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J-GLOBAL ID：200901017184942630 Update date: Jan. 30, 2024

Nakano Shin

ナカノシン | Nakano Shin

Affiliation and department：
Job title： Professor
Homepage URL (1)： http://www.math.gakushuin.ac.jp/~shin/

Research field (1)： Algebra

Research keywords (4)： elliptic curve , Galois group , ideal class group , algebraic number field

Research theme for competitive and other funds (13)：

2002 - 2004 Arithmetic of Cubic Fields and Elliptic Curves associated to them
2000 - 2003 Research of Iwasawa Theory fof Formal Groups
1997 - 1998 Arithmetic of Z_p-field and geometry of algebraic curves
1996 - 1997 Algebraic and Analytic Research of Transcendental Numbers
1994 - 1994 代数的数体における構造不変量の研究

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Papers (15)：

Yoshichika IIZUKA, Yutaka KONOMI, Shin NAKANO. An Application of the Arithmetic of Elliptic Curves to the Class Number Problem for Quadratic Fields. Tokyo Journal of Mathematics. 2021. 44. 1. 33-47
Yoshichika Iizuka, Yutaka Konomi, Shin Nakano. On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 2016. 68. 2. 899-915
Shin Nakano. A family of quintic cyclic fields with even class number parameterized by rational points on an elliptic curve. JOURNAL OF NUMBER THEORY. 2009. 129. 12. 2943-2951
Nakano Shin, Sase Masahiko. A Note on the Construction of Metacyclic Extensions. Tokyo Journal of Mathematics. 2002. 25. 1. 197-203
T Komatsu, S Nakano. On the Galois module structure of ideal class groups. NAGOYA MATHEMATICAL JOURNAL. 2001. 164. 133-146

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MISC (18)：

中野伸, 許斐豊. <研究報告>代数体および楕円曲線の不変量の計算と解析. 学習院大学計算機センター年報. 2021. 42. 23-27
中野伸. 整数から抽象代数学へ (特集親しもう大学数学 : 高校数学のその先へ). 数学セミナー. 2016. 55. 4. 30-33
中島匠一, 中野伸. <研究報告>ガウス整数環の素元の分布. 学習院大学計算機センター年報. 2013. 34. 23-28
中野伸, 飯塚義睦, 許斐豊. 有理等分点を持つ楕円曲線から得られる2次体のペアの類数について. 第10回北陸数論研究集会報告集. 2011. 75-84
中野伸. 類数の可除性に関する定量的な結果. 第8回北陸数論研究集会報告集. 2009. 31-41

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Books (1)：

ガロア理論 ~ その標準的な入門 ~
サイエンス社 2003

Lectures and oral presentations (4)：

類数が偶数の5次巡回体の生成
(日本数学会秋季総合分科会 2006)
イデアル類群の階数についての注意
(日本数学会年会 1999)
A note on the rank of ideal class groups
(XXI Journées Arithmétiques 1999)
A note on the rank of ideal class groups
(XXI Journées Arithmétiques 1999)

Professional career (2)：

Doctor of Science (Gakushuin University)
Doctor of Science (Gakushuin University)

Work history (11)：

2007/04 - 現在 Gakushuin University Faculty of Science
2007/04 - 現在 Faculty of Science, Gakushuin University Professor
1995/04 - 2007/03 Faculty of Science, Gakushuin University Associate Professor
1995/04 - 2007/03 Gakushuin University Faculty of Science
1993/04 - 1995/03 Faculty of Science, Nagoya University Lecturer

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Committee career (1)：

2012 - 日本数学会地方区代議員

Association Membership(s) (2)：

日本数学会 , Mathematical Society of Japan

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