Jihyeug Jang's homepage
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I am currently a post-doctoral researcher at the University of Geneva, working with Jehanne Dousse. I completed my Ph.D. at Sungkyunkwan University under the supervision of Jang Soo Kim.
- Email: jihyeugjang at gmail dot com
- Curriculum Vitae
Research Interests
Algebraic combinatorics and enumerative combinatorics, with a focus on:
- Symmetric functions
- Orthogonal polynomials
- Partition theory
- Riordan arrays
Papers
Preprints
- (with Jehanne Dousse) Andrews–Gordon type identities with parity restrictions through particle motion
- (with Jehanne Dousse, Frédéric Jouhet) Andrews–Gordon and Stanton type identities: bijective and Bailey lemma approaches
- arXiv:2507.13239v1
- to appear in FPSAC 2026
- (with Benedek Dombos) Grounded partitions of type \(A^{(1)}_1\) at levels 1 and 2: bijections, affine crystal graphs, and partition identities
Published
- (with Jang Soo Kim, Jianping Pan, Joseph Pappe, Anne Schilling) Hook-valued tableau uncrowding and tableau switching
- (with Minho Song) Combinatorics of orthogonal polynomials on the unit circle
- (with Byung-Hak Hwang, Jang Soo Kim, Minho Song, U-Keun Song) Refined canonical stable Grothendieck polynomials and their duals, Part 2
- (with Louis W. Shapiro, Minho Song) Combinatorial Reciprocity for Riordan Arrays
- (with Mark Kempton, Sooyeong Kim, Adam Knudson, Neal Madras, Minho Song) Kemeny's constant and enumerating Braess edges in trees
- (with Byung-Hak Hwang, Jang Soo Kim, Minho Song, U-Keun Song) Refined canonical stable Grothendieck polynomials and their duals, Part 1
- (with Byung-Hak Hwang, Jaeseong Oh) A combinatorial model for the transition matrix between the Specht and \( SL_2 \)-web bases
- (with Sooyeong Kim, Minho Song) Kemeny’s constant and Wiener index on trees
- (with Donghyun Kim, Jang Soo Kim, Minho Song, U-Keun Song) Negative moments of orthogonal polynomials
- (with Jang Soo Kim) Volumes of flow polytopes related to caracol graphs
Talks and posters
Upcoming
- Particle motion methods for Andrews–Gordon and Stanton type identities (poster), FPSAC 2026, University of Washington, USA, July 13-17, (2026)
- TBA, Combinatorics/Partition Seminar, Penn State University, April 28, (2026)
2026
- Grounded partitions, CART Seminar (KIAS, SKKU), Online, Mar 20, (2026)
- Refined canonical stable Grothendieck polynomials, Séminaire Combinatoire et Théorie des Nombres ICJ, Université Lyon 1, France, Mar 10, (2026)
- Grounded partitions of type \( A_1^{(1)} \) at levels \( 1 \) and \( 2 \), Special seminar, Sungkyunkwan University, Korea, Jan 20, (2026)
- Decompositions of integer powers via the Catalan and Motzkin arrays and odd-indexed Fibonacci numbers, Joint Mathematics Meetings 2026, Washington, D.C., USA, Jan 4-7, (2026)
2025
- Andrews–Gordon and Stanton type identities: bijective and Bailey lemma approaches, SLC 94, Bad Boll, Germany, Sep 14-17, (2025)
- Andrews–Gordon and Stanton type identities: bijective and Bailey lemma approaches, Special seminar, Sungkyunkwan University, Korea, Aug 1, (2025)
- A hidden symmetry of refined canonical stable Grothendieck polynomials (poster), FPSAC 2025, Hokkaido Univerisy, Sapporo, Japan, Jul 21-25, (2025)
2024
- Combinatorics of the orthogonal polynomials on the unit circle, Workshop on Combinatorics and Probability, Korea, Jun 27-28, (2024)
- Combinatorial reciprocity for Riordan arrays, 1st Combinatorics Seminar for Young Researchers, Inha University, Korea, Jun 19, (2024)
- Combinatorial reciprocity for Riordan arrays, 9th International Symposium on Riordan Arrays and Related Topics, Howard University, USA, Jun 3-5, (2024)
- Lattice on permutation tableaux, Topology and Combinatorics seminar at Ajou University, Online, May 16, (2024)
- A trim lattice on permutation tableaux, 2024 KMS Spring Meeting, Korea, Apr 18-20, (2024)
2023
- Refined canonical stable Grothendieck polynomials and their duals (poster), FPSAC 2023, UC Davis, California, USA, Jul 17-21, (2023)
- Volumes of flow polytopes related to caracol graphs, Séminaire DGeCo, Sorbonne Université, France, Apr 18, (2023)
- Negative moments of orthogonal polynomials, Journée-séminaire de combinatoire, Université Paris 13, France, Apr 11, (2023)
- Negative moments of orthogonal polynomials (poster), 89th Séminaire Lotharingien de Combinatoire and Brenti Fest, Centro Residenziale Universitario di Bertinoro, Italy, Mar 26-29, (2023)
- On sequences related to the pallet loading problem, AORC Monthly Seminar, Online, Jan 27, (2023)
2022
- On sequences related to the pallet loading problem, The 26th KIAS Workshop on Combinatorics, Shilla Stay Haeundae, Korea, Dec 20-22, (2022)
- A combinatorial model for the transition matrix between the Specht and web bases, Physical Algebra and Combinatorics Seminar, Online, Aug 12, (2022)
- A combinatorial model for the transition matrix between the Specht and web bases (poster), FPSAC 2022, Indian Institute of Science, Bangalore, India, Jul 18-22, (2022)
2021
- A combinatorial model for the transition matrix between the Specht and web bases, One-day workshop on web bases, Online, Dec 16, (2021)
- Refined canonical stable Grothendieck polynomials and their duals, 2021 Annual Meeting on the Kangwon-Kyungki Mathematical Society, Korea, Jul 16, (2021)
- Volumes of flow polytopes related to the caracol graphs, CanaDAM 2021 – Online Meeting, Online, May 25-28, (2021)
- A permutation interpretation of the transition matrix between the polytabloid and web bases, 2021 KMS Spring Meeting, Online, Apr 29-30, (2021)
2019
- Computing volumes of flow polytopes using labeled Dyck paths, 2019 Combinatorics Workshop, Songdo, Incheon, Korea, Aug 13-15, (2019)
- Computing volumes of flow polytopes using labeled Dyck paths, 2019 Annual Meeting on the Kangwon-Kyungki Mathematical Society, Daegu, Korea, Jun 28-30, (2019)
- Combinatorial proof of two constant term identities, Workshop on Algebraic and Enumerative Combinatorics, Shinshu University, Japan, Jan 15-17, (2019)