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Last Updated :2024/04/12

miyauchi toshiyuki

Faculty of Science
Associate professor

Researcher information

■ Degree
  • 博士（数理学）, 九州大学
■ Research Keyword
  • Algebraic Topology
■ Field Of Study
  • Natural sciences, Geometry, Topology

Career

■ Career
  • 01 Apr. 2020
    Fukuoka University, Department of Applied Mathematics, Faculty of Science, Associate Professor
  • 01 Apr. 2011 - 31 Mar. 2020
    Fukuoka University, Department of Applied Mathematics, Faculty of Science, Assistant Professor
  • 01 Apr. 2008 - 31 Mar. 2011
    Kyushu University, Faculty of Mathematics, Postdoctoral Fellow
  • 01 Apr. 2010 - 18 Mar. 2011
    Fukuoka Prefectural Dazaifu High School,, Part-time Teacher
  • 07 Jul. 2009 - 18 Mar. 2010
    Fukuoka Prefectural Hakata Seisho High School, Part-time Teacher
  • 01 Apr. 2007 - 31 Mar. 2008
    Kyushu University, Faculty of Mathematics, Research Fellow
■ Educational Background
  • Apr. 2003 - Sep. 2006
    Kyushu university, Graduate school of mathematics, Mathematics
  • Apr. 2001 - Mar. 2003
    Shinshu univaersity, Interdisciplinary Graduate School of Science & Technology, mathematical science
  • Apr. 1997 - Mar. 2001
    Shinshu University, Faculty of Science, Mathematical Sciences

Research activity information

■ Paper
  • Higher homotopy associativity in the Harris decomposition of Lie groups
    Daisuke Kishimoto; Toshiyuki Miyauchi
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Dec. 2020, Refereed
  • Modular invariants under the actions of some reflection groups related to Weyl groups
    ISHIGURO Kenshi; KOBA Takahiro; MIYAUCHI Toshiyuki; TAKIGAWA Erika
    Bulletin of the Korean Mathematical Society, Jan. 2020, Refereed
  • Some remarks on invariant rings under the actions of reflection groups related to Weyl groups
    ISHIGURO Kenshi; KOBA Takahiro; MIYAUCHI Toshiyuki; TAKIGAWA Erika
    Fukuoka University Science Reports, Mar. 2019
  • On Mimura's extension problem
    Toshiyuki Miyauchi; Juno Mukai; Mariko Ohara
    Topology and its Applications, 01 Jul. 2018, Refereed
  • Samelson products in quasi-p-regular exceptional Lie groups
    Sho Hasui; Daisuke Kishimoto; Toshiyuki Miyauchi; Akihiro Ohsita
    Homology, Homotopy and Applications, 2018, Refereed
  • Determination of the 2-primary components of the 32-stem homotopy groups of S^n
    Toshiyuki Miyauchi; Juno Mukai
    Boletín de la Sociedad Matemática Mexicana. Third Series, Apr. 2017, Refereed
  • On Lusternik-Schnirelmann category of SO(10)
    Norio Iwase; Kai Kikuchi; Toshiyuki Miyauchi
    FUNDAMENTA MATHEMATICAE, 2016, Refereed
  • The 2-components of the 31-stem homotopy groups of the 9 and 10-spheres
    Tomohisa Inoue; Toshiyuki Miyauchi; Juno Mukai
    Journal of the Faculty of Science, Shinshu University, Jan. 2015, Refereed
  • Self-homotopy of a suspension of the real 5-projective space
    Tomohisa Inoue; Toshiyuki Miyauchi; Juno Mukai
    JP Journal of Geometry and Topology, Jul. 2012, Refereed
  • Lusternik-Schnirelmann category of stunted quasi-projective spaces
    Norio Wase; Toshiyuki Miyauchi
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, Refereed
  • Self-homotopy of the double suspension of the real 7-projective space
    T. Miyauchi
    Mathematical Journal of Okayama University, Nov. 2006, Refereed
  • Self-Homotopy of Projective Space and L-S Category of Quasi-Projective Spaces
    Toshiyuki Miyauchi
    Thesis, Sep. 2006, Refereed
  • Self-homotopy of the double suspension of the real 6-projective space
    Toshiyuki Miyauchi; Juno Mukai
    Kyushu Journal of Mathematics, 2005, Refereed
■ Lectures, oral presentations, etc.
  • Some matrix Toda brackets in the homotopy groups of the rotation group
    福岡ホモトピー論セミナー, 13 Jan. 2020, 福岡大学セミナーハウス
  • Higher homotopy associativity in the Harris decomposition of Lie groups
    Toshiyuki Miyauchi
    Homotopy, Okinawa 2019, 03 Sep. 2019
  • On the homotopy groups of rotation groups
    Toshiyuki Miyauchi
    Vietnam-USA joint mathematical meeting, 13 Jun. 2019
  • Modular invariants under the actions of some reflection groups related to Weyl groups
    ISHIGURO Kenshi; MIYAUCHI Toshiyuki
    Vietnam-USA joint mathematical meeting, 11 Jun. 2019
  • Some remarks on invariant rings under the actions of reflection groups related to Weyl groups
    MIYAUCHI Toshiyuki; ISHIGURO Kenshi; KOBA Takahiro; TAKIGAWA Erika
    第139回日本数学会九州支部例会, 20 Oct. 2018, 日本数学会九州支部
  • 回転群と例外型 Lie 群 G2 のホモトピー群について
    小原 まり子; 宮内 敏行
    ホモトピー論シンポジウム, 25 Nov. 2017
  • Samelson products in quasi-p-regular F_4 and E_6
    Toshiyuki Miyauchi
    研究集会"群作用と位相", 04 Dec. 2016
  • Gottlieb groups of some mod 2 Moore spaces
    Toshiyuki Miyauchi
    ホモトピー論シンポジウム, 13 Nov. 2016
  • The 23-rd and 24-th homotopy groups of the n-th rotation group
    Toshiyuki Miyauchi
    ホモトピー論シンポジウム, 22 Nov. 2015
  • Matrix Toda brackets in the EHP sequence
    Toshiyuki Miyauchi
    ホモトピー論における有限と無限, 19 Feb. 2015
  • Determination of the 2-primary components in 32-stem unstable homotopy groups of spheres
    Toshiyuki Miyauchi; Juno Mukai
    MSJ Spring Meeting 2014 at Gakushuin University, 15 Mar. 2014
  • SO(10)のL-Sカテゴリ
    Toshiyuki Miyauchi
    Diffeology in Karatsu, 22 Dec. 2013
  • Top cell attaching map in 3-cell complex
    Toshiyuki Miyauchi
    Studio Phones Seminar, 12 Jun. 2012
  • Unstable homotopy group
    Toshiyuki Miyauchi
    Studio Phones Seminar, 11 Jun. 2012
  • 特性数の一般化とＣＷ複体の胞体構造について
    Toshiyuki Miyauchi
    空間の代数的・幾何的モデルとその周辺, 09 Sep. 2011
  • 懸垂実射影空間のホモトピー集合について III
    MIYAUCHI Toshiyuki
    福岡大学トポロジーセミナー, 25 Jul. 2011
  • 懸垂実射影空間のホモトピー集合について II
    MIYAUCHI Toshiyuki
    福岡大学トポロジーセミナー, 30 May 2011
  • 懸垂実射影空間のホモトピー集合について
    MIYAUCHI Toshiyuki
    福岡大学トポロジーセミナー, 18 Apr. 2011
  • 懸垂実６次元射影空間の自己ホモトピー集合の群構造について
    Toshiyuki Miyauchi
    第4回福岡・札幌 幾何学セミナー, 21 Feb. 2010
  • 懸垂実６次元射影空間の自己ホモトピー集合について
    Toshiyuki Miyauchi
    Homotopy Symposium 2009, 30 Oct. 2009
  • Self-homotopy of a suspension of the real 5-projective space
    Toshiyuki Miyauchi
    日本数学会2008年度年会, Mar. 2008
  • Self-homotopy of a suspension of the real 5-projective space
    Toshiyuki Miyauchi
    日本数学会2008年度年会, Mar. 2008
  • 懸垂5次元実射影空間の自己ホモトピー集合ついて
    宮内敏行
    第１１８回日本数学会九州支部例会, Feb. 2008
  • Self-homotopy of a suspension of the real 5-projective space
    宮内敏行
    ホモトピー論シンポジウム, Nov. 2007
  • Lusternik-Schnirelmann category of stunted quasi-projective spaces
    Toshiyuki Miyauchi
    COE Conference on the Development of Dynamic Mathematics with High Functionality, Oct. 2007
  • Lusternik-Schnirelmann category について
    宮内敏行
    信州トポロジーセミナー, Aug. 2007
  • Lusternik-Schnirelmann category of stunted quasi-projective spaces
    宮内敏行
    L-Sカテゴリ数と$A_{\infty}$構造, Oct. 2006
  • Lusternik-Schnirelmann category of stunted quasi-projective spaces
    Toshiyuki Miyauchi
    International Conference on Algebraic Topology, Dec. 2005
  • Lusternik-Schnirelmann category of stunted quasi-projective spaces
    宮内敏行
    福岡大学トポロジーセミナー, Nov. 2005
  • Self-homotopy of the double suspension of the real 7-projective space
    宮内敏行
    ホモトピー論シンポジウム, Nov. 2004
  • Self-homotopy of the double suspension of the real 7-projective space
    宮内敏行
    九州大学トポロジー金曜セミナー, Oct. 2004
  • Self-homotopy of the double suspension of the real 6-projective space
    宮内敏行
    福岡ホモトピー論セミナー, Oct. 2003
  • ２重懸垂実射影空間の自己ホモトピー集合
    宮内敏行
    九州大学トポロジー金曜セミナー, Jul. 2003
  • ２重懸垂実射影空間の自己ホモトピー集合
    宮内敏行
    福岡大学トポロジーセミナー, May 2003
■ Courses
  • 数学総合I
    福岡大学
  • 行列と行列式I
    福岡大学
  • 行列と行列式II
    福岡大学
  • 微分積分I
    福岡大学
  • 微分積分II
    福岡大学
  • 微分積分IV
    福岡大学
  • 数学A（微分積分学）
    福岡大学
  • 微分積分IV（微分方程式論）
    福岡大学
  • 数学B（複素関数論）
    福岡大学
  • 応用線形代数学入門
    福岡大学
  • 統計
    福岡大学
  • 数式処理実習
    福岡大学
  • 微分積分III
    福岡大学
  • 情報数理
    福岡大学
■ Affiliated academic society
  • Mathematical Society of Japan
■ Research Themes
  • J-準同型による球面の非安定ホモトピー群の大域構造の研究
    日本学術振興会, 科学研究費助成事業, 基盤研究(C)
    福岡大学
    01 Apr. 2022 - 31 Mar. 2025
  • 現代的位相解析研究
    福岡大学
    01 Apr. 2016 - 31 Mar. 2019
  • トポロジー研究
    福岡大学
    01 Apr. 2012 - 31 Mar. 2015
  • 代数と位相研究
    福岡大学
    01 Apr. 2011 - 31 Mar. 2012