SAITO　TOSHIO

Joetsu University of EducationProfessor ◎
Natural Science Education (mathematics) GeometryProfessor ◎

Researcher Information

Degree

  • 博士(理学), 大阪大学

Research Keyword

  • 3-manifold
  • Heegaard splitting
  • flow spine
  • knot
  • tangle

Field Of Study

  • Natural sciences, Geometry

Career

  • Oct. 2019 - Present
    Hyogo University of Teacher Education, 大学院連合学校教育学研究科, 教授 (兼職)
  • Oct. 2019 - Present
    Joetsu University of Education, Graduate School of Education, Professor
  • Oct. 2012 - Sep. 2019
    Hyogo University of Teacher Education, 大学院連合学校教育学研究科, 准教授(兼職)
  • Apr. 2011 - Sep. 2019
    Joetsu University of Education, Graduate School of Education, Associate Professor
  • Apr. 2009 - Mar. 2011
    JSPS, Postdoctoral Fellow for Research Abroad
  • Apr. 2006 - Mar. 2009
    JSPS, Research Fellow (PD)
  • Apr. 2004 - Mar. 2006
    Osaka University, Graduate School of Science, COE Research Fellow

Educational Background

  • Mar. 2004, Osaka University, Graduate School of Science, Ph. D. Course Program, Department of Mathematics
  • Mar. 2001, Osaka University, Graduate School of Science, Master Course Program, Department of Mathematics
  • Mar. 1999, Osaka University, School of Science, Department of Mathematics
Research activity information

Paper

MISC

  • 衛星が描く８の字軌道の数学的考察―みちびき（準天頂衛星システム）を例として―
    斎藤 敏夫; 大橋 翔
    上越教育大学研究紀要, Mar. 2022
    Lead, 41, 2, 431, 439
  • STEAM教材としての錯視立体―Troikaによる作品「Squaring the Circle」を例として―
    斎藤 敏夫; 上田 未来
    上越教育大学研究紀要, Mar. 2021
    Lead, 40, 2, 585, 592
  • サイクロイドから派生したSTEM教材
    寺垣内 政一; 北臺 如法; 斎藤 敏夫
    広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域, Dec. 2019
    68, 1, 9
  • メルカトル図法の数理－大学初年次のSTEM教材として－
    寺垣内 政一; 斎藤 敏夫
    広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域, Dec. 2018
    67, 29, 37
  • 日食を理解・探求するためのSTEM教材の開発
    寺垣内 政一; 北䑓 如法; 斎藤 敏夫; 山本 亮介
    広島大学大学院教育学研究科紀要. 第二部, 文化教育開発関連領域, Dec. 2017
    66, 17, 24

Books and other publications

  • Lecture Notes on Generalized Heegaard Splittings
    Martin Scharlemann; Jennifer Schultens; Toshio Saito, Joint work
    World Scientific Publishing Company, Jun. 2016
    9789813109117

Lectures, oral presentations, etc.

  • 3次元多様体の仮想結び目図式表示と彩色不変量
    斎藤 敏夫
    東京女子大学トポロジーセミナー, Oct. 2024, Invited
  • Toward understanding 3-manifolds by using virtual knot diagrams
    Toshio Saito
    2024 Dalian International Conference on Mathematics, Sep. 2024, Dalian University of Technology, Invited
  • Exceptional or half-integral chirally cosmetic surgeries
    Toshio Saito
    The 19th East Asian Conference on Geometric Topology, Feb. 2024
  • Knots in homology lens spaces determined by their complements
    斎藤 敏夫
    日本数学会秋季総合分科会, Sep. 2021, 日本数学会
  • A coloring invariant of 3-manifolds derived from flow spines and virtual knot diagrams
    斎藤 敏夫
    日本数学会秋季総合分科会, Sep. 2020, 日本数学会
  • The Poincaré homology sphere and fake quandle coloring
    斎藤 敏夫
    2019年度琉球結び目セミナー, Feb. 2020
  • 3-manifolds as viewed from virtual knot diagrams
    斎藤敏夫
    広島大学トポロジー・幾何セミナー, Nov. 2019, Invited
  • Combed 3-manifolds as viewed from virtual knot diagrams
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2019, 日本数学会
  • High distance knots in handlebodies and their applications
    斎藤敏夫
    N-KOOKセミナー, Dec. 2018, Invited
  • Minimal partitions for critical Heegaard splittings
    斎藤敏夫
    2018年度琉球結び目セミナー, Dec. 2018
  • Tunnel number of knots and generalized tangles
    斎藤敏夫
    Topology and Geometry of Low-dimensional Manifolds, Nov. 2018, Invited
  • Tunnel number of knots and generalized tangles
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2018, 日本数学会
  • Tunnel number of knots and generalized tangles
    斎藤敏夫
    Friday Seminar on Knot Theory, Jul. 2018, 大阪市立大学数学研究所, Invited
  • 四面体空間の組み合わせ的考察
    斎藤敏夫
    2017年度琉球結び目セミナー, Jan. 2018
  • An approach to defining Hempel distance of generalized Heegaard splittings
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2017, 日本数学会
  • トーラス体における結び目について
    斎藤敏夫
    2016年度琉球結び目セミナー, Dec. 2016
  • High distance tangles and tunnel number of knots
    Toshio Saito
    2016 International Conference of the Honam Mathematical Society, Jun. 2016, The Honam Mathematical Society, Invited
  • Tunnel number of tangles and links
    斎藤敏夫
    2016 琉球結び目セミナー, Feb. 2016
  • High distance tangles and tunnel number of knots
    斎藤敏夫
    拡大KOOKセミナー2015, Aug. 2015
  • Essential tangle spheres of knots
    斎藤敏夫
    Various Aspects of Classical Links II, Dec. 2014
  • Essential tangle spheres of knots
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2014, 日本数学会
  • 本質的タングル分解に関する小沢の定理の拡張可能性
    斎藤敏夫
    2014琉球結び目セミナー, Jun. 2014
  • Tunnel number of tangles and knots
    Toshio Saito
    UCSB Topology Seminar, Oct. 2013
  • Meridional destabilizing number of knots
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2013, 日本数学会
  • Tunnel number of tangles and knots
    Toshio Saito
    International Conference on Topology and Geometry 2013, Sep. 2013
  • Meridional destabilizing number of knots
    斎藤敏夫
    広島大学トポロジー・幾何セミナー, May 2012, Invited
  • Meridional destabilizing number and connected sums of knots
    Toshio Saito
    The 8th East Asian School of Knots and Related Topics, Jan. 2012
  • Meridional destabilizing number and connected sums of knots
    斎藤敏夫
    Group Seminar @ Murakami Lab, Dec. 2011, Invited
  • Connected sums of knots and 2-string free tangles
    斎藤敏夫
    農工大セミナー, Nov. 2011
  • 見えない図形を視る
    斎藤敏夫
    上越教育大学大学院(数学)修士会講演会, Jul. 2011
  • Free 2-tangles from the point of view of c-Heegaard splittings
    Toshio Saito
    UCSB Topology Seminar, Nov. 2010
  • Meridional destabilizing number of knots
    Toshio Saito
    International Conference Japan-Mexico on Topology and its Applications, Sep. 2010
  • Lens space surgery: orders of fundamental groups versus Seifert genera
    Toshio Saito
    Colloquium, Apr. 2010, Invited
  • Lens space surgeries and dual knots of doubly primitive knots
    斎藤敏夫
    Knots in east Osaka III, Mar. 2010, Invited
  • Meridionally destabilizing number of knots
    Toshio Saito
    Knotting Around Three Dimensions: A special session in memory of Xiao-Song Lin, Nov. 2009, Invited
  • Bridge position of knots and the curve complex
    Toshio Saito
    Simplicial Complexes Arising in Low-Dimensional Topology, Jul. 2009, Invited
  • Lens space surgery: orders of fundamental groups versus Seifert genera
    Toshio Saito
    The workshop on 3-manifolds and related topics, Jul. 2009
  • A note on lens space surgeries
    Toshio Saito
    UCSB Topology Seminar, May 2009
  • On some classes of hyperbolic knots with the 3-sphere surgery
    Toshio Saito
    The Fifth East Asian School of Knots and Related Topics, Jan. 2009
  • Distance of (1,1)-splittings of knots
    斎藤敏夫
    東工大トポロジーセミナー, Nov. 2008, Invited
  • Knots yielding homeomorphic lens spaces by Dehn surgery
    斎藤敏夫
    Oct. 2008, Invited
  • Knots yielding homeomorphic lens spaces by Dehn surgery
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2008
  • The Cho-McCullough tree of unknotting tunnels
    斎藤敏夫
    日大トポロジーセミナー, Jun. 2008, Invited
  • 結び目の補空間とハンドル体絡み目～３次元多様体の研究への応用～
    斎藤敏夫
    ハンドル体結び目とその周辺, Jun. 2008
  • Degrees for (1,1)-tunnels of knots
    Toshio Saito
    International Conference on Topology and its Applications 2007, Dec. 2007
  • Meridionally destabilizing number and connected sum of knots
    Toshio Saito
    Knotting Mathematics and Art: Conference in Low Dimensional Topology and Mathematical Art, Nov. 2007
  • Degrees for unknotting tunnels of depth one
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2007
  • On the distance of (1,1)-splittings
    Toshio Saito
    Geometric Topology Conference --Beijing 2007, Jun. 2007
  • Destabilizing Heegaard splittings of knot exteriors
    Toshio Saito
    UCSB Topology Seminar, Feb. 2007
  • Destabilizing Heegaard splittings of knot exteriors
    斎藤敏夫
    結び目のトポロジーIX, Dec. 2006
  • Destabilizing Heegaard splittings of knot exteriors
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2006
  • Knots in lens spaces with the 3-sphere surgery
    Toshio Saito
    Geometry and Topology of Low Dimensional Manifolds, Aug. 2006
  • Destabilizing Heegaard splittings of knot exteriors
    斎藤敏夫
    阪大低次元トポロジーセミナー, Jul. 2006
  • Knots in lens spaces with the 3-sphere surgery
    斎藤敏夫
    阪大低次元トポロジーセミナー, Apr. 2006
  • Lens spaces obtainable by surgery on knots
    斎藤敏夫
    日本数学会年会, Mar. 2006
  • An introduction of generalized Heegaard splittings
    斎藤敏夫
    第２回数学総合若手研究集会, Feb. 2006
  • Composite double torus knots in 3-manifolds
    Toshio Saito
    NZ-Japan Knot Theory conference, Jan. 2006
  • Lens spaces which are unobtainable by surgery on knots
    斎藤敏夫
    結び目のトポロジーVIII, Dec. 2005
  • A complexity on (1,1)-splittings of knots
    Toshio Saito
    Osaka University-Asia Pacific-Vietnam National University, Hanoi Forum 2005, Sep. 2005
  • Alexander polynomials of doubly primitive knots
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2005
  • On the distance of (1,1)-splittings
    Toshio Saito
    Second East Asian School of Knots and Related Topics, Aug. 2005
  • (1,1)-knots with lens space surgery and the 3-sphere surgery
    斎藤敏夫
    広島大学トポロジー・幾何セミナー, Jul. 2005, Invited
  • The distance of (1,1)-splittings and Dehn surgery
    斎藤敏夫
    日本数学会年会, Mar. 2005
  • Lens space surgery on knots in the three sphere and Dehn surgery on (1,1)-knots in lens spaces
    斎藤敏夫
    第１回数学総合若手研究集会, Feb. 2005
  • (1,1)-knots which admit Dehn surgery yielding the three sphere
    斎藤敏夫
    東北結び目セミナー in 秋田, Feb. 2005
  • Dehn surgery on (1,1)-knots in lens spaces which yields the three sphere
    Toshio Saito
    3rd Japan-Mexico Joint Meeting on Topology and its Applications, Dec. 2004
  • Dehn surgery and (1,1)-knots in lens spaces
    斎藤敏夫
    日本数学会秋季総合分科会, Sep. 2004
  • The dual knots of doubly primitive knots
    斎藤敏夫
    Friday Seminar on Knot Theory, Jul. 2004
  • Dehn surgery and (1,1)-knots in lens spaces
    Toshio Saito
    First KOOK Seminar International for Knot Theory and Related Topics, Jul. 2004
  • Dehn surgery and (1,1)-knots in lens spaces
    斎藤敏夫
    日大トポロジーセミナー, Jun. 2004
  • Dehn surgery and (1,1)-knots in lens spaces
    斎藤敏夫
    新KOOKセミナー, May 2004, Invited
  • (1,1)-結び目，(1,1)-分解の「複雑度」と幾何的性質との関係
    斎藤敏夫
    阪大トポロジーセミナー, May 2004, Invited
  • 3-manifolds and complexity of Heegaard splittings
    斎藤敏夫
    日本数学会年会, Mar. 2004
  • Complexity of Heegaard splittings
    Toshio Saito
    The First East Asian School of Knots, Links and Related Topics, Feb. 2004
  • Scharlemann-Thompson invariant for knots with unknotting tunnels and the distance of (1,1)-splittings
    斎藤敏夫
    結び目のトポロジー VI, Dec. 2003
  • Satellite (1,1)-knots and meridionally incompressible surfaces
    斎藤敏夫
    結び目と多様体の幾何と代数 II, Sep. 2003
  • Meridionally incompressible surfaces and (1,1)-splittings
    Toshio Saito
    Japan-Korea School of 3-manifolds, Dec. 2002
  • (1,1)-knots as viewed from the curve complex
    Toshio Saito
    Japan-Korea School of 3-manifolds, Dec. 2002
  • An introduction of lectures by M.Scharlemann and J.Schultens on generalized Heegaard splittings
    Toshio Saito
    The 9th Japan-Korea School of Knots and Links, Jan. 2002
  • Genus one 1-bridge knots as viewed from the curve complex
    斎藤敏夫
    結び目のトポロジー III, Dec. 2000

Affiliated academic society

  • THE MATHEMATICAL SOCIETY OF JAPAN

Research Themes