Researchers Information System

日本語に切り替えるswitch to english

Watanabe, Tadayuki

Graduate School of Letters, Division of Mathematics and Mathematical Sciences Associate Professor

Watanabe, Tadayuki
list
    Last Updated :2022/05/14

    Basic Information

    Faculty

    • 理学部

    Professional Memberships

    • 日本数学会

    Academic Degree

    • 博士(理学)(京都大学)
    • 修士(数理科学)(東京大学)

    Research History

    • From Apr. 2021, To Present
      Kyoto University, Graduate School of Science, 准教授
    • From Apr. 2013, To Mar. 2021
      Shimane University, Interdisciplinary Faculty of Science and Engineering, Department of Mathematics and Computer Science, 講師
    • From Apr. 2009, To Mar. 2013
      北海道大学 理学(系)研究科(研究院), 助教
    • From Apr. 2008, To Mar. 2009
      日本学術振興会 特別研究員(PD) (受入機関:東京大学 大学院数理科学研究科)
    • From Apr. 2007, To Mar. 2008
      京都大学数理解析研究所 研究機関研究員

    ID,URL

    researchmap URL

    list
      Last Updated :2022/05/14

      Research

      Research Topics, Overview of the research

      • Research Topics

        Differential Topology
      • Overview of the research

        I am working on topology of manifolds, knots, diffeomorphism groups, spaces of embeddings by means of topological invariants and surgery.

      Research Interests

      • 高次元可微分多様体
      • 配置空間
      • 微分位相幾何学
      • 高次元絡み目
      • 4次元多様体
      • 手術
      • グラフホモロジー
      • 擬アイソトピー
      • ファイバー束
      • Morse理論
      • 埋め込み
      • 微分同相群
      • 有理ホモトピー群
      • 特性類

      Research Areas

      • Natural sciences, Geometry

      Papers

      • Higher order generalization of Fukaya’s Morse homotopy invariant of $3$-manifolds, I: invariants of homology $3$-spheres
        Tadayuki Watanabe
        Asian Journal of Mathematics, May 2018, Peer-reviewed
      • 1-loop graphs and configuration space integral for embedding spaces
        Keiichi Sakai; Tadayuki Watanabe
        MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, May 2012, Peer-reviewed
      • On Kontsevich's characteristic classes for higher dimensional sphere bundles I: the simplest class
        Tadayuki Watanabe
        MATHEMATISCHE ZEITSCHRIFT, Jul. 2009, Peer-reviewed
      • On Kontsevich's characteristic classes for higher-dimensional sphere bundles II: Higher classes
        Tadayuki Watanabe
        JOURNAL OF TOPOLOGY, 2009, Peer-reviewed
      • Knotted trivalent graphs and construction of the LMO invariant from triangulations
        Tadayuki Watanabe
        OSAKA JOURNAL OF MATHEMATICS, Jun. 2007, Peer-reviewed
      • Configuration space integral for longn–knots and the Alexander polynomial
        Tadayuki Watanabe
        Algebraic & Geometric Topology, 23 Feb. 2007, Peer-reviewed
      • Clasper-moves among ribbon 2-knots characterizing their finite type invariants
        Tadayuki Watanabe
        JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, Nov. 2006, Peer-reviewed

      Presentations

      • Claspers and barbells in 4-manifolds
        Tadayuki Watanabe
        2021 Georgia Topology Conference, 08 Jun. 2021, Invited
      • Theta graph and diffeomorphisms of some 4-manifolds
        渡邉忠之
        微分トポロジーセミナー (京都大学数学教室), 01 Jun. 2021, Invited
      • Trivalent graphs and diffeomorphisms of some 4-manifolds
        Tadayuki Watanabe
        Intelligence of Low-dimensional Topology, 21 May 2021, Invited
      • Trivalent graphs and diffeomorphisms of some 4-manifolds
        Tadayuki Watanabe
        Gauge Theory Virtual, 23 Feb. 2021, Invited
      • Trivalent graphs and diffeomorphisms of disks
        Tadayuki Watanabe
        Algebraic Topology Seminar (Princeton), 18 Feb. 2021, Invited
      • Result in dimension 4
        Tadayuki Watanabe
        Seminar "Configuration space integrals and diffeomorphisms" (Münster), 05 Feb. 2021, Invited
      • Theta-graph and 4-dimensional light bulb problem
        渡邉忠之
        微分トポロジー20, 03 Sep. 2020, Invited
      • Theta-graph and diffeomorphisms of some 4-manifolds
        渡邉忠之
        ハンドルセミナー'20, 25 Jun. 2020, Invited
      • Families of diffeomorphisms of 4-manifolds via graph surgery II
        Tadayuki Watanabe
        Symplectic Geometry Seminar (Stanford University), 12 Nov. 2019, Invited
      • Families of diffeomorphisms of 4-manifolds via graph surgery I
        Tadayuki Watanabe
        Symplectic Geometry Seminar (Stanford University), 11 Nov. 2019, Invited
      • Families of diffeomorphisms of 4-manifolds via graph surgery
        Tadayuki Watanabe
        Workshop on 4-manifolds (Max Planck Institute for Mathematics, Bonn), 18 Sep. 2019, Invited
      • Talk IV: Computation of the invariant
        Tadayuki Watanabe
        HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn), 06 Sep. 2019, Invited
      • Talk III: Graph surgery construction of 4-manifold bundles
        Tadayuki Watanabe
        HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn), 05 Sep. 2019, Invited
      • Talk II: Morse theoretic propagator and graph counting formula
        Tadayuki Watanabe
        HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn), 03 Sep. 2019, Invited
      • Talk I: Kontsevich's characteristic classes
        Tadayuki Watanabe
        HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn), 02 Sep. 2019, Invited
      • Families of diffeomorphisms of 4-manifolds via graph surgery
        Tadayuki Watanabe
        Four manifolds: Confluence of high and low dimensions (The Fields Institute, Toronto), 08 Jul. 2019, Invited
      • Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4)
        Tadayuki Watanabe
        微分トポロジーセミナー (京都大学数学教室), 21 May 2019, Invited
      • On a 4D analogue of simultaneous normalization of propagators and its applications
        Tadayuki Watanabe
        Seminaire de topologie (Institut Fourier, Universite Grenoble Alpes), 13 May 2019, Invited
      • Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere II
        Tadayuki Watanabe
        Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray, University of Sciences in Nantes), 09 May 2019, Invited
      • Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere I
        Tadayuki Watanabe
        Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray;University of Sciences in Nantes), 02 May 2019, Invited
      • 4次元球面束のKontsevich特性類の計算
        渡邉忠之
        ENCOUNTER with MATHEMATICS (中央大学理工学部), 16 Mar. 2019, Invited
      • グラフクラスパーと4次元球面束
        渡邉忠之
        ENCOUNTER with MATHEMATICS (中央大学理工学部), 16 Mar. 2019, Invited
      • 4次元球面の微分同相群
        渡邉忠之
        ENCOUNTER with MATHEMATICS (中央大学理工学部), 16 Mar. 2019, Invited
      • Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (2)
        Tadayuki Watanabe
        Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス), 08 Mar. 2019, Invited
      • Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (1)
        Tadayuki Watanabe
        Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス), 07 Mar. 2019, Invited
      • Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4)
        Tadayuki Watanabe
        OIST Geometry, Topology and Dynamics Seminar (沖縄科学技術大学院大学(OIST)), 24 Jan. 2019, Invited
      • Diff(S^4)の特性類と族のクラスパー手術
        渡邉忠之
        日本数学会2018年度秋季総合分科会(特別講演) (岡山大学津島キャンパス), 24 Sep. 2018, Invited
      • 4次元Smale予想について (2)
        渡邉忠之
        種々の幾何学的構造と基本群に現れる様々な特性類とその不変量への応用 (国家公務員共済組合連合会 下呂保養所), 05 Aug. 2018, Invited
      • 4次元Smale予想について (1)
        渡邉忠之
        種々の幾何学的構造と基本群に現れる様々な特性類とその不変量への応用 (国家公務員共済組合連合会 下呂保養所), 04 Aug. 2018, Invited
      • Kontsevich's characteristic classes for Diff(S^4)
        Tadayuki Watanabe
        信州トポロジーセミナー (信州大学理学部数学科(松本キャンパス)), 19 Feb. 2018, Invited
      • On the 4-dimensional smooth Smale conjecture
        渡邉忠之
        トポロジーとコンピュータ 2017 (大阪大学豊中キャンパス), 21 Oct. 2017, Invited
      • Garoufalidis-Levine's finite type invariants for Z\pi-homology equivalences of 3-manifolds
        渡邉忠之
        Casson不変量に関わる3次元多様体の不変量 (京都大学数理解析研究所), 27 Jan. 2017, Invited
      • Morse homotopy and A_infinity structures for surface bundles over S^1
        Tadayuki Watanabe
        Workshop on finite type invariants of 3-manifolds (東京大学大学院数理科学研究科), 31 Mar. 2016, Invited
      • Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs
        渡邉忠之
        信州トポロジーセミナー (信州大学理学部数学科(松本キャンパス)), 15 Mar. 2016, Invited
      • An invariant of fiberwise Morse functions on surface bundle over S^1 by counting graphs
        Tadayuki Watanabe
        日仏共同研究小研究集会(タイヒミュラー空間と写像類群) (東京大学大学院数理科学研究科), 19 Nov. 2015, Invited
      • Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs
        Tadayuki Watanabe
        Braids, Configuration spaces and Quantum Topology (東京大学大学院数理科学研究科), 07 Sep. 2015, Invited
      • An invariant of fiberwise Morse functions on surface bundles over S^1 by counting graphs
        渡邉忠之
        リーマン面に関連する位相幾何学 (東京大学大学院数理科学研究科), 25 Aug. 2015, Invited
      • On equivariant perturbative invariants in 3-dimension by Morse theory
        Tadayuki Watanabe
        RIMS Seminar Topology, Geometry and Algebra of low-dimensional manifolds (沼津KKR), 28 May 2015, Invited
      • Morse theory and Lescop's equivariant propagator
        Tadayuki Watanabe
        Floer and Novikov homology, contact topology and related topics (Kavli IPMU), 22 Apr. 2014, Invited
      • Morse理論と3次元多様体の不変量
        渡邉忠之
        日本数学会秋季分科会(特別講演) (愛媛大学), 24 Sep. 2013, Invited
      • Morse theory and invariants of manifolds
        Tadayuki Watanabe
        The 6th Pacific rim conference on mathematics (札幌コンベンションセンター), 02 Jul. 2013, Invited
      • Invariants of 3-manifolds via Morse homotopy
        Tadayuki Watanabe
        Topology seminar (Institut Fourier, Grenoble University), Mar. 2013, Invited

      External funds: Kakenhi

      • Diffeomorphism group and graph homology
        Grant-in-Aid for Scientific Research (C)
        Basic Section 11020:Geometry-related
        Kyoto University
        渡邉 忠之
        From 01 Apr. 2021, To 31 Mar. 2024, Granted
        微分同相群;ホモトピー;埋め込みの空間;位相不変量;グラフホモロジー
      • 微分可能写像の特異点理論と部分多様体の幾何のインタフェイス
        Grant-in-Aid for Scientific Research (C)
        Basic Section 11020:Geometry-related
        Seikei University
        高瀬 将道
        From 01 Apr. 2020, To 31 Mar. 2025, Granted
        トポロジー;多様体
      • Chern-Simons perturbation theory and its application to topology
        Grant-in-Aid for Scientific Research (C)
        Shimane University
        渡邉 忠之
        From 01 Apr. 2017, To 31 Mar. 2021, Granted
        微分同相;クラスパー;配置空間積分;微分同相群;有理ホモトピー群;Kontsevich特性類;Chern-Simons摂動理論;局所系;擬アイソトピー;埋め込み;Morseホモトピー;有限型不変量;幾何学
      • Interface between singularity theory of mappings and knot theory
        Grant-in-Aid for Scientific Research (C)
        Seikei University
        Masamichi Takase
        From 01 Apr. 2015, To 31 Mar. 2020, Project Closed
        中次元トポロジー;幾何学;トポロジー;微分トポロジー;多様体;写像;特異点
      • Morse theory and topology of manifolds / groups of diffeomorphisms
        Grant-in-Aid for Young Scientists (B)
        Shimane University
        Tadayuki Watanabe
        From 01 Apr. 2014, To 31 Mar. 2017, Project Closed
        Chern-Simons摂動理論;Morse理論;有限型不変量;3次元多様体;微分同相群;有理ホモトピー群;同変不変量;ファインマンダイアグラム;位相不変量;結び目
      • Asymptotic dimension, topological dimension on metric spaces and topological structures of computational models
        Grant-in-Aid for Scientific Research (C)
        Shimane University
        Yasunao Hattori
        From 01 Apr. 2014, To 31 Mar. 2019, Project Closed
        ドメイン;位相;次元;計算可能性;順序構造;距離空間;位相空間;次元論;形式的球体;Sorgenfrey位相;continuous bijection;reversible space;Alexandroff space;アレクサンドロフ空間;Khalimski空間;Khalimski直線;リバーシブル空間;位相幾何学;計算モデル
      • Topology related to graph complex
        Grant-in-Aid for Young Scientists (B)
        Shimane University;Hokkaido University
        Tadayuki WATANABE
        From 28 Apr. 2011, To 31 Mar. 2014, Project Closed
        Morse-Novikov理論;Morse理論;Chern-Simons摂動理論;グラフ複体;3次元多様体;微分同相群;曲面束;配置空間;同変不変量;ファインマンダイアグラム;有限型不変量;Lefschetzゼータ関数;埋め込み;Morse homotopy;勾配ベクトル場;位相不変量
      • Topology of the group of diffeomorphisms and the spaces of embeddings of manifolds
        Grant-in-Aid for Research Activity Start-up
        Hokkaido University
        Tadayuki WATANABE
        Project Closed
        ファイバー束;微分同相;埋め込み;Morse;理論;代数的K理論;微分同相群;Morse理論;有理ホモトピー群;擬アイソトピー
      • Coho mology of discrete groups and characteristic classes of flat bundles
        Grant-in-Aid for Scientific Research (B)
        Hokkaido University
        Toshiyuki AKITA
        Project Closed
        コホモロジー;特性類;線型表現;写像類群;分岐被覆;離散群;群のコホモロジー;平坦束;Mackey 函手;トポロジー;分類空間;Mackey函手;幾何学
      list
        Last Updated :2022/05/14

        Education

        Teaching subject(s)

        • From Apr. 2021, To Mar. 2022
          Advanced Geometry II
          Spring, 理学部
        • From Apr. 2021, To Mar. 2022
          Topics in Geometry D
          Spring, 理学研究科
        • From Apr. 2021, To Mar. 2022
          Calculus with Exercises B
          Fall, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Special study course (Mathematical Science)
          Year-long, 理学部
        • From Apr. 2021, To Mar. 2022
          Linear Algebra with Exercises A
          Spring, 全学共通科目
        • From Apr. 2021, To Mar. 2022
          Linear Algebra with Exercises B
          Fall, 全学共通科目
        list
          Last Updated :2022/05/14

          Administration

          Faculty management (title, position)

          • From 01 Apr. 2021, To 31 Mar. 2022
            理学研究科SACRA広報・社会連携部門委員会委員
          • From 01 Apr. 2021, To 31 Mar. 2022
            理学研究科SACRA広報・社会連携部門委員会 広報小委員会委員

          ページ上部へ戻る