Ibaraki University's
College of Science
Department of Science (Mathematics and Informatics Course)

Professor

ICHIMURA Fumio


Academic background

  1. The University of Tokyo Faculty of Science 数学科 1979 Graduated
  2. The University of Tokyo Graduate School, Division of Science 数学専攻課程 Master course 1981 Completed
  3. The University of Tokyo Graduate School, Division of Science 数学専攻課程 Doctor course 1986 Withdrawn after completion of required course credits

Academic degrees

  1. 理学博士 The University of Tokyo

Research Areas

  1. Algebraic number theory

Research keywords

  1. integer ring, ideal class group, cyclotomic field

Subject of research

  1. Hilbert-Speiser number fields and Stickelberger ideals I am studying on number fields satisfying the Hilbert-Speiser condition at a prime p. 2000-Present
  2. アーベル体の類数、類群の特に非p部分の研究 2006/01/01-Present

Bibliography

  1. 都立大学数学教室セミナー報告「岩澤理論入門」 市村文男 東京都立大学数学教室 1996

Papers

  1. Research paper (scientific journal) Only On 2-rank of the ideal class groups of totally real number fields Humio Ichimura Proceedings of the Japan Academy, Series A 58/ 7, 329-332 1982
  2. Research paper (scientific journal) Joint On the divisibility problem of the class numbers of algebraic number fields Takashi Azuhata, Humio Ichimura Journal of the Faculty of Science, The University Tokyo 30/ 3, 579-585 1984
  3. Research paper (scientific journal) Only A note on quadratic fields in which a fixed prime number splits completely Humio Ichimura Nagoya Mathematical Journal 99, 63-71 1985
  4. Research paper (scientific journal) Only A note on a global version of the Coleman embedding Humio Ichimura Proceedings of the Japan Academy, Series A 62/ 9, 347-349 1986
  5. Research paper (scientific journal) Joint The non-vanishing of a certain Kummer character x_m (after Soule), and some related topics Humio Ichimura, Katsuhiko Sakaguchi Advanced Studies in Pure Mathematics 12, 53-64 1987

Research presentations

  1. Oral presentation(general) 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
  2. Oral presentation(general) 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
  3. Oral presentation(general) Hilbert-Speiser number fields and Stickelberger ideals Japan-Korea Joint Seminar on Number Theory and Related Topics 2008/11/14
  4. Oral presentation(general) Hilbert-Speiser number fields and Stickelberger ideals; higher conductor case 首都大学整数論セミナー 2007/06/19
  5. Oral presentation(general) Stickelberger ideals of conductor p and their application 早稲田大学整数論研究集会 2006/03

Alloted class

  1. 主題別ゼミ、数学入門II
  2. 代数学A
  3. 代数学特論II
  4. 代数学特講II
  5. 群論

Memberships of academic societies

  1. Mathematical Society of Japan