Papers, Slides, Notes

Publications

Journal Articles

1. Global hypersurfaces of section for geodesic flows on convex hypersurfaces
   Co-authored with Sunghae Cho,
   Archiv der Mathematik, July 2024.
   arXiv:2401.02667

   Summary: Construction of a global hypersurface of section for the geodesic flow with some symmetry.

Thesis

1. Global Hypersurfaces of Section and the Spatial Kepler Problem
   Ph.D. Thesis, Seoul National University, February 2025.

Preprints

1. Conley-Zehnder Indices of Spatial Rotating Kepler Problem
   arXiv:2506.14325

   Summary: Description of the moduli space and computing the Conley-Zehnder indices of periodic orbits of spatial rotating Kepler problem.

Drafts

1. Fiberwise Convexity of Restricted Three-body Problem (In progress)
   Co-authored with Sunghae Cho and Beomjun Sohn

   Summary: Investigating fiberwise convexity in the restricted three-body problem, relating it to spatial periodic orbits.

Slides

1. Hamiltonian Dynamics and Three-body Problem
   G-Lamp Mathematics Seminar
   Soongsil University, Korea, January 2026.

2. Hamiltonian Dynamics and Three-body Problem
   Symplectic Learning Seminar
   Seoul National University, Korea, December 2025.

3. Hamiltonian Dynamics and Three-body Problem
   Rookie's Pitch
   Seoul National University, Korea, October 2025.

4. Three-body Problem and Related Problems
   QSMS 2025 Summer Workshop
   Goseong, Korea, August 2025.

5. Periodic Orbits of Spatial Kepler Problem
   Billiards and Quantitative Symplectic Geometry
   Heidelberg University, Germany, July 2025.

6. Periodic Orbits of Spatial Kepler Problem
   2025 Korean Mathematical Society Spring Meeting
   Daejeon, Korea, April 2025.

7. Spatial Kepler Problem
   Thesis Defense
   Seoul National University, 2024.

8. Global Hypersurfaces of Section
   Thesis Defense
   Seoul National University, 2024.

Poster

1. Periodic Orbits of Rotating Kepler Problem : Bifurcation and Conley-Zehnder Indices
   Celestial Mechanics & N-body Dynamics
   Tokyo, Japan, November 2025.

Notes

1. Here are some old notes.