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Yunhyung Cho

Associate professor,

Department of Mathematics Education, Sungkyunkwan University,

Seoul, Republic of Korea.

(E-mail : yunhyung_at_skku_dot_edu )

Education

Employment 


Research interest : Compact Lie group actions and Symplectic geometry

Published or accepted articles

C. R. Math. Acad. Sci. Paris. 350 (2012), No.17-18, 845-848.

Proc. Amer. Math. Soc. 142 (2014), No. 7, 2417-2428.

Math. Res. Lett. 21 (2014), No. 4, 691-696.

J. Symplectic Geom. 13 (2015), No. 4, 963-1000.

  5. Unimodality of Betti numbers for Hamiltonian circle actions with index-increasing moment maps

Internat. J. Math. 27 (2016), No. 5, 1650043 (14 pages).

  6. Hard Lefschetz property of symplectic structures on compact Kaehler manifolds

Trans. Amer. Math. Soc. 368 (2016), No. 11, 8223-8248.

  7. Hamiltonian circle action with self-indexing moment map (with Min Kyu Kim)

Math. Res. Lett. 23 (2016), No. 3, 719-732.

  8. Embedded surfaces for symplectic circle actions (with Min Kyu Kim and Dong Youp Suh)

Chin. Ann. Math. Ser. B 38 (2017), No. 6, 1197-1212. (Proceedings of the International Open Chinese-Russian Conference)

  9. On the f-vectors of Gelfand-Cetlin polytopes (with Byung Hee An and Jang Soo Kim )

European J. Combin. 67 (2018), 61-77.

  10. Hard Lefschetz property for Hamiltonian torus actions on 6-dimensional GKM-manifolds (with Min Kyu Kim)

J. Symplectic Geom. 16 (2018), No. 6, 1549-1590.

  11. On the Chern numbers for pseudo-free circle actions (with Byung Hee An )

J. Symplectic Geom. 17 (2019), No. 1, 1-40.

   12. Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions I

Internat. J. Math. 30 (2019), No. 6, 1950032 (71 pages).

  13.  Monotone Lagrangians in flag varieties (with Yoosik Kim )

Int. Math. Res. Not. IMRN. (2021), No. 18, 13892-13945.  published online 

   14. Lagrangian fibers of Gelfand-Cetlin systems of SO(n)-type (with Yoosik Kim )  

Transform. Groups 25 (2020) 1063-1102.

   15. Lagrangian fibers of Gelfand-Cetlin systems (with Yoosik Kim and Yong-Geun Oh )

Adv. Math. 372 (2020) 107304 (57pp).

   16. A critical point analysis of Landau--Ginzburg potentials with bulk in Gelfand--Cetlin systems (with Yoosik Kim and Yong-Geun Oh )

Kyoto J. Math. 61 (2021), No. 2, 259-304. (Proceedings of the conference in honor of Kenji Fukaya's 60th birthday)

   17. Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions II

Internat. J. Math. 32 (2021), No. 2,  2050120 (47 pages).

   18. Classification of six dimensional monotone symplectic manifolds admitting semifree circle actions III

Internat. J. Math. 32 (2021), No. 2, 2050106 (58 pages).

   19. Remark on the Betti numbers for Hamiltonian circle actions

C. R. Math. Acad. Sci. Paris. 359 (2021), No. 2, 113-117.

   20. On the combinatorics of string polytopes (with Yoosik Kim , Eunjeong Lee , and Kyeong-Dong Park)

       J. Comb. Theory Ser. A 184 (2021), 105508 (46pp)

   21. Enumeration of Gelfand-Cetlin type reduced words (with Jang Soo Kim and Eunjeong Lee )

       Electron. J. Comb. 29 (2022), No. 1, 1-27. 

   22. Small resolutions of toric varieties associated to string polytopes of small indices (with Yoosik Kim , Eunjeong Lee , and Kyeong-Dong Park)

       Commun. Contemp. Math. 25 (2023), No.1, 2150112 (56 pages)

          23. On the enumeration of Fano Bott manifolds  (with Eunjeong Lee , Mikiya Masuda, and Seonjeong Park )

      to appear in The Fields Institute Communication Volume: Toric Topology and Polyhedral Products.

  24. Unique toric structure on a Fano Bott manifold (with Eunjeong Lee , Mikiya Masuda, and Seonjeong Park )

      J. Symplectic Geom. 21 (2023), No. 3, 439-462.

   25. c_1-cohomological rigidity for smooth Fano toric varieties of Picard number two (with Eunjeong Lee , Mikiya Masuda, and Seonjeong Park )

to appear in Proc. Steklov Inst. Math. (Proceedings of the conference in honor of Victor Buchstaber's 80th birthday)

          26.Newton–Okounkov polytopes of type A flag varieties of small ranks arising from cluster structures (with Naoki Fujita, Akihiro Higashitani, and Eunjeong Lee )

to appear in Proc. Steklov Inst. Math. (Proceedings of the conference in honor of Victor Buchstaber's 80th birthday)

Articles submitted or under revision

In preparation

Lecture Video

Conferences and Seminars 2017-2023

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