渡邉 忠之

Last Update: 2021/06/30 20:33:39

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Name(Kanji/Kana/Abecedarium Latinum)
渡邉 忠之/ワタナベ タダユキ/Watanabe, Tadayuki
Primary Affiliation(Org1/Job title)
Graduate School of Science/Associate Professor
Faculty
Org1 Job title
理学部
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
博士(理学) 京都大学
修士(数理科学) 東京大学
researchmap URL
https://researchmap.jp/tadayukiwatanabe
Research Topics
(Japanese)
微分位相幾何学
(English)
Differential Topology
Overview of the research
(Japanese)
多様体、結び目、多様体の微分同相群、埋め込み写像の空間のトポロジーを不変量や手術を用いて研究しています。
(English)
I am working on topology of manifolds, knots, diffeomorphism groups, spaces of embeddings by means of topological invariants and surgery.
Fields of research (key words)
Key words(Japanese) Key words(English)
微分トポロジー Differential Topology
低次元トポロジー Low-dimensional Topology
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Tadayuki Watanabe Tadayuki Watanabe Tadayuki Watanabe Higher order generalization of Fukaya’s Morse homotopy invariant of -manifolds, I: invariants of homology -spheres Higher order generalization of Fukaya’s Morse homotopy invariant of -manifolds, I: invariants of homology -spheres Higher order generalization of Fukaya’s Morse homotopy invariant of -manifolds, I: invariants of homology -spheres Asian Journal of Mathematics, 22, 1, 111-180 Asian Journal of Mathematics, 22, 1, 111-180 Asian Journal of Mathematics, 22, 1, 111-180 2018/05 Refereed Research paper(scientific journal) Disclose to all
Keiichi Sakai, Tadayuki Watanabe Keiichi Sakai, Tadayuki Watanabe Keiichi Sakai, Tadayuki Watanabe 1-loop graphs and configuration space integral for embedding spaces 1-loop graphs and configuration space integral for embedding spaces 1-loop graphs and configuration space integral for embedding spaces MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 152, 497-533 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 152, 497-533 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 152, 497-533 2012/05 Refereed English Research paper(scientific journal) Disclose to all
Tadayuki Watanabe Tadayuki Watanabe Tadayuki Watanabe On Kontsevich's characteristic classes for higher dimensional sphere bundles I: the simplest class On Kontsevich's characteristic classes for higher dimensional sphere bundles I: the simplest class On Kontsevich's characteristic classes for higher dimensional sphere bundles I: the simplest class MATHEMATISCHE ZEITSCHRIFT, 262, 3, 683-712 MATHEMATISCHE ZEITSCHRIFT, 262, 3, 683-712 MATHEMATISCHE ZEITSCHRIFT, 262, 3, 683-712 2009/07 Refereed English Research paper(scientific journal) Disclose to all
Tadayuki Watanabe Tadayuki Watanabe Tadayuki Watanabe On Kontsevich's characteristic classes for higher-dimensional sphere bundles II: Higher classes On Kontsevich's characteristic classes for higher-dimensional sphere bundles II: Higher classes On Kontsevich's characteristic classes for higher-dimensional sphere bundles II: Higher classes JOURNAL OF TOPOLOGY, 2, 3, 624-660 JOURNAL OF TOPOLOGY, 2, 3, 624-660 JOURNAL OF TOPOLOGY, 2, 3, 624-660 2009 Refereed English Research paper(scientific journal) Disclose to all
Tadayuki Watanabe Tadayuki Watanabe Tadayuki Watanabe Knotted trivalent graphs and construction of the LMO invariant from triangulations Knotted trivalent graphs and construction of the LMO invariant from triangulations Knotted trivalent graphs and construction of the LMO invariant from triangulations OSAKA JOURNAL OF MATHEMATICS, 44, 2, 351-362 OSAKA JOURNAL OF MATHEMATICS, 44, 2, 351-362 OSAKA JOURNAL OF MATHEMATICS, 44, 2, 351-362 2007/06 Refereed English Research paper(scientific journal) Disclose to all
Tadayuki Watanabe Tadayuki Watanabe Tadayuki Watanabe Configuration space integral for longn–knots and the Alexander polynomial Configuration space integral for longn–knots and the Alexander polynomial Configuration space integral for longn–knots and the Alexander polynomial Algebraic & Geometric Topology, 7, 1, 47-92 Algebraic & Geometric Topology, 7, 1, 47-92 Algebraic & Geometric Topology, 7, 1, 47-92 2007/02/23 Refereed Research paper(scientific journal) Disclose to all
Tadayuki Watanabe Tadayuki Watanabe Tadayuki Watanabe Clasper-moves among ribbon 2-knots characterizing their finite type invariants Clasper-moves among ribbon 2-knots characterizing their finite type invariants Clasper-moves among ribbon 2-knots characterizing their finite type invariants JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 15, 9, 1163-1199 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 15, 9, 1163-1199 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 15, 9, 1163-1199 2006/11 Refereed English Research paper(scientific journal) Disclose to all
Title language:
Conference Activities & Talks
Title Title(Japanese) Title(English) Conference Conference(Japanese) Conference(English) Promotor Promotor(Japanese) Promotor(English) Date Language Assortment Disclose
Claspers and barbells in 4-manifolds[Invited] Claspers and barbells in 4-manifolds [Invited] Claspers and barbells in 4-manifolds [Invited] 2021 Georgia Topology Conference 2021 Georgia Topology Conference 2021 Georgia Topology Conference 2021/06/08 English Oral presentation(invited, special) Disclose to all
Theta graph and diffeomorphisms of some 4-manifolds[Invited] Theta graph and diffeomorphisms of some 4-manifolds [Invited] Theta graph and diffeomorphisms of some 4-manifolds [Invited] 微分トポロジーセミナー (京都大学数学教室) 微分トポロジーセミナー (京都大学数学教室) 2021/06/01 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Trivalent graphs and diffeomorphisms of some 4-manifolds[Invited] Trivalent graphs and diffeomorphisms of some 4-manifolds [Invited] Trivalent graphs and diffeomorphisms of some 4-manifolds [Invited] Intelligence of Low-dimensional Topology Intelligence of Low-dimensional Topology Intelligence of Low-dimensional Topology 2021/05/21 Japanese Oral presentation(invited, special) Disclose to all
Trivalent graphs and diffeomorphisms of some 4-manifolds[Invited] Trivalent graphs and diffeomorphisms of some 4-manifolds [Invited] Trivalent graphs and diffeomorphisms of some 4-manifolds [Invited] Gauge Theory Virtual Gauge Theory Virtual Gauge Theory Virtual 2021/02/23 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Trivalent graphs and diffeomorphisms of disks[Invited] Trivalent graphs and diffeomorphisms of disks [Invited] Trivalent graphs and diffeomorphisms of disks [Invited] Algebraic Topology Seminar (Princeton) Algebraic Topology Seminar (Princeton) Algebraic Topology Seminar (Princeton) 2021/02/18 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Result in dimension 4[Invited] Result in dimension 4 [Invited] Result in dimension 4 [Invited] Seminar "Configuration space integrals and diffeomorphisms" (Münster) Seminar "Configuration space integrals and diffeomorphisms" (Münster) Seminar "Configuration space integrals and diffeomorphisms" (Münster) 2021/02/05 English Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Theta-graph and 4-dimensional light bulb problem[Invited] Theta-graph and 4-dimensional light bulb problem [Invited] 微分トポロジー20 微分トポロジー20 2020/09/03 Japanese Oral presentation(invited, special) Disclose to all
Theta-graph and diffeomorphisms of some 4-manifolds[Invited] Theta-graph and diffeomorphisms of some 4-manifolds [Invited] ハンドルセミナー'20 ハンドルセミナー'20 2020/06/25 Japanese Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Families of diffeomorphisms of 4-manifolds via graph surgery II[Invited] Families of diffeomorphisms of 4-manifolds via graph surgery II [Invited] Families of diffeomorphisms of 4-manifolds via graph surgery II [Invited] Symplectic Geometry Seminar (Stanford University) Symplectic Geometry Seminar (Stanford University) Symplectic Geometry Seminar (Stanford University) 2019/11/12 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Families of diffeomorphisms of 4-manifolds via graph surgery I[Invited] Families of diffeomorphisms of 4-manifolds via graph surgery I [Invited] Families of diffeomorphisms of 4-manifolds via graph surgery I [Invited] Symplectic Geometry Seminar (Stanford University) Symplectic Geometry Seminar (Stanford University) Symplectic Geometry Seminar (Stanford University) 2019/11/11 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Families of diffeomorphisms of 4-manifolds via graph surgery[Invited] Families of diffeomorphisms of 4-manifolds via graph surgery [Invited] Families of diffeomorphisms of 4-manifolds via graph surgery [Invited] Workshop on 4-manifolds (Max Planck Institute for Mathematics, Bonn) Workshop on 4-manifolds (Max Planck Institute for Mathematics, Bonn) Workshop on 4-manifolds (Max Planck Institute for Mathematics, Bonn) 2019/09/18 Oral presentation(invited, special) Disclose to all
Talk IV: Computation of the invariant[Invited] Talk IV: Computation of the invariant [Invited] Talk IV: Computation of the invariant [Invited] HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) 2019/09/06 Oral presentation(invited, special) Disclose to all
Talk III: Graph surgery construction of 4-manifold bundles[Invited] Talk III: Graph surgery construction of 4-manifold bundles [Invited] Talk III: Graph surgery construction of 4-manifold bundles [Invited] HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) 2019/09/05 Oral presentation(invited, special) Disclose to all
Talk II: Morse theoretic propagator and graph counting formula[Invited] Talk II: Morse theoretic propagator and graph counting formula [Invited] Talk II: Morse theoretic propagator and graph counting formula [Invited] HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) 2019/09/03 Oral presentation(invited, special) Disclose to all
Talk I: Kontsevich's characteristic classes[Invited] Talk I: Kontsevich's characteristic classes [Invited] Talk I: Kontsevich's characteristic classes [Invited] HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) HCM Workshop: Automorphisms of Manifolds (Lipschitz lecture hall, Mathematics Center, Bonn) 2019/09/02 Oral presentation(invited, special) Disclose to all
Families of diffeomorphisms of 4-manifolds via graph surgery[Invited] Families of diffeomorphisms of 4-manifolds via graph surgery [Invited] Families of diffeomorphisms of 4-manifolds via graph surgery [Invited] Four manifolds: Confluence of high and low dimensions (The Fields Institute, Toronto) Four manifolds: Confluence of high and low dimensions (The Fields Institute, Toronto) Four manifolds: Confluence of high and low dimensions (The Fields Institute, Toronto) 2019/07/08 Oral presentation(invited, special) Disclose to all
Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4)[Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) [Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) [Invited] 微分トポロジーセミナー (京都大学数学教室) 微分トポロジーセミナー (京都大学数学教室) 2019/05/21 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
On a 4D analogue of simultaneous normalization of propagators and its applications[Invited] On a 4D analogue of simultaneous normalization of propagators and its applications [Invited] On a 4D analogue of simultaneous normalization of propagators and its applications [Invited] Seminaire de topologie (Institut Fourier, Universite Grenoble Alpes) Seminaire de topologie (Institut Fourier, Universite Grenoble Alpes) Seminaire de topologie (Institut Fourier, Universite Grenoble Alpes) 2019/05/13 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere II[Invited] Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere II [Invited] Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere II [Invited] Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray, University of Sciences in Nantes) Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray, University of Sciences in Nantes) Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray, University of Sciences in Nantes) 2019/05/09 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere I[Invited] Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere I [Invited] Kontsevich's characteristic classes and diffeomorphisms of the 4-sphere I [Invited] Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray;University of Sciences in Nantes) Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray;University of Sciences in Nantes) Seminaire de topologie, geometrie et algebre (Laboratory of Mathematics Jean Leray;University of Sciences in Nantes) 2019/05/02 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
4次元球面束のKontsevich特性類の計算[Invited] 4次元球面束のKontsevich特性類の計算 [Invited] ENCOUNTER with MATHEMATICS (中央大学理工学部) ENCOUNTER with MATHEMATICS (中央大学理工学部) 2019/03/16 Oral presentation(invited, special) Disclose to all
グラフクラスパーと4次元球面束[Invited] グラフクラスパーと4次元球面束 [Invited] ENCOUNTER with MATHEMATICS (中央大学理工学部) ENCOUNTER with MATHEMATICS (中央大学理工学部) 2019/03/16 Oral presentation(invited, special) Disclose to all
4次元球面の微分同相群[Invited] 4次元球面の微分同相群 [Invited] ENCOUNTER with MATHEMATICS (中央大学理工学部) ENCOUNTER with MATHEMATICS (中央大学理工学部) 2019/03/16 Oral presentation(invited, special) Disclose to all
Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (2)[Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (2) [Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (2) [Invited] Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス) Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス) Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス) 2019/03/08 Oral presentation(invited, special) Disclose to all
Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (1)[Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (1) [Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) (1) [Invited] Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス) Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス) Branched Coverings, Degenerations, and Related Topics 2019 (広島大学東広島キャンパス) 2019/03/07 Oral presentation(invited, special) Disclose to all
Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4)[Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) [Invited] Some exotic nontrivial elements of the rational homotopy groups of Diff(S^4) [Invited] OIST Geometry, Topology and Dynamics Seminar (沖縄科学技術大学院大学(OIST)) OIST Geometry, Topology and Dynamics Seminar (沖縄科学技術大学院大学(OIST)) OIST Geometry, Topology and Dynamics Seminar (沖縄科学技術大学院大学(OIST)) 2019/01/24 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
Diff(S^4)の特性類と族のクラスパー手術[Invited] Diff(S^4)の特性類と族のクラスパー手術 [Invited] 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) 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) 2018/09/24 Oral presentation(invited, special) Disclose to all
4次元Smale予想について (2)[Invited] 4次元Smale予想について (2) [Invited] 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) 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) 2018/08/05 Oral presentation(general) Disclose to all
4次元Smale予想について (1)[Invited] 4次元Smale予想について (1) [Invited] 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) 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) 2018/08/04 Oral presentation(general) Disclose to all
Kontsevich's characteristic classes for Diff(S^4)[Invited] Kontsevich's characteristic classes for Diff(S^4) [Invited] Kontsevich's characteristic classes for Diff(S^4) [Invited] 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)) 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)) 2018/02/19 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
On the 4-dimensional smooth Smale conjecture[Invited] On the 4-dimensional smooth Smale conjecture [Invited] On the 4-dimensional smooth Smale conjecture [Invited] トポロジーとコンピュータ 2017 (大阪大学豊中キャンパス) トポロジーとコンピュータ 2017 (大阪大学豊中キャンパス) 2017/10/21 Oral presentation(invited, special) Disclose to all
Garoufalidis-Levine's finite type invariants for Z\pi-homology equivalences of 3-manifolds[Invited] Garoufalidis-Levine's finite type invariants for Z\pi-homology equivalences of 3-manifolds [Invited] Garoufalidis-Levine's finite type invariants for Z\pi-homology equivalences of 3-manifolds [Invited] 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) 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) 2017/01/27 Oral presentation(invited, special) Disclose to all
Morse homotopy and A_infinity structures for surface bundles over S^1[Invited] Morse homotopy and A_infinity structures for surface bundles over S^1 [Invited] Morse homotopy and A_infinity structures for surface bundles over S^1 [Invited] Workshop on finite type invariants of 3-manifolds (東京大学大学院数理科学研究科) Workshop on finite type invariants of 3-manifolds (東京大学大学院数理科学研究科) Workshop on finite type invariants of 3-manifolds (東京大学大学院数理科学研究科) 2016/03/31 Oral presentation(general) Disclose to all
Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs[Invited] Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs [Invited] Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs [Invited] 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)) 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)) 2016/03/15 Public discourse, seminar, tutorial, course, lecture and others Disclose to all
An invariant of fiberwise Morse functions on surface bundle over S^1 by counting graphs[Invited] An invariant of fiberwise Morse functions on surface bundle over S^1 by counting graphs [Invited] An invariant of fiberwise Morse functions on surface bundle over S^1 by counting graphs [Invited] 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) 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) 2015/11/19 Oral presentation(general) Disclose to all
Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs[Invited] Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs [Invited] Finite type invariants of nullhomologous knots in 3-manifolds by counting graphs [Invited] Braids, Configuration spaces and Quantum Topology (東京大学大学院数理科学研究科) Braids, Configuration spaces and Quantum Topology (東京大学大学院数理科学研究科) Braids, Configuration spaces and Quantum Topology (東京大学大学院数理科学研究科) 2015/09/07 Oral presentation(general) Disclose to all
An invariant of fiberwise Morse functions on surface bundles over S^1 by counting graphs[Invited] An invariant of fiberwise Morse functions on surface bundles over S^1 by counting graphs [Invited] An invariant of fiberwise Morse functions on surface bundles over S^1 by counting graphs [Invited] 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) 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) 2015/08/25 Oral presentation(general) Disclose to all
On equivariant perturbative invariants in 3-dimension by Morse theory[Invited] On equivariant perturbative invariants in 3-dimension by Morse theory [Invited] On equivariant perturbative invariants in 3-dimension by Morse theory [Invited] RIMS Seminar Topology, Geometry and Algebra of low-dimensional manifolds (沼津KKR) RIMS Seminar Topology, Geometry and Algebra of low-dimensional manifolds (沼津KKR) RIMS Seminar Topology, Geometry and Algebra of low-dimensional manifolds (沼津KKR) 2015/05/28 Oral presentation(general) Disclose to all
Morse theory and Lescop's equivariant propagator[Invited] Morse theory and Lescop's equivariant propagator [Invited] Morse theory and Lescop's equivariant propagator [Invited] Floer and Novikov homology, contact topology and related topics (Kavli IPMU) Floer and Novikov homology, contact topology and related topics (Kavli IPMU) Floer and Novikov homology, contact topology and related topics (Kavli IPMU) 2014/04/22 Oral presentation(general) Disclose to all
Morse理論と3次元多様体の不変量[Invited] Morse理論と3次元多様体の不変量 [Invited] 日本数学会秋季分科会(特別講演) (愛媛大学) 日本数学会秋季分科会(特別講演) (愛媛大学) 2013/09/24 Oral presentation(invited, special) Disclose to all
Morse theory and invariants of manifolds[Invited] Morse theory and invariants of manifolds [Invited] Morse theory and invariants of manifolds [Invited] The 6th Pacific rim conference on mathematics (札幌コンベンションセンター) The 6th Pacific rim conference on mathematics (札幌コンベンションセンター) The 6th Pacific rim conference on mathematics (札幌コンベンションセンター) 2013/07/02 Oral presentation(general) Disclose to all
Invariants of 3-manifolds via Morse homotopy[Invited] Invariants of 3-manifolds via Morse homotopy [Invited] Invariants of 3-manifolds via Morse homotopy [Invited] Topology seminar (Institut Fourier, Grenoble University) Topology seminar (Institut Fourier, Grenoble University) Topology seminar (Institut Fourier, Grenoble University) 2013/03 Public discourse, seminar, tutorial, course, lecture and others Disclose to all

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Title language:
Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
幾何学特論II Advanced Geometry II 前期 理学部 2021/04-2022/03
幾何学特論D Topics in Geometry D 前期 理学研究科 2021/04-2022/03
微分積分学(講義・演義)B Calculus with Exercises B 後期 全学共通科目 2021/04-2022/03
数理科学課題研究 Special study course (Mathematical Science) 通年集中 理学部 2021/04-2022/03
線形代数学(講義・演義)A Linear Algebra with Exercises A 前期 全学共通科目 2021/04-2022/03
線形代数学(講義・演義)B Linear Algebra with Exercises B 後期 全学共通科目 2021/04-2022/03
Faculty management (title, position)
Title Period
理学研究科SACRA広報・社会連携部門委員会委員 2021/04/01-2022/03/31
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 2021/04/01-2022/03/31