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] Masaki Kashiwara, Myungho Kim, Se-jin Oh, Euiyong Park, Global bases for Bosonic extensions of quantum unipotent coordinate rings, arXiv:2406.13160
[4] Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park, Unipotent quantum coordinate ring and cominuscule prefundamental representations, arXiv:2406.02870 arXiv:2406.02870
[3] Se-jin Oh, Euiyong Park, PBW theory for Bosonic extensions of quantum groups, arXiv:2401.04878
[2] Yunhyung Cho, Myungho Kim, Yoosik Kim, Euiyong Park, Cluster algebras and monotone Lagrangian tori, arXiv:2401.00252
[1] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Laurent family of simple modules over quiver Hecke algebra, arXiv:2306.15181
Publications
[38] Masaki Kashiwara, Myungho Kim, Se-jin Oh, and Euiyong Park, Localizations for quiver Hecke algebras III, Mathematische Annalen (2024). (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)