Publications

My research interests are Toric topology, Combinatorics, Symplectic geometry, and Topological Data Analysis (TDA).

Published (25)

1. Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, and Seonjeong Park, Unique toric structure on a Fano Bott manifold, J. Symplectic Geom., Vol. 21, No. 3 (2023), pp. 439-462. arXiv:2005.02740

2. Boram Park and Seonjeong Park, On shellability for a poset of even subgraphs of a graph, Proc. Edinb. Math. Soc. [Available online since 03 November 2023], arXiv:1705.06423

3. Eunjeong Lee, Mikiya Masuda and Seonjeong Park, Toric Richardson varieties of Catalan type and Wedderburn-Etherington numbers,  European J. Combin. 108, February 2023, 103617 [Available online since 26 October 2022]. arXiv:2105.12274

4. JiSun Huh and Seonjeong Park, Toric varieties of Schröder type, Proc. Steklov Inst. Math., 317, 161-177 (2022). arXiv:2204.00214

5. Seonjeong Park and Jongbaek Song, Conic decomposition of a toric variety and its application to cohomology, Proc. AMS., 2022, 150(7), 2777-2792. arXiv:2106.04429

6. Eunjeong Lee, Mikiya Masuda and Seonjeong Park, Torus orbit closures in flag varieties and retractions on Weyl groups, Int. J. Math. 33 (4), 2250028 (2022). arXiv:1908.08310

7. Eunjeong Lee, Mikiya Masuda and Seonjeong Park, On Schubert varieties of complexity one, Pacific J. Math., 315(2), 419--447 (2022).  arXiv:2009.02125

8. Eunjeong Lee, Mikiya Masuda, Seonjeong Park and Jongbaek Song, Poincare polynomials of generic torus orbit closures in Schubert varieties, Contemporary Mathematics: Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial, 772(2021), 189-208.

9. Eunjeong Lee, Mikiya Masuda and Seonjeong Park, Toric Bruhat interval polytopes, JCTA, 179 (April 2021). arXiv:1904.10187

10. Boram Park, Hanchul Park, and Seonjeong Park, Graph invariants and Betti numbers of real toric manifolds,  Osaka J. Math., 57, 333--356 (2020). arXiv:1801.00296

11. Megumi Harada, Tatsuya Horiguchi, Mikiya Masuda, Seonjeong Park, The volume polynomial of regular semisimple Hessenberg varieties and the Gelfand-Zetlin polytope, Proc. Steklov Inst. Math., 305, 318--344 (2019). arXiv:1812.10112

12.  Seonjeong Park, Toric manifolds over cyclohedra, Osaka J. Math., 56(2), 237--254 (2019). arXiv:1709.03231

13. Sho Hasui, Hideya Kuwata, Mikiya Masuda, and Seonjeong Park, Classification of toric manifolds over an n-cube with one vertex cut, International Mathematics Research Notices, Volume 2020, Issue 16, July 2020, Pages 4890–4941, https://doi.org/10.1093/imrn/rny161, Online Publsihed: 05 July 2018. arXiv:1705.07530

14. Ho Kyoung Ko and Seonjeong Park, Mathematics Anxiety Analysis using Topological Data Analysis, East Asian Math. J. 34 (2), 177--189 (2018)

15.   Suyoung Choi and Seonjeong Park, Strong cohomological rigidity of toric varieties, Proc. Roy. Soc. Edinburgh Sect. A. 147, no. 5, 971--992 (2017), arXiv:1302.0133

16.   Anton Ayzenberg, Mikiya Masuda, Seonjeong Park, and Haozhi Zeng, Cohomology of toric origami manifolds with acyclic proper faces, J. Symplect. Geom. 15 (3), 645--685 (2017), arXiv:1407.0764

17.   Victor Buchstaber, Nikolay Erokhovets, Mikiya Masuda, Taras Panov, and Seonjeong Park, Cohomological rigidity of manifolds defined by 3-dimensional polytopes,  Uspekhi Mat. Nauk 72 (2017), no. 2, 3--66 (Russian); Russian Math. Surveys 72 (2017), no. 2, 199--256 (English translation); pdf (Russian); arXiv:1610.07575

18.   Suyoung Choi, Boram Park, and Seonjeong Park, Pseudograph and its associated real toric manifold, J. Math. Soc. Japan 69 (2), 693--714 (2017), arXiv:1506.06866.

19.   Suyoung Choi and Seonjeong Park, Projective bundles over toric surfaces, Int. J. Math. 27 (4), 1650032 (2016) [30 pages] DOI: http://dx.doi.org/10.1142/S0129167X16500324, arXiv:1209.5225

20.   Sunghyon Kyeong, Seonjeong Park, Keun-Ah Cheon, Jae-Jin Kim, Dong-Ho Song, and Eunjoo Kim*, A New Approach to Investigate the Association between Brain Functional Connectivity and Disease Characteristics of Attention-Deficit/Hyperactivity Disorder: Topological Neuroimaging Data Analysis, PLOS ONE, 10 (9): e0137296, DOI: 10.1371/journal.pone.0137296 (2015)

21.   Anton Ayzenberg, Mikiya Masuda, Seonjeong Park, and Haozhi Zeng, Toric origami structures on quasitoric manifolds, Proc. Steklov Inst. Math. 288 (1), 10--28 (2015), arXiv:1409.6855

22.   Ho Kyoung Ko, Young Woo Choi, and Seonjeong Park, Study on Big Data Utilization Plans of Mathematics Education, J. Korea Soc. Math. Ed. Ser. E: Communications of Mathematical Education 28 (4), 573--588 (2014)

23.   Mikiya Masuda and Seonjeong Park, Toric origami manifolds and multi-fans, Proc. Steklov Inst. Math. 286 (1) (the volume dedicated to Victor Buchstaber's 70th birthday) 308--323 (2014),  arXiv:1305.6347

24.   Seonjeong Park and Dong Youp Suh, Q-trivial generalized Bott manifolds, Osaka J. Math. 51 (4), 1081--1093 (2014), arXiv:1212.0103

25.   Suyoung Choi, Seonjeong Park, and Dong Youp Suh, Topological classification of quasitoric manifolds with second Betti number 2, Pacific J. Math. 256 (1) 19--49 (2012), arXiv:1005.5431

Accepted (2)

26.  Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, and Seonjeong Park, On the enumeration of Fano Bott manifolds, to appear in The Fields Institute Communication Volume: Toric Topology and Polyhedral Products., arXiv:2106.12788.

27. Yunhyung Cho, Eunjeong Lee, Mikiya Masuda, and Seonjeong Park, $c_1$-cohomological rigidity for smooth toric Fano varieties of Picard number two, to appear in Proc. Steklov Inst. Math., arXiv:2310.03219.

Preprints (2)

[28] Soojin Cho, JiSun Huh and Seonjeong Park, Pattern avoidance and smoothness of Hessenberg Schubert varieties, arXiv:2307.13334

[29] Eunjeong Lee, Mikiya Masuda, and Seonjeong Park,  Toric Schubert varieties and directed Dynkin diagrams, arXiv:2311.11535

Non-refereed papers

• [a] Seonjeong Park, Real toric manifolds and shellable posets arising from graphs, RIMS Kokyuroku 2060, 38--43 (2018).  ※ This paper introduces the results in the paper  On shellability for a poset of even subgraphs of a graph from a toric topological view.