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Last Updated :2025/04/25
Toshiyuki Miyauchi
Faculty of Science
Associate professor
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
Research activity information
■ Paper
■ Research Themes
- 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, 150(6):2982 - 3000, 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, 57(1):207 - 218, 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, 49(1):1 - 8 - On Mimura's extension problem
Toshiyuki Miyauchi; Juno Mukai; Mariko Ohara
Topology and its Applications, 01 Jul. 2018, 243:135 - 145, Refereed - Samelson products in quasi-p-regular exceptional Lie groups
Sho Hasui; Daisuke Kishimoto; Toshiyuki Miyauchi; Akihiro Ohsita
Homology, Homotopy and Applications, 2018, 20(1):185 - 208, 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, 23(1):319 - 387, Refereed - On Lusternik-Schnirelmann category of SO(10)
Norio Iwase; Kai Kikuchi; Toshiyuki Miyauchi
FUNDAMENTA MATHEMATICAE, 2016, 234(3):201 - 227, 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, 46:1 - 19, 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, 12(2):111 - 158, Refereed - Lusternik-Schnirelmann category of stunted quasi-projective spaces
Norio Wase; Toshiyuki Miyauchi
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2007, 47(2):321 - 326, Refereed - Self-homotopy of the double suspension of the real 7-projective space
T. Miyauchi
Mathematical Journal of Okayama University, Nov. 2006, 48:77 - 86, Refereed - Self-Homotopy of Projective Space and L-S Category of Quasi-Projective Spaces
Toshiyuki Miyauchi
Thesis, Sep. 2006, :1 - 38, Refereed - Self-homotopy of the double suspension of the real 6-projective space
Toshiyuki Miyauchi; Juno Mukai
Kyushu Journal of Mathematics, 2005, 59(1):101 - 116, Refereed
- 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 - 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
- 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
■ Research Themes
