Papers
Preprint
12. SL(2,Z)-matrixizations of generalized Markov numbers
joint work with Shuhei Maruyama and Yusuke Sato
arXiv:2407.08203
11. Uniqueness theorem of generalized Markov numbers that are prime powers
joint work with Shuhei Maruyama
arXiv:2312.07329
10. Lattice structure in cluster algebra of finite type and non-simply-laced Ingalls-Thomas bijection
arXiv:2211.08935
9. Positive integer solutions to
arXiv:2109.09639
Published
8. Generalization of Markov Diophantine equation via generalized cluster algebra
joint work with Kodai Matsushita
Electronic Journal of Combinatorics 30 (2023), P4.10. | arXiv:2201.10919
7. Positive cluster complexes and τ-tilting simplicial complexes of cluster-tilted algebras of finite type
Communications in Algebra, 51 (2023), 2830–2876. | arXiv:2105.07974
6. Bongartz completion via c-vectors
joint work with Peigen Cao and Toshiya Yurikusa
International Mathematics Research Notices, 2023 (2023), 13099–13135. | arXiv:2106.11668
5. Cluster duality between Calkin-Wilf tree and Stern-Brocot tree
Advanced Studies in Pure Mathematics, 88 (2023), 491–516. | arXiv:2009.06473
4. Compatibility degree of cluster complexes
joint work with Changjian Fu
Annales de l’institut Fourier, online first. | arXiv:1911.07193
3. Relation between f-vectors and d-vectors in cluster algebras of finite type or rank 2
Annals of Combinatorics, 25 (2021), 573–594. | arXiv:1904.00779
2. F-matrices of cluster algebras from triangulated surfaces
joint work with Toshiya Yurikusa
Annals of Combinatorics 24 (2020), 649–695.| arXiv:1902.09317
1. Duality between Final-Seed and Initial-Seed Mutations in Cluster Algebras
joint work with Shogo Fujiwara
SIGMA 15 (2019), 040, 24 pages. | arXiv:1808.02156
Thesis
Master’s thesis (Modified version):
団代数におけるF行列 (F-matrices in cluster algebras) (Japanese)