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
   Co-authored with Sunghae Cho and Beomjun Sohn, In progress

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

Slides

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

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

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

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

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

Notes

1. Here are some old notes.