Research  

Research interests 

Representation Theory, Schubert Calculus, Algebraic Combinatorics.

Papers

1. A generalization of the Murnaghan-Nakayama rule for K-k-Schur and k-Schur functions. International Mathematics Research Notices, Volume 2024, Issue 6 (2024), 4738– 4766. arXiv journal

2. A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type (with H. Dang, S. Tran, T. Do). Annals of Combinatorics, Volume 28 (2024), 155–168. arXiv journal

3. Newton polytope of good symmetric polynomials (with G. Nguyen, H. Dang, T. Do). Comptes Rendus Mathématique, Volume 361 (2023), 767–775. arXiv journal

4. On the shifted Littlewood-Richardson coefficients and Littlewood-Richardson coefficients. Annals of Combinatorics, Volume 26 (2022), 221–260. arXiv journal

Preprints

1. Branching rule on winding subalgebras of affine Kac-Moody algebras, preprint (2025). arXiv

2. Steenrod length and a problem of Vakil, preprint (2021). arXiv

3. Branching rules for winding subalgebras of the affine Kac-Moody algebras A^{(1)}_1 and A^{(2)}_2, preprint (2019). arXiv

Preparations

1. On affine Pieri rule. in progress

2. On K-Peterson isomorphism. in progress 

3. On quantum Pieri rule (with S. Naito, D. Sagaki). in progress

4. On quantum Murnaghan-Nakayama rule. in progress

5. On the shifted Littlewood-Richardson coefficients and Littlewood-Richardson coefficients, part II. in progress

Books/ Thesis

1. Méthodes algébriques et combinatoires pour les problèmes de branchement en théorie des représentations, Ph.D. thesis, 2020. link

2. Field extensions and Galois theory (translation to Vietnamese, with H. Le, after James Milne), 2017. link

Referee Service

Annals of Combinatorics, Algebraic Combinatorics, SIGMA, zbMATH Open, Mathematical Reviews, Journal of the London Mathematical Society.

Mentoring

1. VIASM Research Experiences for Undergraduates 2026 (VIASM REU), Vietnam, 2026.

2. Co-supervise (with C. Lenart) Russell Kechen Li on project: Crystal structures on King tableaux, UAlbany, USA, 2023.