, and TaeHyouk Jo
    Geometriae Dedicata, 204 (2020), 175–189.
    arXiv:1703.09089 doi:10.1007/s10711-019-00450-4

Preprints

  1. Eclipses on Zippers
    2026.
    arXiv:2604.21792
  2. The Euler class and flux homomorphisms under non-orientability
    with Shuhei Maruyama
    2025.
    arXiv:2508.12874
  3. Ping-pong dynamics of hyperbolic-like actions with non-simple points
    with Michele Triestino
    2025.
    arXiv:2506.01690
  4. Matsumoto dichotomy on foliated S1-bundles
    with Hongjun Lee
    2025.
    arXiv:2502.08203
  5. Characterization of Fuchsian groups as laminar groups & the structure theorem of hyperbolic 2-orbifolds
    with Hyungryul Baik
    2021.
    arXiv:2110.06481