Se-jin Oh's Homepage

                             
                                                   
                                                                                      (My son, Eun-Seok, was born in 8/20/14)

Name: Se-jin Oh.
Position: Assistance professor.
Affiliation: Department of Mathematics Ewha Womans University Seoul 120-750, 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

5. [2016.2-] 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.

Research Interest

Categorifical representation theory, Combinatorial representation theory.

Now I am working on...

2016.06.01 I and my co-worker Masaki Kashiwara are preparing the Langlands duality between untwisted and doubly twisted quantum affine algebras.

2016.3.23 computed the denominator formulas for G^{(1)}_2. 

2016.2.12 I and my co-worker UhiRinn Suh are preparing the twisted versions of our previous works.

2015.10.14 I and my co-worker Prof. Kyu-Hwan Lee found interesting identities between the Catalan triangle and Pascal triangle.

2015.07.22 I computed the denominator formulas for D^{(3)}_4. Hence one can obtain the exact functor among C_Q(D_4^{(i)}) (i=1,2,3).


List of Publications

Submitted or Preprint

(26) Se-jin Oh, Travis Scrimshaw, Identities from representation theory,  arXiv:1805.00113

(25) Jang Soo Kim, Kyu-Hwan Lee and Se-jin Oh*, Weight multiplicities and Young tableaux through affine crystals, arXiv:1703.10321

(24) Se-jin Oh and UhiRinn Suh, Twisted Coxeter elements and folded AR-quivers via Dynkin diagram automorphisms: II, arXiv:1606.00102

(23) Se-jin Oh* and UhiRinn Suh, Twisted Coxeter elements and folded AR-quivers via Dynkin diagram automorphisms: I, arXiv:1606.00076


Published or accepted for publication

(22) Se-jin Oh and UhiRinn SuhCombinatorial Auslander-Reiten quiver related to reduced expression, to be appeared in JKMS.

(21) Se-jin Oh, Travis Scrimshaw, Categorical relations between Langlands dual quantum affine algebras: Exceptional cases, to be appeared in Communications in Mathematical Physics.

(20) Masaki Kashiwara and Se-jin Oh*, Categorical relations between Langlands dual quantum affine algebras: Doubly laced types, Journal of Algebraic Combinatorics (2018) https://doi.org/10.1007/s10801-018-0829-z

(19) Se-jin Oh, Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality, Mathematische Zeitschrift (2018)  https://doi.org/10.1007/s00209-018-2093-2

(18) Masaki Kashiwara, Myungho Kim and Se-jin Oh, Monoidal categories of modules over quantum affine algebras of type A and BProceedings of the London Mathematical Society (2018) doi:10.1112/plms.12160

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

(16) 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 

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

(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

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