# Jang Soo Kim

## Home

Associate Professor Department of Mathematics Sungkyunkwan University (SKKU) 2066 Seobu-ro, Jangan-gu Suwon, Gyeonggi-do 16419 South Korea Office: 31256B in Natural Science Building #1 Email: name@skku.edu, where name=jangsookim

## Papers

### Preprints

- Three families of
*q*-Lommel polynomials (with Dennis Stanton), arXiv:2105.10096 - Refined canonical stable Grothendieck polynomials and their duals (with Byung-Hak Hwang, Jihyeug Jang, Minho Song, and U-Keun Song), arXiv:2104.04251
- Enumeration of Gelfand–Cetlin type reduced words (with Yunhyung Cho and Eunjeong Lee), arXiv:2009.06906
- Jacobi–Trudi formulas for flagged refined dual stable Grothendieck polynomials, arXiv:2008.12000
- Enumeration of standard barely set-valued tableaux of shifted shapes (with Michael Schlosser and Meesue Yoo), arXiv:2006.03253
- Weight multiplicities and Young tableaux through affine crystals (with
Kyu-Hwan Lee and Se-jin Oh), to appear in
*Memoirs of the AMS*, arXiv:1703.10321 - Symmetric Pascal matrices and related graphs (with Gi-Sang Cheon, Seyed Ahmad Mojallal, Meesue Yoo), to appear in Linear and Multilinear Algebra
- Orthogonal polynomials of type \(R_I\) (with Dennis Stanton), to appear in Ramanujan Journal, arXiv:2009.14475

### 2021

- Generalized Schur function determinants using the Bazin identity (with Meesue Yoo), SIAM J. Discrete Math. 35 (2021), no. 3, 1650–1672, arXiv:2012.08741
- Whitney numbers for poset cones (with Galen Dorpalen-Barry and Vic Reiner), Order 38 (2021), no. 2, 283–322, arXiv:1906.00036
- Jacobi–Trudi formula for refined dual stable Grothendieck polynomials,
*J. Combin. Theory Ser. A*180 (2021), 105415, arXiv:2003.00540 - Volumes of generalized Chan-Robbins-Yuen polytopes (with Sylvie Corteel and
Karola Meszaros),
*Discrete & Computational Geometry*, 65, 510–530 (2021), arXiv:1704.02701

### 2020

- Volumes of flow polytopes related to caracol graphs (with Jihyeug Jang),
*Electronic J. Combin.*27(4)(2020), #P4.21, arXiv:1911.10703 - Lecture hall tableaux (with Sylvie Corteel),
*Adv. Math.*371 (2020) 107266, arXiv:1804.02489 - On linearization coefficients of
*q*-Laguerre polynomials (with Byung-Hak Hwang, Jaeseong Oh and Sang-Hoon Yu),*Electronic J. Combin.*27(2)(2020), #P2.22, arXiv:2001.01930 - Enumeration of bounded lecture hall tableaux (with Sylvie Corteel),
*Séminaire Lotharingien de Combinatoire*B81f (2020), 28 pp, arXiv:1904.10602 - Product formulas for certain skew tableaux (with Meesue Yoo),
*European J. Combin.*84 (2020), 103038, arXiv:1806.01525

### 2019

- Reverse plane partitions of skew staircase shapes and
*q*-Euler numbers (with Byung-Hak Hwang, Meesue Yoo and Sun-mi Yun),*J. Combin. Theory Ser. A*168 (2019), 120–163, arXiv:1711.02337 - Hook length property of
*d*-complete posets via*q*-integrals (with Meesue Yoo),*J. Combin. Theory, Ser. A*162 (2019), 167-221, arXiv:1708.09109

### 2018

- Proof of Chapoton's conjecture on Newton polygons of
*q*-Ehrhart polynomials (with U-Keun Song),*Electronic J. Combin.*25(2)(2018), #P2.51 arXiv:1704.05621 - Spectral properties of Pascal graphs (with Gi-Sang Cheon and Seyed Ahmad
Mojallal),
*Linear and Multilinear Algebra*66 (2018), 1403-1417 - On the
*f*-vectors of Gelfand-Cetlin polytopes (with Byung Hee An and Yunhyung Cho),*European J. Combin.*67 (2018), 61-77, arXiv:1606.05957

### 2017

- Colored permutations with no monochromatic cycles (with Dongsu Kim and
Seunghyun Seo),
*J. Korean Math. Soc.*54 (2017), No. 4, pp. 1149–1161 - Flow polytopes with Catalan volumes (with Sylvie Corteel and Karola
Meszaros),
*Comptes Rendus Mathematique*355(3) (2017), 248–259, arXiv:1612.00102 - On
*q*-integrals over order polytopes (with Dennis Stanton),*Adv. Math.*308(21) (2017), 1269–1317, arXiv:1608.03342 - A new
*q*-Selberg integral, Schur functions, and Young books (with Soichi Okada),*Ramanujan Journal*42 (2017), 43-57, arXiv:1412.7914 - The Selberg integral and Young books (with Suho Oh),
*J. Combin. Theory Ser. A*145 (2017), 1–24, arXiv:1409.1317

### 2016

- Moments of orthogonal polynomials and combinatorics (with Sylvie Corteel
and Dennis Stanton), a book chapter,
*IMA Volumes in Mathematics and its Applications*Vol. 159, Springer - Combinatorial proof of a partial theta function identity of Warnaar (with
Kathy Ji and Byungchan Kim),
*Int. J. Number Theory*12, 1475-1482 (2016) - Generalized Dyck tilings (with Matthieu Josuat-Vergès),
*European J. Combin.*51 (2016), 458–474, arXiv:1410.1270

### 2015

- The combinatorics of associated Laguerre polynomials (with Dennis Stanton),
*SIGMA*11 (2015), 039, arXiv:1501.03880 - Bootstrapping and Askey-Wilson polynomials (with Dennis Stanton),
*J. Math. Anal. Appl.*, 421 (2015), 501-520, arXiv:1403.0053

### 2014

- Moments of Askey-Wilson polynomials (with Dennis Stanton),
*J. Combin. Theory Ser. A*125 (2014), 113-145, arXiv:1207.3446 - Annular noncrossing permutations and minimal transitive factorizations
(with Seunghyun Seo and Heesung Shin),
*J. Combin. Theory Ser. A*124 (2014), 251–262, arXiv:1201.5703 - Dyck tilings, increasing trees, descents, and inversions (with Karola
Mészáros, Greta Panova, David B. Wilson),
*J. Combin. Theory Ser. A*122 (2014), 9-27, arXiv:1205.6578

### 2013

- Crossings of signed permutations and
*q*-Eulerian numbers of type B (with Sylvie Corteel and Matthieu Josuat-Vergès),*Journal of Combinatorics*4 (2013), no. 2, 191-228, arXiv:1203.0154 - Cyclic sieving phenomenon on annular noncrossing permutations,
*Seminaire Lotharingien de Combinatoire*B69b (2013), 20 pp, arXiv:1210.7353 - Bijections on rooted trees with fixed size of maximal decreasing subtrees,
*Annals of Combinatorics*17 (2013), no. 2, 339-352, arXiv:1108.6038 - Touchard-Riordan formulas, T-fractions, and Jacobi's triple product
identity (with Matthieu Josuat-Vergès),
*Ramanujan J.*30 (2013), no. 3, 341-378, arXiv:1101.5608

### 2012

- Enumeration formulas for generalized
*q*-Euler numbers,*Adv. App. Math.*49 (2012), 326-350, arXiv:1104.4584 - Proofs of two conjectures of Kenyon and Wilson on Dyck tilings,
*J. Combin. Theory Ser. A*119 (2012), 1692-1710, arXiv:1108.5558

### 2011

- Combinatorial rigidity of 3-dimensional simplicial polytopes (with Suyoung
Choi),
*Int. Math. Res. Notices*2011 (2011), 1935-1951, arXiv:1002.0828 - Bijections on two variations of noncrossing partitions,
*Discrete Math.*, 311 (2011), 1057-1063, arXiv:0812.4091 - Front representation of set partitions,
*SIAM J. Discrete Math.*25 (2011), 447-461, arXiv:0907.1485 - Combinatorics on permutation tableaux of type A and type B (with Sylvie
Corteel),
*European J. Combin.*32 (2011), 563-579, arXiv:1006.3812 - New interpretations for noncrossing partitions of classical types,
*J. Combin. Theory Ser. A*118 (2011), 1168-1189, arXiv:0910.2036 *q*-analog of tableau containment,*J. Combin. Theory Ser. A*118 (2011),1021-1038, arXiv:0812.1256- Chain enumeration of
*k*-divisible noncrossing partitions of classical types,*J. Combin. Theory Ser. A*118 (2011), 879-898, arXiv:0908.2641

### 2010

- A note on 2-distant noncrossing partitions and weighted Motzkin paths (with
Ira M. Gessel),
*Discrete Math.*310 (2010), 3421-3425, arXiv:1003.5301 - A combinatorial approach to the power of 2 in the number of involutions
(with Dongsu Kim),
*J. Combin. Theory Ser. A*117 (2010), 1082-1094, arXiv:0902.4311 - A note on the total number of cycles of even and odd permutations,
*Discrete Math.*310 (2010), 1398-1400, arXiv:0909.0683 - A combinatorial proof of a formula for Betti numbers of a stacked polytope
(with Suyoung Choi),
*Electron. J. Combin.*17 (2010), #R9, arXiv:0902.2444 - Skew domino Schensted algorithm and sign-imbalance,
*European J. Combin.*31 (2010), 210-229, arXiv:0711.1035

### 2009

*k*-distant crossings and nestings of matchings and partitions (with Dan Drake),*DMTCS proc., AK (FPSAC 2009)*349-360, arXiv:0812.2725

### 2007

- The initial involution patterns of permutations (with Dongsu Kim),
*Electron. J. Combin.*14 (2007), #R2

### Unpublished manuscript

- Ratios of Hahn-Exton
*q*-Bessel functions and*q*-Lommel polynomials (with Dennis Stanton), arXiv:2006.08120

## Collaborators

- Byung Hee An
- Gi-Sang Cheon
- Yunhyung Cho
- Suyoung Choi
- Sylvie Corteel
- Galen Dorpalen-Barry
- Dan Drake
- Ira M. Gessel
- Byung-Hak Hwang
- Jihyeug Jang
- Kathy Ji
- Matthieu Josuat-Vergès
- Byungchan Kim
- Dongsu Kim
- Eunjeong Lee
- Kyu-Hwan Lee
- Karola Mészáros
- Seyed Ahmad Mojallal
- Jaeseong Oh
- Se-jin Oh
- Suho Oh
- Soichi Okada
- Greta Panova
- Vic Reiner
- Michael Schlosser
- Seunghyun Seo
- Heesung Shin
- Minho Song
- U-Keun Song
- Dennis Stanton
- David B. Wilson
- Meesue Yoo
- Sang-Hoon Yu
- Sun-mi Yun

## Lecture Videos

### \(\mathrm{\LaTeX}\) in Visual Studio Code

- This is a course that I taught online in December 2020. We learn how to use \(\mathrm{\LaTeX}\) in Visual Studio Code.
- Poster
- Lecture Homepage
- Link to lecture videos

### Topics in Combinatorics: The Theory of Alternating Sign Matrices

- link to videos
- This is a graduate course that I taught at Sungkyunkwan University in 2017. We closely follow the book: Proofs and Confirmations - The Story of the Alternating Sign Matrix Conjecture by Bressoud.

### Representation Theory (in Korean)

- link to videos
- This is a graduate course on Representation Theory that I taught at Sungkyunkwan University in 2018. We cover Lectures 1~6 of the textbook Representation Theory, A First Course, by Fulton and Harris.

### Lie Groups and Lie Algebras

- link to videos
- This is a graduate course that I taught at Sungkyunkwan University in 2019. We closely follow Chapters 1-10 of the textbook: Lie Groups, Lie Algebras, and Representations, 2nd ed, by Brian C. Hall.

### Discrete Mathematics

- link to videos
- This is an undergraduate course on Discrete Mathematics that I taught at Sungkyunkwan University in 2017. We cover Chapters 1-9 of Discrete Mathematics by Johnsonbaugh, 7th edition.

### Introduction to Combinatorics

- link to videos
- This is an undergraduate course on Combinatorics that I taught at Sungkyunkwan University in 2016. We cover Chapters 1-6 in the textbook: Combinatorics Through Guided Discovery by Kenneth P. Bogart.