Research
Research interests
Representation Theory, Schubert Calculus, Algebraic Combinatorics.
Papers
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
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
Newton polytope of good symmetric polynomials (with G. Nguyen, H. Dang, T. Do). Comptes Rendus Mathématique, Volume 361 (2023), 767–775. arXiv journal
On the shifted Littlewood-Richardson coefficients and Littlewood-Richardson coefficients. Annals of Combinatorics, Volume 26 (2022), 221–260. arXiv journal
Preprints
Branching rule on winding subalgebras of affine Kac-Moody algebras, preprint (2025). arXiv
Steenrod length and a problem of Vakil, preprint (2021). arXiv
Branching rules for winding subalgebras of the affine Kac-Moody algebras A^{(1)}_1 and A^{(2)}_2, preprint (2019). arXiv
Preparations
On affine Pieri rule. in progress
On K-Peterson isomorphism (with C. Lenart, S. Naito, D. Sagaki). in progress
On quantum Pieri rule (with S. Naito, D. Sagaki). in progress
On quantum Murnaghan-Nakayama rule. in progress
On the shifted Littlewood-Richardson coefficients and Littlewood-Richardson coefficients, part II. in progress
Books/ Thesis
Méthodes algébriques et combinatoires pour les problèmes de branchement en théorie des représentations, Ph.D. thesis, 2020. link
Field extensions and Galois theory (translation to Vietnamese, with H. Le, after James Milne), 2017. link
Referee Service
Mentoring
VIASM Research Experiences for Undergraduates 2026 (VIASM REU), Vietnam, 2026.
Co-supervise (with C. Lenart) Russell Kechen Li on project: Crystal structures on King tableaux, UAlbany, USA, 2023.