日本語
College of Science
Department of Science (Mathematics and Informatics Course)
Professor
ICHIMURA Fumio
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Graduate school
The University of Tokyo Master course Graduate School, Division of Science 数学専攻課程 1981 Completed Domestic
The University of Tokyo Doctor course Graduate School, Division of Science 数学専攻課程 1986 Withdrawn after completion of required course credits Domestic
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School
The University of Tokyo Faculty of Science 数学科 1979 Graduated Domestic
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Academic degrees
理学博士 The University of Tokyo
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Current research field
Algebra
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Research keywords
integer ring, ideal class group, cyclotomic field
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Subject of research
Hilbert-Speiser number fields and Stickelberger ideals integer ring, Hilbert-Speiser number fields, Stickelberger ideals 2000- I am studying on number fields satisfying the Hilbert-Speiser condition at a prime p.
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Books
Book 都立大学数学教室セミナー報告「岩澤理論入門」 1996 東京都立大学数学教室 市村文男
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Papers
Academic paper On 2-rank of the ideal class groups of totally real number fields Proceedings of the Japan Academy, Series A Academic (scientific) journal Only 58/ 7, 329-332 1982 Humio Ichimura
Academic paper On the divisibility problem of the class numbers of algebraic number fields Journal of the Faculty of Science, The University Tokyo Academic (scientific) journal Joint 30/ 3, 579-585 1984 Takashi Azuhata, Humio Ichimura
Academic paper A note on quadratic fields in which a fixed prime number splits completely Nagoya Mathematical Journal Academic (scientific) journal Only 99, 63-71 1985 Humio Ichimura
Academic paper A note on a global version of the Coleman embedding Proceedings of the Japan Academy, Series A Academic (scientific) journal Only 62/ 9, 347-349 1986 Humio Ichimura
Academic paper The non-vanishing of a certain Kummer character x_m (after Soule), and some related topics Advanced Studies in Pure Mathematics Academic (scientific) journal Joint 12, 53-64 1987 Humio Ichimura, Katsuhiko Sakaguchi
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Research presentations
Symposium ある種の実2次体の類数について 研究集会「解析数論ー複素関数の値の分布と性質を通して」 2010/10/07
Symposium アーベル体上の円分Z_p拡大の類数のnon-p-partについて 福岡数論研究集会 2010/08/25
Symposium Hilbert-Speiser number fields and Stickelberger ideals Japan-Korea Joint Seminar on Number Theory and Related Topics 2008/11/14
Research announcement Hilbert-Speiser number fields and Stickelberger ideals; higher conductor case 首都大学整数論セミナー 2007/06/19
Symposium Stickelberger ideals of conductor p and their application 早稲田大学整数論研究集会 2006/03
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Memberships of academic societies
Mathematical Society of Japan -Present Domestic