Takao Kazuto 高尾和人

Researcher Number	80643832
Other IDs
Affiliation (Current)	2025: 東北大学, 情報科学研究科, 助教
Affiliation (based on the past Project Information) *help	2024: 東北大学, 情報科学研究科, 助教 2017 – 2021: 京都大学, スーパーグローバルコース数学系ユニット, 特定助教 2016: 京都大学, 数理解析研究所, 研究員 2014 – 2015: 九州大学, マス・フォア・インダストリ研究所, 日本学術振興会特別研究員-PD
Review Section/Research Field	Principal Investigator 0201:Algebra, geometry, analysis, applied mathematics,and related fields / Basic Section 11020:Geometry-related / Geometry
Keywords	Principal Investigator 結び目 / 低次元多様体 / 橋分解 / 橋位置 / 可微分写像の特異点 / Heegaard 分解 / 橋分解と橋位置 / ブラジル / 橋球面 / Heegaard分解 / Stein分解 / 特異点 / 可微分写像

Research on knot theory by understanding bridge positions and bridge decompositions togetherPrincipal Investigator
- Principal Investigator
  
  高尾和人
- Project Period (FY)
  2024 – 2025
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Tohoku University
結び目の橋理論の再構築と直積写像の特異点論の展開Principal Investigator
- Principal Investigator
  
  高尾和人
- Project Period (FY)
  2018 – 2021
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kyoto University
Singularity theory of product maps and its applicationsPrincipal Investigator
- Principal Investigator
  
  Takao Kazuto
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
  Kyushu University

All 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[Journal Article] A note on the paper "A knot with destabilized bridge spheres of arbitrarily high bridge number"2019
- Author(s)
  Y. Jang, T. Kobayashi, M. Ozawa and K. Takao
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2099
- Open Access
- Data Source
  KAKENHI-PROJECT-18K13409
[Journal Article] Stabilization of bridge decompositions of knots and bridge positions of knot types2019
- Author(s)
  Y. Jang, T. Kobayashi, M. Ozawa and K. Takao
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2135
- NAID
  120006888108
- Open Access
- Data Source
  KAKENHI-PROJECT-18K13409
[Journal Article] Double of boundary singularity of stable map from 3-manifold with boundary to 2-manifold2018
- Author(s)
  K. Takao
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2085
- Open Access
- Data Source
  KAKENHI-PROJECT-18K13409
[Journal Article] Two Morse functions and singularities of the product map2016
- Author(s)
  Kazuto Takao
- Journal Title
  
  Comm. Anal. Geom.
  
  Volume: 24 Issue: 3 Pages: 645-671
- DOI
  10.4310/cag.2016.v24.n3.a8
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-14J03358, KAKENHI-PROJECT-26800042
[Journal Article] A knot with destabilized bridge spheres of arbitrarily high bridge number2016
- Author(s)
  Yeonhee Jang, Tsuyoshi Kobayashi, Makoto Ozawa, Kazuto Takao
- Journal Title
  
  J. London Math.
  
  Volume: 93 Issue: 2 Pages: 379-396
- DOI
  10.1112/jlms/jdw004
- NAID
  120006658032
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400091, KAKENHI-PROJECT-26400097, KAKENHI-PROJECT-16H03928, KAKENHI-PROJECT-14J03358, KAKENHI-PROJECT-26800042
[Journal Article] Lips and swallow-tails of singularities of product maps2014
- Author(s)
  Kazuto Takao
- Journal Title
  
  J. Singul.
  
  Volume: 10
- DOI
  10.5427/jsing.2014.10t
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-14J03358, KAKENHI-PROJECT-26800042
[Journal Article] Heegaard splittings and singularities of the product map of Morse functions2014
- Author(s)
  Kazuto Takao
- Journal Title
  
  Trans. Amer. Math. Soc.
  
  Volume: 366 Issue: 4 Pages: 2209-2226
- DOI
  10.1090/s0002-9947-2013-06015-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-14J03358, KAKENHI-PROJECT-26800042
[Presentation] Local theory of the graphic of two trisections of a 4-manifold2020
- Author(s)
  Kazuto Takao
- Organizer
  The 15th East Asian Conference on Geometric Topology
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] Stable map into 3-space, its discriminant surface, and their projections2019
- Author(s)
  高尾和人
- Organizer
  幾何学と特異点２０１９
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] Singularities of two plane-valued maps and the product map2019
- Author(s)
  Kazuto Takao
- Organizer
  6th International Workshop on Singularities in Generic Geometry and its Applications
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] 橋分解と橋位置と結び目の対称性2019
- Author(s)
  Kazuto Takao
- Organizer
  変換群論とその応用
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] Morse functions and singularities of product maps2018
- Author(s)
  Kazuto Takao
- Organizer
  Geometry, Topology and Dynamics Seminar
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] Double of stable singularity on boundary2018
- Author(s)
  Kazuto Takao
- Organizer
  15th International Workshop on Real and Complex Singularities
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] 結び目の橋分解と橋位置について2018
- Author(s)
  高尾和人
- Organizer
  農工大セミナー
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] 結び目の橋位置と橋分解について2018
- Author(s)
  高尾和人
- Organizer
  学習院大学トポロジーセミナー
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] Singularities of product maps for low-dimensional topology2018
- Author(s)
  Kazuto Takao
- Organizer
  Intelligence of Low-dimensional Topology
- Data Source
  KAKENHI-PROJECT-18K13409
[Presentation] Singularities of three functions and the product maps2017
- Author(s)
  Kazuto Takao
- Organizer
  Geometric and Algebraic Singularity Theory
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] On bridge positions and bridge decompositions2017
- Author(s)
  Kazuto Takao
- Organizer
  The 12th East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学
- Year and Date
  2017-02-15
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] 安定写像の境界和について2017
- Author(s)
  高尾和人
- Organizer
  可微分写像の特異点論の局所的研究と大域的研究
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Singularities of three functions and the product maps2016
- Author(s)
  Kazuto Takao
- Organizer
  14th International Workshop on Real and Complex Singularities
- Place of Presentation
  サンパウロ大学
- Year and Date
  2016-07-28
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] 結び目の橋位置と橋分解2016
- Author(s)
  高尾和人
- Organizer
  N-KOOKセミナー
- Place of Presentation
  大阪市立大学文化交流センター
- Year and Date
  2016-10-22
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Heegaard surfaces and singularities of product maps2016
- Author(s)
  高尾和人
- Organizer
  低次元トポロジーセミナー
- Place of Presentation
  京都大学
- Year and Date
  2016-11-24
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Singularities of three functions and the product maps2016
- Author(s)
  高尾和人
- Organizer
  トポロジー・幾何セミナー
- Place of Presentation
  広島大学
- Year and Date
  2016-11-29
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] A survey on Heegaard surfaces of 3-manifolds2016
- Author(s)
  高尾和人
- Organizer
  特異点論ミニワークショップ "GERMS BE AMBITIOUS"
- Place of Presentation
  北海道大学
- Year and Date
  2016-08-24
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Local moves of the Stein factorization of the product map of two functions2015
- Author(s)
  Kazuto Takao
- Organizer
  The sixth Japanese-Australian Workshop on Real and Complex Singularities
- Place of Presentation
  鹿児島大学
- Year and Date
  2015-11-26
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] On bridge positions, bridge decompositions and bridge spheres2015
- Author(s)
  高尾和人
- Organizer
  Friday Seminar on Knot Theory
- Place of Presentation
  大阪市立大学
- Year and Date
  2015-12-11
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Heegaard splittings and singularities of product maps2015
- Author(s)
  Kazuto Takao
- Organizer
  2nd Brazil-Mexico Meeting on Singularities
- Place of Presentation
  バイーア連邦大学
- Year and Date
  2015-07-14
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Singularities of the product map of two functions2015
- Author(s)
  高尾和人
- Organizer
  生成的幾何学における特異点とその応用
- Place of Presentation
  神戸大学
- Year and Date
  2015-06-05
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Heegaard分解と直積写像の特異点2015
- Author(s)
  高尾和人
- Organizer
  ハンドル体結び目とその周辺Ⅷ
- Place of Presentation
  早稲田大学
- Year and Date
  2015-09-27
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Incompressible surfaces and Heegaard surfaces in 3-manifolds2014
- Author(s)
  高尾和人
- Organizer
  Intersection of Pure Mathematics and Applied Mathematics V
- Place of Presentation
  九州大学
- Year and Date
  2014-05-16
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] Realizing local moves of the Stein factorizations of smooth maps from 3-manifolds to 2-manifolds2014
- Author(s)
  Kazuto Takao
- Organizer
  13th International Workshop on Real and Complex Singularities
- Place of Presentation
  サンパウロ大学
- Year and Date
  2014-07-30
- Data Source
  KAKENHI-PROJECT-26800042
[Presentation] 任意に橋数の高い既約橋球面をもつ結び目2014
- Author(s)
  高尾和人
- Organizer
  トポロジー金曜セミナー
- Place of Presentation
  九州大学
- Year and Date
  2014-04-25
- Data Source
  KAKENHI-PROJECT-26800042

1. JANG Yeonhee

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
2. OZAWA Makoto

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results
3. 小林毅

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Takao Kazuto 高尾 和人

Research Projects

Research Products

Co-Researchers

Research on knot theory by understanding bridge positions and bridge decompositions togetherPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

結び目の橋理論の再構築と直積写像の特異点論の展開Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Singularity theory of product maps and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A note on the paper "A knot with destabilized bridge spheres of arbitrarily high bridge number"2019

Author(s)

Journal Title

Data Source

[Journal Article] Stabilization of bridge decompositions of knots and bridge positions of knot types2019

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Double of boundary singularity of stable map from 3-manifold with boundary to 2-manifold2018

Author(s)

Journal Title

Data Source

[Journal Article] Two Morse functions and singularities of the product map2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A knot with destabilized bridge spheres of arbitrarily high bridge number2016

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] Lips and swallow-tails of singularities of product maps2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Heegaard splittings and singularities of the product map of Morse functions2014

Author(s)

Journal Title

DOI

Data Source

[Presentation] Local theory of the graphic of two trisections of a 4-manifold2020

Author(s)

Organizer

Data Source

[Presentation] Stable map into 3-space, its discriminant surface, and their projections2019

Author(s)

Organizer

Data Source

[Presentation] Singularities of two plane-valued maps and the product map2019

Author(s)

Organizer

Data Source

[Presentation] 橋分解と橋位置と結び目の対称性2019

Author(s)

Organizer

Data Source

[Presentation] Morse functions and singularities of product maps2018

Author(s)

Organizer

Data Source

[Presentation] Double of stable singularity on boundary2018

Author(s)

Organizer

Data Source

Takao Kazuto 高尾和人