Toshiya Yurikusa

Specially Appointed Assistant Professor at Osaka Metropolitan University

email: yurikusa[at]omu.ac.jp

details: researchmap (Japanise, English),  ResearchGate

Research interests

Cluster algebras

Representation theory of algebras

Publications

Toshiya Yurikusa. Denominator vectors and dimension vectors from triangulated surfaces. Journal of Algebra, 641:620--647, 2024. (arXiv)

Peigen Cao, Yasuaki Gyoda, and Toshiya Yurikusa. Bongartz completion via c-vectors. International Mathematics Research Notices, 2023(15):13099--13135, 2023. (arXiv)

Toshitaka Aoki and Toshiya Yurikusa. Complete gentle and special biserial algebras are g-tame. Journal of Algebraic Combinatorics, 57:1103--1137, 2023. (arXiv)

Pierre-Guy Plamondon and Toshiya Yurikusa. Tame algebras have dense g-vector fans. International Mathematics Research Notices, 2023(4):2701--2747, 2023. with an appendix by Bernhard Keller. (arXiv)

Toshiya Yurikusa. Acyclic cluster algebras with dense g-vector fans. In McKay Correspondence, Mutation and Related Topics, volume 88, pages 437--459. Mathematical Society of Japan, 2023. (arXiv)

Yasuaki Gyoda and Toshiya Yurikusa. F-matrices of cluster algebras from triangulated surfaces. Annals of Combinatorics, 24(4):649--695, 2020. (arXiv)

Toshiya Yurikusa. Density of g-vector cones from triangulated surfaces. International Mathematics Research Notices, 2020(21):8081--8119, 2020. (arXiv)

Toshiya Yurikusa. Combinatorial cluster expansion formulas from triangulated surfaces. The Electronic Journal of Combinatorics, 26(2):P2--33, 2019. (arXiv)

Toshiya Yurikusa. Cluster expansion formulas in type A. Algebras and Representation Theory, 22(1):1--19, 2019. (arXiv)

Toshiya Yurikusa. Wide subcategories are semistable. Documenta Mathematica, 23:35--47, 2018. (arXiv)

Preprints

Mohamad Haerizadeh and Toshiya Yurikusa. Finite-dimensional Jacobian algebras: Finiteness and tameness. arXiv:2507.04570.

Toshiya Yurikusa. Dimension vectors of τ-rigid modules and f-vectors of cluster monomials from triangulated surfaces. arXiv:2410.00133.

Toshiya Yurikusa. Denseness of g-vector cones from weighted orbifolds. to appear in Kyoto Journal of Mathematics, arXiv:2307.02282.