TAKASE Masamichi 高瀬将道

Researcher Number	30447718
Other IDs
Affiliation (Current)	2025: 成蹊大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2023: 成蹊大学, 理工学部, 教授 2011 – 2015: 成蹊大学, 理工学部, 准教授 2007 – 2010: Shinshu University, 理学部, 准教授
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry
Keywords	Principal Investigator 多様体 / 特異点 / トポロジー / 微分位相幾何学 / コボルディズム / はめ込み / 微分可能写像 / 位相幾何学 / 写像 / 微分トポロジー … More / 幾何学 / 中次元トポロジー / 戸田ブラケット / ボルディズム / 折り目写像 / 戸田括弧積 / 結び目 / Thom多項式 / ホップ不変量 / コボルデイズム / 埋め込み / 高次元結び目 / 低次元トポロジー … More Except Principal Investigator 特異ファイバー / データ可視化 / 特性類 / 特異点 / 可微分写像 / 同境 / フランス:ドイツ:ベトナム:ブラジル / フランス:ドイツ:ブラジル / 特異Lefschetz束 / 不変量 / 特異点解消 / 特異性類 / ブラジル：フランス / 国際研究者交流 / 配置空間 / 実多項式写像芽 / 構造安定性 / 同境群 / はめ込み / 埋め込み / 特異点消去 / 多項式写像芽 / 国際研究者交流（フランス） / 多値関数 / 映像理論 / Vassiliev型不変量 / 写像空間 / 折り目付きレフシェッツ束 / カスプ / K-同値 / 符号数 / 複素射影平面 / 特異Lefschetz構造 / 障害類 / 同境理論 / 高さ関数 / 2次障害類 / 安定摂動 / モース写像 / 4次元有向同境群 / スペシャル・ジェネリック写像 / 位相不変量 / 曲面絡み目 / 多様体 / 接触 / レーブグラフ / 同境類 / 可微分多様体 / 可視化 / 多様体対 / ホモトピー原理 / 可微分構造 / 大域的特異点論 / 微分トポロジー Less

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Principal Investigator
- Principal Investigator
  
  高瀬将道
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Seikei University
Interface between singularity theory of mappings and knot theoryPrincipal Investigator
- Principal Investigator
  
  Takase Masamichi
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Seikei University
Structural Stability and Morphogenesis of Differentiable Maps
- Principal Investigator
  
  SAEKI OSAMU
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
New developments of singularity theory of mappings
- Principal Investigator
  
  SAEKI OSAMU
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Singularity theory of mappings from the viewpoint of low-dimensional topologyPrincipal Investigator
- Principal Investigator
  
  TAKASE Masamichi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Seikei University
  Shinshu University
Global Theory of Singularities of Differentiable Maps and its Applications
- Principal Investigator
  
  SAEKI Osamu
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
Geometry in the interface between high- and low-dimensional TopologyPrincipal Investigator
- Principal Investigator
  
  TAKASE Masamichi
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Shinshu University

All 2022 2021 2020 2018 2017 2016 2013 2012 2011 2010 2009 2008 2007

All Journal Article Presentation

[Journal Article] 特異点と結び目2020
- Author(s)
  高瀬将道
- Journal Title
  
  数理科学, サイエンス社
  
  Volume: 4月号 Pages: 14-20
- Data Source
  KAKENHI-PROJECT-15K04880
[Journal Article] Generic immersions and totally real embeddings2018
- Author(s)
  Kasuya Naohiko、Takase Masamichi
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 29 Issue: 11 Pages: 1850073-1850073
- DOI
  10.1142/s0129167x18500738
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04880
[Journal Article] Knots and links of complex tangents2017
- Author(s)
  Kasuya Naohiko、Takase Masamichi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 370 Issue: 3 Pages: 2023-2038
- DOI
  10.1090/tran/7164
- Data Source
  KAKENHI-PROJECT-15K04880
[Journal Article] Regular-equivalence of $2$-knot diagrams and sphere eversions2016
- Author(s)
  Masamichi Takase, Kokoro Tanaka
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society
  
  Volume: 161 (No. 2) Issue: 2 Pages: 237-246
- DOI
  10.1017/s0305004116000244
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400082, KAKENHI-PROJECT-15K04880
[Journal Article] Desingularizing special generic maps2013
- Author(s)
  Osamu Saeki and Masamichi Takase
- Journal Title
  
  Journal of Gokova Geometry Topology
  
  Volume: 7 Pages: 1-24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540074
[Journal Article] Desingularizing special generic maps2013
- Author(s)
  O. Saeki and M. Takase
- Journal Title
  
  Journal of Goekova Geometry Topology
  
  Volume: 7 Pages: 1-24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] Desingularizing special generic maps2013
- Author(s)
  O. Saeki and M. Takase
- Journal Title
  
  Journal of Goekova Geometry Topology
  
  Volume: 7 Pages: 1-24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244008
[Journal Article] Desingularizing special generic maps2013
- Author(s)
  O. Saeki and M. Takase
- Journal Title
  
  Journal of Gökova Geometry Topology
  
  Volume: 7巻 Pages: 1-24
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654028
[Journal Article] On a move reducing the genus of a knot diagram2012
- Author(s)
  Kenji Daikoku, Keiichi Sakai, Masamichi Takase
- Journal Title
  
  Indiana University Mathematics Journal
  
  Volume: (掲載受理)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540074
[Journal Article] Oriented bordism of codimension one immersions of 7-manifolds and relative Thom polynomials2012
- Author(s)
  Masamichi Takase
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 272 Issue: 1-2 Pages: 101-108
- DOI
  10.1007/s00209-011-0923-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540074
[Journal Article] Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions2011
- Author(s)
  Tobias Ekholm, Masamichi Takase
- Journal Title
  
  Bulletin of the London Mathematical Society 43
  
  Pages: 251-266
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740031
[Journal Article] Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions2011
- Author(s)
  Tobias Ekholm, Masamichi Takase
- Journal Title
  
  Bulletin of the London Mathematical Society
  
  Volume: 43 Issue: 2 Pages: 251-266
- DOI
  10.1112/blms/bdq097
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540074
[Journal Article] High-codimensional knots spun about manifolds2007
- Author(s)
  Dennis Roseman, Masamichi Takase
- Journal Title
  
  Algebraic and Geometric Topology 7
  
  Pages: 359-377
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740031
[Journal Article] An Ekholm-Szucs-type formula for codimension one immersions of 3-manifolds up to bordism2007
- Author(s)
  Masamichi Takase
- Journal Title
  
  Bulletin of the London Mathematical Society 39
  
  Pages: 39-45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740031
[Journal Article] An Ekholm-Szucs type formula for codimension one immersions of 3-manifolds up to bordism2007
- Author(s)
  Masamichi Takase
- Journal Title
  
  Bulletin of the London Mathematical Society 39
  
  Pages: 39-45
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740031
[Journal Article] The Hopf invariant of a Haefliger knot2007
- Author(s)
  Masamichi Takase
- Journal Title
  
  Mathematische Zeitschrift 256
  
  Pages: 35-44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740031
[Journal Article] High-codimensional knots spun about manifolds2007
- Author(s)
  Dennis Roseman and Masamichi Takase
- Journal Title
  
  Algebraic and Geomentric Topology 7
  
  Pages: 359-377
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740031
[Presentation] Singularity theory of mappings with no singularity2022
- Author(s)
  Masamichi Takase
- Organizer
  The 17th International Workshop on Real and Complex Singularities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03594
[Presentation] Introduction to intuitive topology2021
- Author(s)
  Masamicihi Takase
- Organizer
  THE 9TH INTERNATIONAL CONFERENCE ON SMART SYSTEMS ENGINEERING 2021
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03594
[Presentation] Complex tangents and knots2016
- Author(s)
  高瀬将道
- Organizer
  トポロジー金曜セミナー、九州大学
- Place of Presentation
  九州大学伊都キャンパス
- Year and Date
  2016-02-01
- Data Source
  KAKENHI-PROJECT-15K04880
[Presentation] Desingularizing special generic maps2013
- Author(s)
  高瀬将道
- Organizer
  トポロジー火曜セミナー
- Place of Presentation
  東京大学大学院数理科学研究科
- Data Source
  KAKENHI-PROJECT-22540074
[Presentation] スペシャルジェネリック写像のはめ込みへの持ち上げについて2012
- Author(s)
  高瀬将道
- Organizer
  特異点論と幾何構造
- Place of Presentation
  長野市生涯学習センター
- Data Source
  KAKENHI-PROJECT-22540074
[Presentation] 結び目図式の種数を減らすある変形について2011
- Author(s)
  大黒顕司・高瀬将道
- Organizer
  Knotting Nagoya
- Place of Presentation
  名古屋工業大学53号館
- Year and Date
  2011-11-05
- Data Source
  KAKENHI-PROJECT-22540074
[Presentation] はめ込みのコボルディズム群と特異ザイフェルト膜について2010
- Author(s)
  高瀬将道
- Organizer
  トポロジー金曜セミナー
- Place of Presentation
  九州大学数理学研究院
- Year and Date
  2010-07-16
- Data Source
  KAKENHI-PROJECT-22540074
[Presentation] 特異ザイフェルト膜の具体的構成について2009
- Author(s)
  高瀬将道
- Organizer
  北海道大学幾何学コロキウム
- Place of Presentation
  北海道大学理学部
- Year and Date
  2009-11-13
- Data Source
  KAKENHI-PROJECT-19740031
[Presentation] 同相群とその周辺2008
- Author(s)
  高瀬将道
- Organizer
  高余次元結び目のスピニング
- Place of Presentation
  京都産業大学
- Year and Date
  2008-02-18
- Data Source
  KAKENHI-PROJECT-19740031
[Presentation] 大域的特異点論の問題2007
- Author(s)
  高瀬将道
- Organizer
  大域的特異点論の問題
- Place of Presentation
  近畿大学
- Year and Date
  2007-10-05
- Data Source
  KAKENHI-PROJECT-19740031

1. SAEKI Osamu (30201510)

# of Collaborated Projects: 3 results

# of Collaborated Products: 3 results
2. OHMOTO Toru (20264400)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. YAMAMOTO Minoru (40435475)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. YAMAMOTO Takahiro (60435972)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. SAKUMA Kazuhiro (80270362)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. IWASE Norio (60213287)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KOBAYASHI Mahito (10261645)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. TAKATA Toshie (40253398)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 渡邉忠之 (70467447)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. ANDO Yoshifumi (80001840)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. TAKAYAMA Haruko (90274430)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. OKUMA Tomohiro (00300533)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. YOKURA Shoji (60182680)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KAMADA Seiichi (60254380)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. ISHIKAWA Masaharu (10361784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. FUKUI Toshizumi (90218892)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. ASHIKAGA Tadashi (90125203)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. KATANAGA Atsuko (20373128)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. TAKEUCHI Kiyoshi (70281160)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. TANAKA Kokoro

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

TAKASE Masamichi 高瀬 将道

Research Projects

Research Products

Co-Researchers

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Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Interface between singularity theory of mappings and knot theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Structural Stability and Morphogenesis of Differentiable Maps

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

New developments of singularity theory of mappings

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Singularity theory of mappings from the viewpoint of low-dimensional topologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Global Theory of Singularities of Differentiable Maps and its Applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry in the interface between high- and low-dimensional TopologyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] 特異点と結び目2020

Author(s)

Journal Title

Data Source

[Journal Article] Generic immersions and totally real embeddings2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Knots and links of complex tangents2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Regular-equivalence of $2$-knot diagrams and sphere eversions2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Desingularizing special generic maps2013

Author(s)

Journal Title

Data Source

[Journal Article] Desingularizing special generic maps2013

Author(s)

Journal Title

Data Source

[Journal Article] Desingularizing special generic maps2013

Author(s)

Journal Title

Data Source

[Journal Article] Desingularizing special generic maps2013

Author(s)

Journal Title

TAKASE Masamichi 高瀬将道