Euiyong's homepage

- Name : Euiyong Park

- Position : Professor

- Affiliation : Department of Mathematics, University of Seoul, Seoul  02504, Korea

- e-mail : epark@uos.ac.kr

Education

           Institution                        Major                 Degree and Year

Seoul National University   Mathematics          B.Sc. Feb. 2005

Seoul National University   Mathematics          Ph.D. Feb. 2010

Research interests

• Representation theory for quantum groups

• Categorification for quantum groups and its applications

Employment

• Postdoctoral Fellow, BK21 Mathematical Sciences Division, Seoul National University, Mar. 2010 - Jul. 2010

• Postdoctoral Fellow, School of Mathematics, KIAS(Korea Institute for Advanced Study), Sep. 2010 - Aug. 2011

• Postdoctoral Fellow (JSPS), Department of Pure and Applied Mathematics, Osaka University, Sep. 2011 - Aug. 2012

• Postdoctoral Fellow, Research Institute of Mathematics, Seoul National University, Sep. 2012 - Feb. 2013

• Assistant Professor, Department of Mathematics, University of Seoul, Mar. 2013 - Feb. 2017

• Associate Professor, Department of Mathematics, University of Seoul, Mar. 2017 - Feb. 2022

• Professor, Department of Mathematics, University of Seoul, Mar. 2022 - present

Awards and Honors

• Best teaching assistant award (Department of Mathematical Sciences), Seoul National University, Feb. 2006

• Best doctoral thesis prize (College of Natural Sciences), Seoul National University, Feb. 2010

• JSPS Postdoctoral Fellowship for Foreign Researchers 2011 - 2012, Japan Society for the Promotion of Science

• Sangsan Prize for Young Mathematicians, Korean Mathematical Society, Oct.  2015

• 31st Best Science and Technology Paper Award, Korean Federation of Science and Technology Societies (KOFST) (2021)

• Frontiers of Science Awards, The first International Congress of Basic Science, China, July 2023

• Young Researcher Program Grant, National Research Foundation of Korea,  May 2014 - April 2017

• Young Researcher Program Grant(continued), National Research Foundation of Korea,  Mar. 2017 - Feb. 2020

• General Research Program Grant, National Research Foundation of Korea,  Mar. 2020 - Aug. 2023

• Mid-Career Researcher Program Grant, National Research Foundation of Korea,  Sep. 2023 - present 

• Science Research Center (Center for Quantum Structures in Modules and Spaces, research team member), National Research Foundation of Korea,  Mar. 2020 - present 

Preprints

[5] Woo-Seok Jung and Euiyong Park, Crystals and quantum twist automorphisms, arXiv:2507.01306

[4] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Reflection functors on quiver Hecke algebras, arXiv:2506.12681

[3] Chul-hee Lee, Jian-Rong Li, Euiyong Park, Verlinde rings and cluster algebras arising from quantum affine algebras, arXiv:2412.14601

[2] Jian-Rong Li, Euiyong Park, Braid group actions on grassmannians and extended crystals of type A, arXiv:2410.09458  

[1] Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park, Braid symmetries on bosonic extensions, arXiv:2408.07312  

Publications

[43] Yunhyung Cho, Myungho Kim, Yoosik Kim, Euiyong Park, Cluster algebras and monotone Lagrangian tori, arXiv:2401.00252; to appear in Adv. Math.

[42] Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park, Global bases for Bosonic extensions of quantum unipotent coordinate rings, arXiv:2406.13160; to appear in Proceedings of the London Mathematical Society.

[41] Se-jin Oh, Euiyong Park, PBW theory for Bosonic extensions of quantum groups, Int. Math. Res. Not. IMRN 2025, no. 6, Paper No. rnaf049, 33 pp.

[40] Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park, Unipotent quantum coordinate ring and cominuscule prefundamental representations, J. Algebra 673 (2025), 260–303.

[39] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Laurent family of simple modules over quiver Hecke algebra, Compos. Math. 160 (2024), no. 8, 1916–1940.

[38] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Localizations for quiver Hecke algebras III, Mathematische Annalen (2024), 390 (2024), no. 4, 5075–5108. (https://doi.org/10.1007/s00208-024-02875-z)

[37] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Monoidal categorification and quantum affine algebras II, Invent. Math.236(2024), no.2, 837–924.

[36] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Affinizations, R-matrices and reflection functors, Adv. Math. 443 (2024), Paper No. 109598, 83 pp.

[35] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, PBW theory for quantum affine algebras, J. Eur. Math. Soc. J. Eur. Math. Soc. (JEMS)26 (2024), no.7, 2679–2743. (DOI 10.4171/JEMS/1323)

[34] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Localizations for quiver Hecke algebras II, Proc. Lond. Math. Soc. (3) 127 (2023)

[33]  Euiyong Park, Braid group action on extended crystals, Adv. Math.429(2023), Paper No. 109193, 28 pp.

[32] Il-Seung Jang, Jae-hoon Kwon, and Euiyong Park, Unipotent quantum coordinate ring and prefundamental representations for types $A_n^{(1)}$ and $D_n^{(1)}$, International Mathematics Research Notices, Int. Math. Res. Not. IMRN(2023), no.2, 1119–1172.

[31] Masaki Kashiwara and Euiyong Park,  Categorical crystals for quantum affine algebras, J. Reine Angew. Math.792 (2022), 223–267.

[30] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Cluster algebra structures on module categories over quantum affine algebras,  Proc. Lond. Math. Soc. (3) 124 (2022), no. 3, 301–372.

[29] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Simply-laced root systems arising from quantum affine algebras,  Compos. Math. 158 (2022), no. 1, 168–210. 

[28] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Categories over quantum affine algebras and monoidal categorification,  Proc. Japan Acad. Ser. A Math. Sci. 97 (2021), no. 7, 39–44. (Announcement)

[27] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, PBW theoretic approach to the module category of quantum affine algebras,  Proc. Japan Acad. Ser. A Math. Sci. 97 (2021), no. 6, 33–37.  (Announcement)

[26] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Braid group action on the module category of quantum affine algebras,  Proc. Japan Acad. Ser. A Math. Sci. 97 (2021), no. 3, 13–18. (Announcement)

[25] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Localizations for quiver Hecke algebras,  Pure Appl. Math. Q. 17 (2021), no. 4, 1465–1548.

[24] Young-Tak Oh and Euiyong Park, q-dimensions of highest weight crystals and cyclic sieving phenomenon, European J. Combin. 97 (2021), Paper No. 103372, 14 pp. 

[23] Euiyong Park, Cyclotomic quiver Hecke algebras corresponding to minuscule representations,  J. Korean Math. Soc. 57 (2020), no. 6, 1373–1388.

[22] Myungho Kim and Euiyong Park, A remark on convolution products for quiver Hecke algebras,  Internat. J. Math. 31 (2020), no. 11, 2050092, 27 pp.

[21] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Monoidal categorification and quantum affine algebras, Compos. Math. 156 (2020), no. 5, 1039–1077.

[20] Young-Tak Oh and Euiyong Park, Crystals, Semistandard tableaux and cyclic sieving phenomenon,  Electron. J. Combin. 26 (2019), no. 4, Paper No. 4.39, 19 pp.

[19] Susumu Ariki, Euiyong Park, Liron Speyer, Specht modules for quiver Hecke algebras of type $C$, Publ. RIMS Kyoto Univ. 55 (2019), 565-626.

[18] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Monoidal categories associated with strata of flag manifolds, Adv. Math. 328 (2018), 959-1009.

[17] Masaki Kashiwara and Euiyong Park, Affinizations and R-matrices for quiver Hecke algebras, J. Eur. Math. Soc. (JEMS) 20 (2018), no. 5, 1161-1193.

[16] Susumu Ariki and Euiyong Park, Representation type of finite quiver Hecke algebras of type $C^{(1)}_{\ell}$, Osaka J. Math. 53 (2016), no. 2, 463-488

[15] Susumu Ariki and Euiyong Park, Representation type of finite quiver Hecke algebras of type $D^{(2)}_{\ell+1}$, Trans. Amer. Math. Soc. 368 (2016), no. 5, 3211-3242

[14] Susumu Ariki, Kazuto Iijima, and Euiyong Park, Representation type of finite quiver Hecke algebras of type $A^{(1)}_{\ell}$ for arbitrary parameters, Int. Math. Res. Not. IMRN 2015, no. 15, 6070-6135

[13] Jae-Hoon Kwon and Euiyong Park, Duality on Fock spaces and combinatorial energy functions, Journal of Combinatorial Theory, Series A (2015), vol. 134, 121-146

[12] Se-jin Oh and Euiyong Park, Young walls and graded dimension formulas for finite quiver Hecke algebras of type $A^{(2)}_{2\ell}$ and $D^{(2)}_{\ell+1}$, Journal of Algebraic Combinatorics (2014),  vol. 40, Issue 4, pp 1077-1102

[11] Georgia Benkart, Seok-Jin Kang, Se-jin Oh and Euiyong Park, Construction of irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type, Int. Math. Res. Notices (2014) vol. 2014 Issue 5, 1312-1366

[10] Susumu Ariki and Euiyong Park, Representation type of finite quiver Hecke algebras of type $A^{(2)}_{2\ell}$, Journal of Algebra 397 (2014), 457–488

[9] Seok-Jin Kang, Masaki Kashiwara and Euiyong Park, Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data,  Proc. Lond. Math. Soc. (3) 107 (2013), no. 4, 907–931

[8] Seok-Jin Kang, Se-jin Oh and Euiyong Park, Categorification of quantum generalized Kac-Moody algebras and crystal bases, International Journal of Mathematics 23 (2012), no. 11, 1250116 (51 pages)

[7] Euiyong Park, Quiver varieties and adjoint crystals of level $\ell$ for type $A^(1)_n$, Communications in Algebra 40 (2012), no. 12, 4513-4539

[6] Euiyong Park, Khovanov-Lauda-Rouquier algebras and crystal bases for finite classical type, RIMS Kokyuroku (proceedings of "Topics in Combinatorial Representation Theory") (2012), no.1795, 163-178

[5] Seok-Jin Kang, Dong-Il Lee, Euiyong Park, and Hyungju Park, Generalized Castelnuovo-Mumford regularity for affine Kac-Moody algebras, Journal of Algebra 341 (2011), no.1, 13-22

[4] Seok-Jin Kang and Euiyong Park, Quiver varieties and path realizations arising from adjoint crystals of type $A^(1)_n$, Transactions of the American Mathematical Society 363 (2011), no.10, 5341-5366

[3] Seok-Jin Kang and Euiyong Park, Irreducible Modules over Khovanov-Lauda-Rouquier Algebras of type $A_n$ and Semistandard Tableaux, Journal of Algebra 339 (2011), no.1, 223-251

[2] Seok-Jin Kang, Se-jin oh, and Euiyong Park, Perfect bases for integrable modules over generalized Kac-Moody algebras, Algebras and Representation Theory 14 (2011), no.3, 571-587

[1] Seok-Jin Kang, Dong-Il Lee, Euiyong Park, and Hyungju Park, A generalization of Castelnuovo-Mumford regularity for representations of noncommutative algebras, Journal of Algebra 324 (2010), no.4, 631-651

Errata

[1]  Erratum to “Braid group action on extended crystals” (Adv. Math.429(2023), Paper No. 109193, 28 pp.),  Typo corrections in the definition of (dual) PBW basis (erratum)