Research
Research interests
Representation Theory, Schubert Calculus, Algebraic Combinatorics.
Publications and Preprints
On affine Pieri rule. in progress
On K-Peterson isomorphism (with S. Naito). 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
Branching rule on winding subalgebras of affine Kac-Moody algebras, preprint (2025). arXiv
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
Longest paths related to Steenrod length of real projective spaces, preprint (2021). arXiv
Branching problem on winding subalgebras of affine Kac-Moody algebras A^(1)_1 and A^(2)_2, preprint (2019). arXiv
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
Annals of Combinatorics, Algebraic Combinatorics, SIGMA, zbMATH Open, Mathematical Reviews.
Mentoring
Co-supervise (with C. Lenart) Russell Kechen Li on project: Crystal structures on King tableaux, UAlbany, USA, 2023.