Se-jin Oh's Homepage

(My son, Eunseok (Peter), was born in 8/20/2014, My daughter, Yoonseo (Jenna), was born in 11/05/2019.)

Name: Se-jin Oh.

Position: Associate professor.

Affiliation: Department of Mathematics Sungkyunkwan University, Suwon 6419, Korea.

Email: sejin092@gmail.com

Education

2. Graduate student (in the integrated course of Master program and Ph.D. program),

Graduate School in Department of Mathematical Sciences, Seoul National University, Seoul, Korea.

1. B. S. in Mathematics, Seoul National University, Seoul, Korea.

Employment

7. [2023.6-] Associate professor, Department of Mathematics Sungkyunkwan University, Suwon 6419, Korea.

6. [2021.3-2023.5.31] Associate professor, Department of Mathematics Ewha Womans University Seoul 120-750, Korea.

5. [2016.2-2021.2] Assistance professor, Department of Mathematics Ewha Womans University Seoul 120-750, Korea.

4. [2015.9-2016.01] Visiting assistance professor, Department of Mathematics, University of Oregon, Eugene, OR 97403, USA.

3. [2015.3-2015.8] Postdoctoral fellow, School of Mathematics, Korea Institute for Advanced Study Seoul 130-722, Korea.

2. [2014.3-2015.2] Postdoctoral fellow, Department of Mathematical Sciences, Seoul National University BK 21 PLUS, Seoul Korea.

1. [2013.3-2014.2] Postdoctoral fellow, Pohang Mathematics Institute, Pohang University of Science and Technology, Pohang, Korea.

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Research Interest

Categorifical representation theory, Combinatorial representation theory.

Now I am doing.......

Monoidal categorification of cluster algebras via quantum affine algebras, Computing denominator formulas between KR-modules for all affine types, Quiver Hecke algebras and its representation theory, Identities involving Schur-polynomials via auto-corelations.

List of Publications

Submitted or Preprint

(56) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Global bases for Bosonic extensions of quantum unipotent coordinate rings, arXiv:2406.13160

(55) Kyu-Hwan Lee and Se-jin Oh, Quantum cluster algebra, braid moves and quantum virtual Grothendieck ring, arXiv:2402.08140

(54) Se-jin Oh and Euiyong Park, PBW theory for Bosonic extensions of quantum groups, arXiv:2401.04878

(53) Il-Seung Jang, Kyu-Hwan Lee and Se-jin Oh, Braid group action on quantum virtual Grothendieck ring through constructing presentations, arXiv:2305.19471

(52) Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya, Isomorphisms among quantum Grothendieck rings and cluster algebras arXiv:2304.02562.

(51) Se-jin Oh* and Travis Scrimshaw, Simplicity of tensor products of Kirillov--Reshetikhin modules: nonexceptional affine and G types, arXiv:1910.10347.

Published or accepted for publication

(50) Il-Seung Jang, Kyu-Hwan Lee and Se-jin Oh, Quantization of virtual Grothendieck rings and their structure including quantum cluster algebras, to be appeared in Communications in Mathematical Physics (2024)

(49) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Localizations for quiver Hecke algebras III, Mathematische Annalen https://doi.org/10.1007/s00208-024-02875-z 03 May 2024.

(48) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Laurent family of simple modules over quiver Hecke algebra, to be appeared in Compositio Mathematica (2024).

(47) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Affinizations, R-matrices and reflection functors, Advances in Mathematics Volume 443, May 2024, 109598.

(46) Masaki Kashiwara, Myungho Kim, Se-jin Oh* and Euiyong Park, Monoidal categorification and quantum affine algebras II, Inventiones mathematicae Volume 236, pages 837–924, (2024).

(45) Masaki Kashiwara and Se-jin Oh, t-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras, Advances in Mathematics Volume 441, April 2024, 109551.

(44) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Localizations for quiver Hecke algebras II, Proceedings of the London Mathematical Society Volume 127, Issue 4 October 2023 Pages 1134-1184.

(43) Kyu-Hwan Lee and Se-jin Oh*, Auto-correlation functions for unitary groups, Algebras and Representation Theory Volume 27, pages 583–611, (2024).

(42) Jang Soo Kim, Kyu-Hwan Lee and Se-jin Oh*, Weight multiplicities and Young tableaux through affine crystals, Memoirs of the American Mathematical Society Volume 283 • Number 1401 (2023).

(41) Masaki Kashiwara and Se-jin Oh*, The (q,t)-Cartan matrix specialized at q=1 and its applications, Mathematische Zeitschrift volume 303, Article number: 42 (2023)

(40) Kyu-Hwan Lee and Se-jin Oh*, Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters, Advances in Mathematics, Volume 401, 4 June 2022, 108309

(39) Ryo Fujita, David Hernandez, Se-jin Oh, Hironori Oya, Isomorphisms among quantum Grothendieck rings and propagation of positivity, Journal für die reine und angewandte Mathematik (Crelles Journal), vol. , no. , 2022. https://doi.org/10.1515/crelle-2021-0088.

(38) Masaki Kashiwara, Myungho Kim, Se-jin Oh* and Euiyong Park, Categories over quantum affine algebras and monoidal categorification, Proc. Japan Acad., 97, Ser. A (2021)

(37) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Braid group action on the module category of quantum affine algebras, Proc. Japan Acad., 97, Ser. A (2021)

(36) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Simply-laced root systems arising from quantum affine algebras, Compos. Math. 156 (2022), no. 1, 168--210.

(35) Masaki Kashiwara, Myungho Kim, Se-jin Oh* and Euiyong Park, Cluster algebra structures on module categories over quantum affine algebras, Proceedings of the London Mathematical Society, 124, (2022), no. 3, 301--372

(34) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, PBW theory for quantum affine algebras, arXiv:2011.14253 (this is a completed version of (33)) Journal of the European Mathematical Society (2023).

(33) 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 (6) 33 - 37

(32) Ryo Fujita and Se-jin Oh*, Q-data and Representation theory of untwisted quantum affine algebras, Communications in Mathematical Physics (2021) https://doi.org/10.1007/s00220-021-04028-8.

(31) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Localizations for quiver Hecke algebras, Pure and Applied Mathematics Quarterly, Volume 17 (2021.Dec.22) Number 4

(30) Young-Hun Kim, Se-jin Oh and Young-Tak Oh, Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras, Advances in Mathematics Volume 374, 18 November 2020, 107336

(29) Young-Hun Kim, Se-jin Oh and Young-Tak Oh, Cyclic sieving phenomenon on dominant maximal weights, Sém. Lothar. Combin. 84B (2020), Art. 36.

(28) Masaki Kashiwara, Myungho Kim, Se-jin Oh* and Euiyong Park, Monoidal categorification and quantum affine algebras, Compositio Mathematica. Volume 156, Issue 5 May 2020 , pp. 1039-1077.

(27) Se-jin Oh and Travis Scrimshaw, Addendum -- Categorical relations between Langlands dual quantum affine algebras: Exceptional cases, Communications in Mathematical Physics 368, 295–367 (2019),

(26) Se-jin Oh* and UhiRinn Suh, Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras, Journal of algebra, Volume 535, 1 October 2019, Pages 53-132,

(25) Se-jin Oh and Travis Scrimshaw, Identities from representation theory, Discrete mathematics Volume 342, Issue 9, September 2019, Pages 2493-2541.

(24) Gabriel Feinberg, Sungsoon Kim, Kyu-Hwan Lee and Se-jin Oh, Fully commutative elements of the complex reflection groups, Journal of algebra, Volume 558, 15 September 2020, Pages 371-394

(23) Se-jin Oh and UhiRinn Suh, Combinatorial Auslander-Reiten quiver related to reduced expression, Journal of Korean Mathematical Society (2019) 56(2), 353-385

(22) Se-jin Oh and Travis Scrimshaw, Categorical relations between Langlands dual quantum affine algebras: Exceptional cases, Communications in Mathematical Physics (2019) May 2019, Volume 368, Issue 1, pp 295–367

(21) Masaki Kashiwara and Se-jin Oh*, Categorical relations between Langlands dual quantum affine algebras: Doubly laced types, Journal of Algebraic Combinatorics (2019) 49(4) 401-435.

(20) Se-jin Oh, Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality, Mathematische Zeitschrift Volume 291, pages 499–554, (2019)

(19) Masaki Kashiwara, Myungho Kim and Se-jin Oh, Monoidal categories of modules over quantum affine algebras of type A and B, Proceedings of the London Mathematical Society, 118 (2019 January 2nd), 43-77

(18) Masaki Kashiwara, Myungho Kim, Se-jin Oh and Euiyong Park, Monoidal categories associated with strata of flag manifolds, Advances in Mathematics Volume 328, 13 April 2018, Pages 959-1009

(17) Seok-Jin Kang, Masaki Kashiwara, Myungho Kim and Se-jin Oh, Monoidal categorification of cluster algebra, Journal of American Mathematical Society, 31 (2018), 349-426

(16) Kyu-Hwan Lee and Se-jin Oh*, Catalan triangle numbers and binomial coefficients, Contemp. Math. 713 (2018), 165-185.

(15) Jang Soo Kim, Kyu-Hwan Lee, and Se-jin Oh*, Dominant maximal weights of highest weight modules and Young tableaux, Sém. Lothar. Combin. 78B (2017), Art. 25.

(14) Se-jin Oh, Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality, Journal of algebra 460 (2016), 203-252.

(13) Seok-Jin Kang, Masaki Kashiwara, Myungho Kim and Se-jin Oh, Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV, Selecta mathematica New Series. (2016). doi:10.1007/s00029-016-0267-5.

(12) Se-jin Oh, The Denominators of normalized R-matrices of types A^{(2)}_{2n-1}, A^{(2)}_{2n} , B^{(1)}_{n} and D^{(2)}_{n+1}, Publications of the Research Institute for Mathematical Sciences 51 (2015), 709--744.

(11) Seok-Jin Kang, Masaki Kashiwara, Myungho Kim and Se-jin Oh*, Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III, Proceedings of the London Mathematical Society 111 (2015), no. 2, 420--444.

(10) Se-jin Oh, Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality, Transactions of the American Mathematical Society 369 (2017), 1895--1933.

(9) Seok-Jin Kang, Masaki Kashiwara, Myungho Kim and Se-jin Oh, Simplicity of heads and socles of tensor products, Compositio Mathematica. 151 (2015), no. 2, 377--396.

(8) Se-jin Oh, The Andrews-Olsson identity and Bessenrodt insertion algorithm on Young walls, European Journal of Combinatorics 43 (2015), 8--31.

(7) Seok-Jin Kang, Masaki Kashiwara and Se-jin Oh*, Supercategorification of quantum Kac-Moody algebras II, Advances in Mathematics 265 (2014) 169-240.

(6) Se-jin Oh and Euiyong Park, Young walls and graded dimension formulas for finite quiver Hecke algebras of type A^{(2)}_{2n} and D^{(2)}_{n+1}, Journal of Algebraic Combinatorics 40 (2014) 1077-1102.

(5) Seok-Jin Kang, Masaki Kashiwara and Se-jin Oh*, Supercategorification of quantum Kac-Moody algebras, Advances in Mathematics 242 (2013) 116-162.

(4) Georgia Benkart, Seok-Jin Kang, Se-jin Oh, and Euiyong Park, Construction of Irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type, International Mathematics Research Notices 5 (2014) 1312-1366.

(3) 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) 1250116.

(2) Seok-Jin Kang, Masaki Kashiwara and Se-jin Oh*, Categorification of V (.\Lambda) over generalized Kac-Moody algebras, Moscow Mathematical Journal 13 (2013) no. 2, 315--343.

(1) 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.

*: corresponding author