**Thesis**

Elliptic curves with everywhere good reduction over real quadratic fields (pdf)

**Papers**

- Determination of elliptic curves with everywhere good reduction over real quadratic fields, II, International Journal of Algebra
**16**(2022), 219-240. - The Diophantine equation X
^{3}=u+v over real quadratic fields,II, Tokyo J. Math.**44**(2021), 507-513 - The Diohphntine equtaion X
^{3}=1+9v over quadratic fields, Mem. Inst. Sci. Engrg. Ritsumeikan Univ.**77**(2018), 1-3 - Torsion groups of elliptic curves with everywhere good reducion over quadratic fields, International Journal of Algebra
**10**(2016), 461-467. - The Diohphantine eqation X
^{3}=u+v over real quadratic fields, Bull. Pol. Acad. Sci. Math.**59**(2011), 1-9 - The Diohphantine eqation X
^{3}=u+27v over real quadratic fields, Tokyo J. Math.**33**(2010), 159-163. - Elliptic curves over $Q(\sqrt2)$ with good reduction outside $\sqrt2$, Mem. Inst. Sci. Engrg. Ritsumeikan Univ.
**59**, (2000), 63-79 (2001). - Determination of elliptic curves with everywhere good reduction over real quadratic fields $Q(\sqrt{3p})$,
Acta Arith.
**96**(2001), 231-245.

(Remix version.) - Nonexistence of elliptic curves having everywhere good reduction
and cubic discriminant,
Proc. Japan Acad., Ser. A
**76**(2000), 141-142. - Determination of elliptic curves with everywhere good reduction over real quadratic fields. Arch. Math.,
**73**(1999), 25-32. (pdf) - Squares in Lucas sequences and some Diophantine equations (with Nobuhiro Terai),Manuscripta Math.
**96**(1998), 195-202. (pdf) - Determination of elliptic curves with everywhere good reduction over $Q(\sqrt{37})$,
Acta Arith.
**83**(1998), 253-269. - Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields (with Masanari Kida), J. Number Theory
**66**(1997), 201-210. - The Hasse norm principle for the maximal real subfields of cyclotomic fields,
Tokyo J. Math.
**18**(1995), 221-229.

- The Diophantine equation X^3=u+v, Symposim of Number Theory (@ Sci. and Eng. Waseda Univ.) Slides for the talk
- The Diophantine equation X^3=u+27v over real quadratic fields, Matsue Number Theory Symposium @ Shimane Univ.
- Computation of integral points over an real quadratic fields, and determitation of elliptic curves with everywhere good reduction, Symposium of Number Theory (@Sci. and Eng. Waseda University)
- Elliptic curves with everywhere good reduction over real quadratic fields, symposium "Algebra and Computational Number Theory" (@Tokyo Metroporitain University)
- Determination of elliptic curves with everywhere good reduction over certain real quadratic fields,
syposium "Algebraic number fields and related topics (@Kyoto Univ.).

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