Research

 My research interests include symplectic topology, Floer theory, mirror symmetry, integrable systems, flag manifolds, and  cluster algebras

• Articles

  1. Yoosik Kim,  Siu-Cheong Lau, Xiao Zheng, Disk potential functions for polygon spaces, to appear in J. Symplectic Geom.  arXiv Link, Journal Link.

  2. Yoosik Kim, Chekanov torus and Gelfand--Zeitlin torus in  S2 x S2, Differential Geom. Appl. 93 (2024), Paper No. 102091, 16 pp. arXiv Link, Journal Link.

  3. Hansol Hong, Yoosik Kim, Siu-Cheong Lau, Immersed two-spheres and SYZ with application to Grassmannians, J. Differential Geom. 125 (2023), No. 3, pp. 427-507. arXiv Link, Journal Link.

  4. Yoosik Kim, On non-displaceable Lagrangian submanifolds in two-step flag varieties, J. Korean Math. Soc. 60 (2023), No. 5, pp. 1109-1133. arXiv Link, Journal Link.

  5. Yoosik Kim, Siu-Cheong Lau, Xiao Zheng, T-equivariant disc potential and SYZ mirror construction, Adv. Math. 430 (2023), Paper No. 109209, 70 pp. arXiv Link, Journal Link. 

  6. Yoosik Kim, Disk potential functions for quadrics, J. Fixed Point Theory Appl. 25 (2023), no. 2, Paper No. 46, 31 pp. arXiv Link, Journal Link.

  7. Yunhyung Cho, Yoosik Kim, Eunjeong Lee, Kyeong-Dong Park, Small toric resolutions of toric varieties associated to string polytopes of small indices,  Commun. Contemp. Math. 25 (2023), no. 1, Paper No. 2150112, 56 pp. arXiv Link, Journal Link.

  8. Yunhyung Cho, Yoosik Kim, Yong-Geun Oh, A critical point analysis of Landau--Ginzburg potentials with bulk in Gelfand--Cetlin systems, Kyoto J. Math. 61 (2021), no. 2, 259–304. The Fukaya's collection in honor of  Kenji Fukaya's 60th birthday. arXiv Link, Journal Link. 

  9. Yunhyung Cho, Yoosik Kim, Monotone Lagrangians in flag varieties, Int. Math. Res. Not. IMRN 2021, no. 18, 13892–13945. arXiv Link, Journal Link. 

  10. Yunhyung Cho, Yoosik Kim, Eunjeong Lee, Kyeong-Dong Park, On the combinatorics of string polytopes, J. Combin. Theory Ser. A 184 (2021), Paper No. 105508, 46 pp. arXiv Link, Journal Link.

  11. Yunhyung Cho, Yoosik Kim, Lagrangian fibers of Gelfand--Cetlin systems of SO(n)-type, Transform. Groups 25 (2020), no 4, 1063–1102. arXiv Link, Journal Link. 

  12. Yunhyung Cho, Yoosik Kim, Yong-Geun Oh, Lagrangian fibers of Gelfand-Cetlin systems, Adv. Math. 372 (2020), 107304, 57 pp. arXiv Link, Journal Link.

  13. Yoosik Kim, Jaeho Lee, Fumihiko Sanda, Detecting non-displaceable toric fibers on compact toric manifolds via tropicalizations, Internat. J. Math. 30 (2019), No. 01, 1950003, 40 pp. arXiv Link (old version), Updated version, Journal Link. 

  14. Yoosik Kim, On non-displaceable Lagrangian tori on Fano toric surfaces: wall-crossings and bulk-deformations, Ph.D thesis.  
      
      

• Preprints

  1. Yunhyung Cho, Myungho Kim, Yoosik Kim, Euiyong Park, Cluster algebras and monotone Lagrangian tori. arXiv Link.

  2. Hansol Hong, Yoosik Kim, Siu-Cheong Lau, Xiao Zheng, T-equivariant disc potentials for toric Calabi-Yau manifolds. arXiv Link.

Organizing seminars and conferences

• PNU Geometry and Topology seminar.

• The 8th  Workshop for Young Symplectic Geometers.

Organizing seminars and conferences (past)

• School on Lie theoretical methods in symplectic geometry and mirror symmetry

• East Asian Symplectic Conference 2023.

• 2023 Summer seminars on Geometry and Topology at PNU.

• The 6th  Workshop for Young Symplectic Geometers.

• Symplectic Monday seminar at IBS-CGP.

• QSMS workshop on symplectic geometry and related topics (2023 Winter)

• Symplectic geometry and Beyond (Part I), (2022 Winter)