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

1. Denominator vectors and dimension vectors from triangulated surfaces

Toshiya Yurikusa

Journal of Algebra, 641:620--647, 2024 (arXiv)

2. Bongartz completion via c-vectors

Peigen Cao, Yasuaki Gyoda, and Toshiya Yurikusa

International Mathematics Research Notices, 2023(15):13099--13135, 2023 (arXiv)

3. Complete gentle and special biserial algebras are g-tame

Toshitaka Aoki and Toshiya Yurikusa

Journal of Algebraic Combinatorics, 57:1103--1137, 2023 (arXiv)

4. Tame algebras have dense g-vector fans

Pierre-Guy Plamondon and Toshiya Yurikusa, with an appendix by Bernhard Keller

International Mathematics Research Notices, 2023(4):2701--2747, 2023 (arXiv)

5. Acyclic cluster algebras with dense g-vector fans

Toshiya Yurikusa

In McKay Correspondence, Mutation and Related Topics, volume 88, pages 437--459. Mathematical Society of Japan, 2023 (arXiv)

6. F-matrices of cluster algebras from triangulated surfaces

Yasuaki Gyoda and Toshiya Yurikusa

Annals of Combinatorics, 24(4):649--695, 2020 (arXiv)

7. Density of g-vector cones from triangulated surfaces

Toshiya Yurikusa

International Mathematics Research Notices, 2020(21):8081--8119, 2020 (arXiv)

8. Combinatorial cluster expansion formulas from triangulated surfaces

Toshiya Yurikusa

The Electronic Journal of Combinatorics, 26(2):P2--33, 2019 (arXiv)

9. Cluster expansion formulas in type A

Toshiya Yurikusa

Algebras and Representation Theory, 22(1):1--19, 2019 (arXiv)

10. Wide subcategories are semistable

Toshiya Yurikusa

Documenta Mathematica, 23:35--47, 2018 (arXiv)

Preprints

1. Finite-dimensional Jacobian algebras: Finiteness and tameness

Mohamad Haerizadeh and Toshiya Yurikusa

arXiv:2507.04570

2. Dimension vectors of τ-rigid modules and f-vectors of cluster monomials from triangulated surfaces

Toshiya Yurikusa

arXiv:2410.00133

3. Denseness of g-vector cones from weighted orbifolds

Toshiya Yurikusa

to appear in Kyoto Journal of Mathematics, arXiv:2307.02282