Researcher List Shin Nakano Shin Nakano (中野 伸) Please select the form format to download from below 「Education and research environment」format 「No. 4, the Ministry of Education document style ①Outline for Vitae」format 「No. 4, the Ministry of Education document style ②Education and research environment」format Profile Information AffiliationProfessor, Faculty of Science Department of Mathematics, Gakushuin UniversityDegreeDoctor of Science(Gakushuin University)Doctor of Science(Gakushuin University)J-GLOBAL ID200901017184942630researchmap Member ID1000210681External linkhttp://www.math.gakushuin.ac.jp/~shin/ Research Interests 4 elliptic curve Galois group ideal class group algebraic number field Research Areas 1 Natural sciences / Algebra / Research History 11 Apr, 2007 - Present Faculty of Science, Gakushuin University Apr, 2007 - Present Professor, Faculty of Science, Gakushuin University Apr, 1995 - Mar, 2007 Associate Professor, Faculty of Science, Gakushuin University Apr, 1995 - Mar, 2007 Faculty of Science, Gakushuin University Apr, 1993 - Mar, 1995 Lecturer, Faculty of Science, Nagoya University More Committee Memberships 1 2012 地方区代議員, 日本数学会 Papers 15 An Application of the Arithmetic of Elliptic Curves to the Class Number Problem for Quadratic Fields Yoshichika IIZUKA, Yutaka KONOMI, Shin NAKANO Tokyo Journal of Mathematics, 44(1) 33-47, Jun, 2021 Peer-reviewed On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves Yoshichika Iizuka, Yutaka Konomi, Shin Nakano JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(2) 899-915, Apr, 2016 Peer-reviewed A family of quintic cyclic fields with even class number parameterized by rational points on an elliptic curve Shin Nakano JOURNAL OF NUMBER THEORY, 129(12) 2943-2951, Dec, 2009 Peer-reviewed A Note on the Construction of Metacyclic Extensions Nakano Shin, Sase Masahiko Tokyo Journal of Mathematics, 25(1) 197-203, 2002 Peer-reviewed On the Galois module structure of ideal class groups T Komatsu, S Nakano NAGOYA MATHEMATICAL JOURNAL, 164 133-146, Dec, 2001 Peer-reviewed More Misc. 18 <研究報告>代数体および楕円曲線の不変量の計算と解析 中野 伸, 許斐 豊 学習院大学計算機センター年報, 42 23-27, Jul, 2021 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) 中野 伸 数学セミナー, 55(4) 30-33, Apr, 2016 <研究報告>ガウス整数環の素元の分布 中島 匠一, 中野 伸 学習院大学計算機センター年報, 34 23-28, Jul, 2013 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 中野 伸, 飯塚義睦, 許斐豊 第10回北陸数論研究集会報告集, 75-84, 2011 類数の可除性に関する定量的な結果 中野 伸 第8回北陸数論研究集会報告集, 31-41, 2009 More Books and Other Publications 1 ガロア理論 ~ その標準的な入門 ~ サイエンス社, 2003 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 Memberships 2 日本数学会 Mathematical Society of Japan Research Projects 13 Arithmetic of Cubic Fields and Elliptic Curves associated to them Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2002 - 2004 MIYAKE Katsuya, NAKAMULA Ken, KURIHARA Masato, TOKUNAGA Hiroo, MATSUNO Kazuo, NAKANO Shin Research of Iwasawa Theory fof Formal Groups Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2000 - 2003 NAKAJIMA Shoichi, ICHIMURA Humio, NAITO Hirotada, NAKANO Shin, KAWAMOTO Fuminori Arithmetic of Z_p-field and geometry of algebraic curves Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 1997 - 1998 NAKAJIMA Shoichi, KAWAMOTO Fuminori, NAKANO Shin, ICHIMURA Humio, NAITO Hirotada, KURODA Shigenobu Algebraic and Analytic Research of Transcendental Numbers Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 1996 - 1997 IITAKA Shigeru, NAKANO Shin, MIZUTANI Akira, KATASE Kiyoshi, FUJIWARA Daisuke, KURODA Shigetoshi 代数的数体における構造不変量の研究 科学研究費助成事業, 日本学術振興会, 1994 - 1994 横井 英夫, 佐藤 健一, 篠田 寿一, 三井 武友, 中野 伸, 北岡 良之 More
Shin Nakano (中野 伸) Please select the form format to download from below 「Education and research environment」format 「No. 4, the Ministry of Education document style ①Outline for Vitae」format 「No. 4, the Ministry of Education document style ②Education and research environment」format Profile Information AffiliationProfessor, Faculty of Science Department of Mathematics, Gakushuin UniversityDegreeDoctor of Science(Gakushuin University)Doctor of Science(Gakushuin University)J-GLOBAL ID200901017184942630researchmap Member ID1000210681External linkhttp://www.math.gakushuin.ac.jp/~shin/ Research Interests 4 elliptic curve Galois group ideal class group algebraic number field Research Areas 1 Natural sciences / Algebra / Research History 11 Apr, 2007 - Present Faculty of Science, Gakushuin University Apr, 2007 - Present Professor, Faculty of Science, Gakushuin University Apr, 1995 - Mar, 2007 Associate Professor, Faculty of Science, Gakushuin University Apr, 1995 - Mar, 2007 Faculty of Science, Gakushuin University Apr, 1993 - Mar, 1995 Lecturer, Faculty of Science, Nagoya University More Committee Memberships 1 2012 地方区代議員, 日本数学会 Papers 15 An Application of the Arithmetic of Elliptic Curves to the Class Number Problem for Quadratic Fields Yoshichika IIZUKA, Yutaka KONOMI, Shin NAKANO Tokyo Journal of Mathematics, 44(1) 33-47, Jun, 2021 Peer-reviewed On the class number divisibility of pairs of quadratic fields obtained from points on elliptic curves Yoshichika Iizuka, Yutaka Konomi, Shin Nakano JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 68(2) 899-915, Apr, 2016 Peer-reviewed A family of quintic cyclic fields with even class number parameterized by rational points on an elliptic curve Shin Nakano JOURNAL OF NUMBER THEORY, 129(12) 2943-2951, Dec, 2009 Peer-reviewed A Note on the Construction of Metacyclic Extensions Nakano Shin, Sase Masahiko Tokyo Journal of Mathematics, 25(1) 197-203, 2002 Peer-reviewed On the Galois module structure of ideal class groups T Komatsu, S Nakano NAGOYA MATHEMATICAL JOURNAL, 164 133-146, Dec, 2001 Peer-reviewed More Misc. 18 <研究報告>代数体および楕円曲線の不変量の計算と解析 中野 伸, 許斐 豊 学習院大学計算機センター年報, 42 23-27, Jul, 2021 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) 中野 伸 数学セミナー, 55(4) 30-33, Apr, 2016 <研究報告>ガウス整数環の素元の分布 中島 匠一, 中野 伸 学習院大学計算機センター年報, 34 23-28, Jul, 2013 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 中野 伸, 飯塚義睦, 許斐豊 第10回北陸数論研究集会報告集, 75-84, 2011 類数の可除性に関する定量的な結果 中野 伸 第8回北陸数論研究集会報告集, 31-41, 2009 More Books and Other Publications 1 ガロア理論 ~ その標準的な入門 ~ サイエンス社, 2003 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 Memberships 2 日本数学会 Mathematical Society of Japan Research Projects 13 Arithmetic of Cubic Fields and Elliptic Curves associated to them Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2002 - 2004 MIYAKE Katsuya, NAKAMULA Ken, KURIHARA Masato, TOKUNAGA Hiroo, MATSUNO Kazuo, NAKANO Shin Research of Iwasawa Theory fof Formal Groups Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 2000 - 2003 NAKAJIMA Shoichi, ICHIMURA Humio, NAITO Hirotada, NAKANO Shin, KAWAMOTO Fuminori Arithmetic of Z_p-field and geometry of algebraic curves Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 1997 - 1998 NAKAJIMA Shoichi, KAWAMOTO Fuminori, NAKANO Shin, ICHIMURA Humio, NAITO Hirotada, KURODA Shigenobu Algebraic and Analytic Research of Transcendental Numbers Grants-in-Aid for Scientific Research, Japan Society for the Promotion of Science, 1996 - 1997 IITAKA Shigeru, NAKANO Shin, MIZUTANI Akira, KATASE Kiyoshi, FUJIWARA Daisuke, KURODA Shigetoshi 代数的数体における構造不変量の研究 科学研究費助成事業, 日本学術振興会, 1994 - 1994 横井 英夫, 佐藤 健一, 篠田 寿一, 三井 武友, 中野 伸, 北岡 良之 More