TAKASE Masamichi 高瀬将道

Researcher Number	30447718
Other IDs
Affiliation (Current)	2019: 成蹊大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2016 – 2017: 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 Except Principal Investigator Geometry
Keywords	Principal Investigator 特異点 / コボルディズム / 微分可能写像 / 多様体 / はめ込み / ホップ不変量 / トポロジー / 結び目 / 写像 / ボルディズム … More Except Principal Investigator 特異ファイバー / 同境 / 可微分写像 / 特異点 / データ可視化 / 特性類 / 不変量 / 高さ関数 / 可視化 / 折り目付きレフシェッツ束 / 多様体対 / 同境理論 / 実多項式写像芽 / ホモトピー原理 / 国際研究者交流（フランス） / 多様体 / 2次障害類 / 特異Lefschetz束 / 多項式写像芽 / 4次元有向同境群 / 多値関数 / ブラジル：フランス / 障害類 / 特異Lefschetz構造 / 特異点消去 / 曲面絡み目 / 写像空間 / レーブグラフ / 可微分構造 / 特異性類 / 符号数 / モース写像 / 可微分多様体 / フランス:ドイツ:ベトナム:ブラジル / 映像理論 / 接触 / Vassiliev型不変量 / 安定摂動 / はめ込み / K-同値 / 同境群 / 特異点解消 / 複素射影平面 / 国際研究者交流 / 位相不変量 / 大域的特異点論 / 微分トポロジー / 同境類 / カスプ / フランス:ドイツ:ブラジル / 構造安定性 / 埋め込み / スペシャル・ジェネリック写像 / 配置空間 Less

微分可能写像の特異点理論と結び目理論のインタフェイスPrincipal InvestigatorOngoing
- Principal Investigator
  
  高瀬将道
- 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 2017 2016 2013 2012 2011 2010 2009 2008 2007

All Journal Article Presentation

[Journal Article] Knots and links of complex tangents2017
- Author(s)
  Kasuya Naohiko、Takase Masamichi
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 370 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) Pages: 237-246
- DOI
  10.1017/s0305004116000244
- Acknowledgement Compliant / Peer Reviewed
- 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 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 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] 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. ANDO Yoshifumi (80001840)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 田中心

# 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結び目理論のインタフェイスPrincipal InvestigatorOngoing

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] 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

Data Source

[Journal Article] On a move reducing the genus of a knot diagram2012

Author(s)

Journal Title

Data Source

[Journal Article] Oriented bordism of codimension one immersions of 7-manifolds and relative Thom polynomials2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions2011

Author(s)

Journal Title

Data Source

[Journal Article] Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions2011

TAKASE Masamichi 高瀬将道