Welcome!

I am an associate professor at the department of mathematical sciences in Seoul National University. 

Research Interests

Differential geometry, geometric analysis, dynamical systems, and in particular symplectic geometry and Floer theory. 

Publications

1. Strong Arnold chord conjecture via normalized capacities (with J. Zhang)
   arXiv preprint 2024
   
   

2. Rabinowitz Floer homology for prequantization bundles and Floer Gysin sequence (with J. Bae and S. Kim)
   Mathematische Annalen 2024, journal link, arXiv link
   
   

3. On the strong Arnold chord conjecture for convex contact forms
   arXiv preprint 2023
   
   

4. Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence (with P. Albers)
   Advances in Mathematics 2023, journal link, arXiv link
   
   

5. Relative Hofer-Zehnder capacity and positive symplectic homology (with G. Benedetti, appendix by A. Abbondandolo and M. Mazzucchelli)
   Journal of fixed point theory and applications (C. Viterbo's 60th birthday volume) 2022, journal link, arXiv link
   
   

6. Symplectic homology of convex domains and Clarke's duality (with A. Abbondandolo)
   Duke Mathematical Journal 2022, journal link, arXiv link
   
   

7. On a systolic inequality for closed magnetic geodesics on surfaces (with G. Benedetti)
   Journal of Symplectic Geometry 2022, journal link, arXiv link
   
   

8. On a local systolic inequality for odd-symplectic forms (with G. Benedetti)
   Portugaliae Mathematica 2020, journal link, arXiv link
   
   

9. A local contact systolic inequality in dimension three (with G. Benedetti)
   Journal of the European Mathematical Society 2021, journal link, arXiv link
   
   

10. Two closed orbits for non-degenerate Reeb flows (with M. Abreu, J. Gutt, and L. Macarini)
    Mathematical Proceedings of the Cambridge Philosophical Society 2020, journal link, arXiv link
    
    

11. Local invariant for scale structures on mapping spaces
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2019, journal link, arXiv link
    
    

12. Vanishing of Rabinowitz Floer homology on negative line bundles (with P. Albers)
    Mathematische Zeitschrift 2017, journal link, arXiv link
    
    

13. On reversible maps and symmetric periodic points
    Ergodic Theory and Dynamical Systems 2016, journal link, arXiv link
    
    

14. On the minimal number of periodic orbits on some hypersurfaces in R2n (with J. Gutt)
    Annales de I'Institut Fourier 2016, journal link, arXiv link
    
    

15. Real holomorphic curves and invariant global surfaces of section (with U. Frauenfelder)
    Proceedings of the London Mathematical Society 2016, journal link, arXiv link
    
    

16. Some remark on symmetric periodic orbits in the restricted three-body problem
    Discrete and Continuous Dynamical Systems - Series A 2014, journal link, arXiv link
    
    

17. Symplectic homology of displaceable Liouville domains and leafwise intersection points
    Geometriae Dedicata 2014, journal link, arXiv link
    
    

18. Equivariant symplectic homology and multiple periodic Reeb orbits
    International Journal of Mathematics 2013, journal link, arXiv link
    
    

19. Künneth formula in Rabinowitz Floer homology
    Calculus of Variations and Partial Differential Equations 2013, journal link, arXiv link
    
    

20. Generalized Rabinowitz Floer homology and coisotropic intersections
    International Mathematical Research Notices 2013, journal link, arXiv link
    
    

21. Existence of leafwise intersection points in the unrestricted case
    Israel Journal of Mathematics 2012, journal link, arXiv link
    
    

22. Invariance property of Morse homology on noncompact manifolds
    arXiv preprint 2010
    
    

23. Survival of infinitely many critical points for Rabinowitz action functional
    Journal of Modern dynamics 2010, journal link, arXiv link