Published
10. Irreducibility of polynomials defining parabolic parameters of period 3 (with J. Koizumi, Y. Murakami, and K.Takehira), to appear in Acta. Arith.
9. Northcott numbers for generalized weighted Weil heights (with M. Okazaki),
to appear in Acta. Arith.
8. Zariski density of points with maximal arithmetic degree for surfaces (with T. Shibata),
to appear in RIMS kokyuroku bessatsu
7. Northcott numbers for the weighted Weil heights (with M. Okazaki),
Rend. Lincei Mat. Appl. 34 (2023), 127--144.
6. Zariski density of points with maximal arithmetic degree (with T. Shibata), Michigan Math. J. 73 (2) 429 - 448, May 2023.
5. Arithmetic and dynamical degrees of self-morphisms of semi-abelian varieties (with Y. Matsuzawa), Ergodic Theory Dynam. Systems, 40 (2020), no. 6, 1655--1672.
4. Dynamical degree and arithmetic degree of endomorphisms on product varieties, Tohoku Math. J. (2), 72 (2020), no. 1, 1--13.
3. Arithmetic degrees and dynamical degrees of endomorphisms on surfaces (with Y. matsuzawa and T. Shibata), Algebra Number Theory, 12 (2018), no.7, 1635--1657.
2. Growth rate of ample heights and the dynamical Mordell-Lang conjecture, Int. J. Number Theory, 14 (2018), no. 10, 2673--2685.
1. Arithmetic degrees for dynamical systems over function fields of characteristic zero (with Y. Matsuzawa and T. Shibata), Math Z., 290 (2018), no.3-4, 1063--1083.
Preprints
5. Asymptotic Gate Count Bounds for Ancilla-Free Single-Qubit Synthesis with Arithmetic Gates (with H. Morisaki ans S. Akibue)
4. Optimal ancilla-free Clifford+T synthesis for general single-qubit unitaries (with H. Morisaki ans S. Akibue)
3. Arithmetic properties of multiplier polynomials for certain polynomial maps (with Y. Murakami and K. Takehira)
2. On preimages question (with Y. Matsuzawa)