Expository notes and Surveys

1. Height functions associated with closed subschemes ,  pdf   arXiv:2008.08153

2. Recent advances on Kawaguchi-Silverman conjecture, pdf.

3. 高次元数論力学系の諸問題(代数学シンポジウム2023の報告集), pdf.

Research papers 

1. On the Invariant Hilbert schemes and Luna’s etale slice theorem,  Manuscripta Math. 156 (2018), no. 3-4, 329--340. arXiv:1504.06806 

2. On the Hilbert schemes of finite algebras over an algebraically closed field,  Comm. Algebra 46 (2018), no. 6, 2753--2765.

3. Arithmetic degree for dynamical systems over function fields of characteristic zero (with K. Sano and  T. Shibata), Math. Z. 290 (2018), no. 3-4, 1063--1083. arXiv:1701.08937 

4. Arithmetic degrees and dynamical degrees of endomorphisms on surfaces (with K. Sano and  T. Shibata), Algebra Number Theory 12 (2018), no. 7, 1635--1657. arXiv:1701.04369 

5. Y. Matsuzawa, T. Kataoka, 信号制御の最適化のための目的関数, 数理科学実践研究レター 2018.

6. T. Kataoka, Y. Matsuzawa, 局所最適な信号制御とその大域化, 数理科学実践研究レター 2018.

7.  Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties (with K. Sano), Ergod. Theory and Dyn. Sys., 40 (2020), no. 6, 1655–1672. arXiv:1802.03173 

8. On upper bounds of arithmetic degrees, Amer. J. Math., 142 (2020), no. 6, 1797–1820. arXiv:1606.00598 

9. Arithmetic and dynamical degrees of rational self-maps on algebraic varieties, to appear in RIMS Kokyuroku Bessatsu.

10. Kawaguchi-Silverman conjecture for endomorphisms on several classes of varieties, Adv. Math., 366 (2020), 107086, 26 pp. arXiv:1902.06072 

11. Int-amplified endomorphisms on normal projective surfaces (with Shou Yoshikawa), Taiwanese J. Math. 25 (2021), no. 4, 681–697. arXiv:1902.06071 

12. Kawaguchi-Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphism (with Shou Yoshikawa), Math. Ann. 382 (2022), no. 3-4, 1681--1704. arXiv:1908.11537

13. Non-density of points of small arithmetic degrees (with S. Meng, T. Shibata, and D.-Q. Zhang), J. Geom. Anal. 33 (2023), no. 4, Paper No. 112, 41 pp. arXiv:2002.10976

14. A note on  Kawaguchi-Silverman conjecture (with S. Li), Internat. J. Math. 32 (2021), no. 11, Paper No. 2150085, 12 pp.  arXiv:2003.01161 

15. Growth of local height functions along orbits of self-morphisms on projective varieties, Int. Math. Res. Not. IMRN (2023), no. 4, 3533--3575. arXiv:2005.08093

16. Invariant subvarieties with small dynamical degree (with S.Meng, T.Shibata, D.-Q. Zhang, and G. Zhong), Int. Math. Res. Not. IMRN (2022), no. 15, 11448--11483. arXiv:2005.13368

17. The Distribution Relation and Inverse Function Theorem in Arithmetic Geometry (with J. H. Silverman),  J. Number Theory, Volume 226, September 2021, Pages 307-357. arXiv:2008.08149

18. Vojta's conjecture, heights associated with subschemes, and primitive prime divisors in arithmetic dynamics, to appear in Algebra Number Theory, arXiv:2012.04693

19. On dynamical cancellation (with J.P. Bell and M. Satriano),  Int. Math. Res. Not. IMRN (2023), no. 8, 7099--7139. arXiv:2106.11544

20. Arithmetic degrees and Zariski dense orbits of cohomologically hyperbolic maps (with L. Wang), Trans. Amer. Math. Soc. 377 (2024), no. 9, 6311--6340. arXiv:2212.05804

21. Distribution of rational points on random Fano hypersurfaces (with Y. Suzuki), to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), arXiv:2310.13408

22. On preimages question (with K. Sano), arXiv:2311.02906

23. Existence of arithmetic degrees for generic orbits and dynamical Lang-Siegel problem, to appear in J. Reine Angew. Math.  arXiv:2407.03097

24. Arithmetic degree and its application to Zariski dense orbit conjecture (with J. Xie), J. London Math. Soc. 112 (2025), no. 3, https://doi.org/10.1112/jlms.70282,  arXiv:2409.06160

25. Growth of generalized greatest common divisors along orbits of self-rational maps on projective varieties, arXiv:2507.05027