I am an associate professor at Kyoto Sangyo University  

My research interests focus on commutative algebra, singularity theory and representation theory of algebras. I study these subjects from the viewpoint of Cohen-Macaulay representations (link to Google Scholar, Researchmap). 

Publications

1. Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs (with Akihiro Higashitani), McKay Correspondence, Mutation and Related Topics, Advanced Studies in Pure Mathematics Vol. 88., 2023. pp. 227--278. [journal / arXiv]

2. Lower bounds on Hilbert-Kunz multiplicities and maximal F-signatures (with Jack Jeffries, Ilya Smirnov, Kei-ichi Watanabe, and Ken-ichi Yoshida), Math. Proc. Cambridge Philos. Soc., 174 (2023), no. 2, 247--271. [journal / arXiv]

3. On 2-representation infinite algebras arising from dimer models, Q. J. Math., 73 (2022), no. 4, 1517--1553. [journal / arXiv]

4. Deformations of Dimer Models (with Akihiro Higashitani), SIGMA 18 (2022), 030, 53 pages. [journal / arXiv]

5. Generalized F-signatures of Hibi rings (with Akihiro Higashitani), Illinois J. Math., 65 (2021), no. 1. 97--120. [journal / arXiv]

6. Conic divisorial ideals of Hibi rings and their applications to non-commutative crepant resolutions (with Akihiro Higashitani), Selecta Math. (N.S.), 25 (2019), no. 78. [journal / arXiv]

7. Semi-steady non-commutative crepant resolutions via regular dimer models, Algebraic Combinatorics, 2 (2019), no. 2, 173--195. [journal / arXiv] 

8. Non-commutative crepant resolutions of Hibi rings with small class group, J. Pure Appl. Algebra, 223 (2019), no. 8, 3461--3484. [journal / arXiv] 

9. Mutations of splitting maximal modifying modules: The case of reflexive polygons, Int. Math. Res. Not. IMRN, 23 (2019), no. 2, 470--550. [journal (corrigendum) / arXiv] 

10. On steady non-commutative crepant resolutions (with Osamu Iyama), J. Noncommut. Geom. 12 (2018), no. 2, 457--471. [journal / arXiv] 

11. Dual F-signature of special Cohen-Macaulay modules over cyclic quotient surface singularities, J. Commut. Algebra, 10 (2018), no. 1, 83--105. [journal / arXiv] 

12. Ulrich modules over cyclic quotient surface singularities (with Ken-ichi Yoshida), J. Algebra, 482 (2017), 224--247. [journal / arXiv] 

13. Dual F-signature of Cohen-Macaulay modules over rational double points, Algebr. Represent. Theory, 18 (2015), 1211--1245. [journal / arXiv]

14. Generalized F-signature of invariant subrings (with Mitsuyasu Hashimoto), J. Algebra, 443 (2015), 142--152. [journal / arXiv] 

Preprints

1. Variations of GIT quotients and dimer combinatorics for toric compound Du Val singularities [arXiv]

2. Remarks on divisorial ideals arising from dimer models [arXiv]