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J-GLOBAL ID：201501012123973903   Update date: Apr. 11, 2024

Takioka Hideo

タキオカ ヒデオ | Takioka Hideo
Affiliation and department：
Kanazawa University School of Mechanical Engineering, College of Science and Engineering

About Kanazawa University School of Mechanical Engineering, College of Science and Engineering


Job title： Associate Professor
Research field  (1)： Geometry
Research keywords  (19)： knot theory ,  knot ,  Kanenobu knot ,  mutant knot ,  cable knot ,  clasp-pass move ,  $4$-move distance ,  $S_{m}^{N}$-crossing change ,  arc index ,  braid index ,  clasp number ,  Alexander-Conway polynomial ,  Jones polynomial ,  $\Gamma$-polynomial ,  $Q$-polynomial ,  HOMFLYPT polynomial ,  Kauffman polynomial ,  coefficient polynomials ,  Vassiliev invariant
Research theme for competitive and other funds  (3)：
  • 2022 - 2027 Polynomial invariants for knots and their cabling
  • 2019 - 2022 Cabling for knot invariants
  • 2014 - 2016 Polynomial invariants for knots
Papers (16)：
  • Hideo Takioka. On two kinds of clasp-pass moves for knots. to appear in Kyungpook Mathematical Journal. 2024
  • Hideo Takioka. $2n$-moves and the $\Gamma $-polynomial for knots. to appear in Kyungpook Mathematical Journal. 2024
  • Taizo Kanenobu, Hideo Takioka. $4$-Move distance of knots. Journal of Knot Theory and Its Ramifications. 2022. 31. 9. 2250049 (14 pages)
  • Hideo Takioka. Infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial. Journal of Knot Theory and Its Ramifications. 2021. 30. 8. 2150054 (14 pages)
  • Hideo Takioka. Vassiliev knot invariants derived from cable $\Gamma $-polynomials. Topology and its Applications. 2021. 301. Paper No. 107535
ｍore...
MISC (6)：
  • 滝岡 英雄. 絡み目のHOMFLYPT多項式とKauffman多項式の係数多項式. 第69回トポロジーシンポジウム講演集. 2022. 99-108
  • Hideo Takioka. Vassiliev knot invariants derived from cable $\Gamma $-polynomials. 研究集会「結び目の数理II」報告集. 2020. 187-194
  • 滝岡 英雄. クラスプ数が高々$2$の結び目の$\Gamma$多項式の特徴付け. 研究集会「結び目の数学VIII」報告集. 2016. 223-232
  • 滝岡 英雄. ミュータントな結び目の零番係数HOMFLYPT多項式のケーブル化不変量. 研究集会「結び目の数学V」報告集. 2013. 56-61
  • 滝岡 英雄. $(2,1)$ケーブル結び目の零番係数多項式. 研究集会「結び目の数学IV」報告集. 2012. 97-103
ｍore...
Lectures and oral presentations  (72)：
  • $S_m^N$-crossing change and polynomial invariants of links
    (Knots and Spatial Graphs 2023, KAIST, Daejeon, Korea 2023)
  • $S_m^N$-crossing change and polynomial invariants of links
    (Saga Souhatsu Mathematical Seminar, Saga University 2023)
  • $4$-move distance of knots II
    (Kanazawa Souhatsu Seminar, Kanazawa University 2022)
  • 絡み目のHOMFLYPT多項式とKauffman多項式の係数多項式
    (第69回トポロジーシンポジウム, 北見工業大学 2022)
  • An infinite family of links with the coefficient polynomials up to any degree of the HOMFLYPT and Kauffman polynomials of any link
    (Kanazawa Topology Seminar, Kanazawa University 2022)
ｍore...
Education (3)：
  • 2012 - 2014 Osaka City University Graduate School of Science Doctor course, Department of Mathematics
  • 2010 - 2012 Osaka City University Graduate School of Science Master course, Department of Mathematics
  • 2006 - 2010 Shinshu University Faculty of Science Department of Mathematical Sciences
Professional career (1)：
  • 博士(理学) (大阪市立大学)
Work history (17)：
  • 2024/04 - 現在 Kanazawa University School of Mechanical Engineering, College of Science and Engineering Associate Professor
  • 2023/04 - 2024/03 Saga University Graduate School of Science and Engineering Postdoctoral Research Fellow
  • 2022/04 - 2023/03 Kanazawa University Faculty of Electrical, Information and Communication Engineering, Institute of Science and Engineering Postdoctoral Research Fellow
  • 2022/10 - 2023/02 Kanazawa University Part time Lecturer
  • 2019/10 - 2022/03 Kyoto University Graduate School of Science / Faculty of Science JSPS Research Fellow(PD)
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Committee career (7)：
  • 2024 - 現在 金沢トポロジーセミナー世話役
  • 2022 - 2023 金沢創発数理セミナー世話人
  • 2015 - 2021 研究集会「Hurwitz action」世話人 2015, 2016, 2020, 2021
  • 2017 - 2019 Friday Seminar on Knot Theory 組織委員
  • 2013 - 2018 関西低次元トポロジー若手セミナー世話人
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Awards (3)：
  • 2015/03 - 大阪市立大学数学研究会論文賞
  • 2014/07 - Young Mathematician Award, The 8th KNU-OCU-PNU Joint Workshop for Graduate Students
  • 2012/07 - Best Presentation Award, The 6th KNU-OCU-PNU Joint Workshop for Graduate Students
Association Membership(s) (2)：
「結び目の数学教育」研究会 ,  THE MATHMATICAL SOCIETY OF JAPAN
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