Papers


Preprint

10. Lattice structure in cluster algebra of finite type and non-simply-laced Ingalls-Thomas bijection
arXiv:2211.08935

9. Generalization of Markov Diophantine equation via generalized cluster algebra
joint work with Kodai Matsushita
arXiv:2201.10919

8. Positive integer solutions to (x+y)2+(y+z)2+(z+x)2=12xyz
arXiv:2109.09639

7. Positive cluster complexes and τ-tilting simplicial complexes of cluster-tilted algebras of finite type
arXiv:2105.07974


Published

6. Bongartz completion via c-vectors
joint work with Peigen Cao and Toshiya Yurikusa
International Mathematics Research Notices, online first. | arXiv:2106.11668

5. Cluster duality between Calkin-Wilf tree and Stern-Brocot tree
Advanced Studies in Pure Mathematics, to appear. | arXiv:2009.06473

4. Compatibility degree of cluster complexes
joint work with Changjian Fu
Annales de l’institut Fourier, to appear. | 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)