Ishihara Kai 石原海

Researcher Number	40634762
Other IDs
Affiliation (Current)	2025: 広島大学, 先進理工系科学研究科(理), 教授
Affiliation (based on the past Project Information) *help	2024: 広島大学, 先進理工系科学研究科(理), 教授 2018 – 2023: 山口大学, 教育学部, 准教授 2014 – 2017: 山口大学, 教育学部, 講師
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry / Foundations of mathematics/Applied mathematics Except Principal Investigator Basic Section 11020:Geometry-related / Science and Engineering / Geometry
Keywords	Principal Investigator 結び目 / 交差交換 / バンド手術 / DNA / 3次元トポロジー / 絡み数 / ヒートマップ / 低次元トポロジー / 絡み目解消経路 / GOF-knots … More / ファイバー結び目 / 結び目解消トンネル / ファイバー絡み目 / 絡み目 / DNAトポロジー / 格子絡み目 / DNAの部位特異的組み換え / 部位特異的組み換え / 格子結び目 / DNA結び目 … More Except Principal Investigator トポロジー / 高分子 / 結び目 / ポリマー / 3次元ネットワーク / ３次元多様体 / ３次元トポロジー / トポロジー高分子 / 3次元多様体 / ハンドル体分割 / 高分子材料 / ハンドル体分解 / 超分子 / ネットワーク / 共連続構造 / ブロック共重合体 / 3次元トポロジー / DNA Less

結び目の配置と局所変形の研究Principal Investigator
- Principal Investigator
  
  石原海
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Yamaguchi University
結び目のトポロジーとその高分子科学への応用の研究
- Principal Investigator
  
  下川航也
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Ochanomizu University
Research on topology using surfaces, and its applicationPrincipal Investigator
- Principal Investigator
  
  Ishihara Kai
- Project Period (FY)
  2017 – 2020
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Yamaguchi University
Design of static and dynamic networks based on 3-dimensional topology
- Principal Investigator
  
  Shimokawa Koya
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research on Innovative Areas (Research in a proposed research area)
- Review Section
  
  Science and Engineering
- Research Institution
  Saitama University
Research on knot theory and its application
- Principal Investigator
  
  Shimokawa Koya
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
Research on polymer topology via knot theoryPrincipal Investigator
- Principal Investigator
  
  Ishihara Kai
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Yamaguchi University

All 2024 2022 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation Book

[Book] Topology of Polymers2019
- Author(s)
  Shimokawa, Koya, Ishihara, Kai, Tezuka, Yasuyuki
- Total Pages
  89
- Publisher
  Springer, SpringerBriefs in the Mathematics of Materials
- ISBN
  9784431568865
- Data Source
  KAKENHI-PROJECT-16H03928
[Book] Topology of Polymers2019
- Author(s)
  Shimokawa, Koya, Ishihara, Kai, Tezuka, Yasuyuki
- Total Pages
  89
- Publisher
  Springer, SpringerBriefs in the Mathematics of Materials
- ISBN
  9784431568865
- Data Source
  KAKENHI-PLANNED-17H06463
[Book] Topology of Polymers2019
- Author(s)
  Koya Shimokawa, Kai Ishihara, Yasuyuki Tezuka
- Total Pages
  81
- Publisher
  Springer
- ISBN
  9784431568889
- Data Source
  KAKENHI-PROJECT-17K14190
[Journal Article] Handlebody decompositions of three-manifolds and polycontinuous patterns2022
- Author(s)
  Sakata N.、Mishina R.、Ogawa M.、Ishihara K.、Koda Y.、Ozawa M.、Shimokawa K.
- Journal Title
  
  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  
  Volume: 478 Issue: 2260 Pages: 20220073-20220073
- DOI
  10.1098/rspa.2022.0073
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PLANNED-17H06463, KAKENHI-PROJECT-17K05262, KAKENHI-PROJECT-20K03588, KAKENHI-PROJECT-20J20545, KAKENHI-PROJECT-23K20791
[Journal Article] Graph Theoretical and Knot Theoretical Analyses of Multi-cyclic Polymers2022
- Author(s)
  Ishihara Kai、Shimokawa Koya
- Journal Title
  
  Topological Polymer Chemistry
  
  Volume: - Pages: 9-21
- DOI
  10.1007/978-981-16-6807-4_2
- ISBN
  9789811668067, 9789811668074
- Peer Reviewed
- Data Source
  KAKENHI-PLANNED-17H06463, KAKENHI-PROJECT-23K20791
[Journal Article] Neighborhood equivalence for multibranched surfaces in 3-manifolds2019
- Author(s)
  Ishihara Kai、Koda Yuya、Ozawa Makoto、Shimokawa Koya
- Journal Title
  
  Topology and its Applications
  
  Volume: 257 Pages: 11-21
- DOI
  10.1016/j.topol.2019.02.005
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05262, KAKENHI-PROJECT-17K14190, KAKENHI-ORGANIZER-17H06460, KAKENHI-PLANNED-17H06463, KAKENHI-PROJECT-16H03928, KAKENHI-PROJECT-16K13751, KAKENHI-PROJECT-17K05254
[Journal Article] Enzyme action for topological entanglement in DNA and knot theory2018
- Author(s)
  K. Ishihara
- Journal Title
  
  Reactive and Functional Polymers
  
  Volume: 132 Pages: 74-80
- DOI
  10.1016/j.reactfunctpolym.2018.09.006
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K14190, KAKENHI-PLANNED-17H06463
[Journal Article] Characterising knotting properties of polymers in nanochannels2018
- Author(s)
  N. R. Beaton, J. W. Eng, K. Ishihara, K. Shimokawa, C. E. Soteros
- Journal Title
  
  Soft Matter
  
  Volume: 14 Issue: 28 Pages: 5775-5785
- DOI
  10.1039/c8sm00734a
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14190, KAKENHI-PLANNED-17H06463, KAKENHI-PROJECT-16H03928, KAKENHI-PROJECT-16K13751
[Journal Article] Bounds for minimum step number of knots confined to tubes in the simple cubic lattice2017
- Author(s)
  Ishihara, Kai; Pouokam, Maxime; Suzuki, Atsumi; Scharein, Robert; Vazquez, Mariel; Arsuaga, Javier; Shimokawa, Koya
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 50 Issue: 21 Pages: 1-28
- DOI
  10.1088/1751-8121/aa6a4f
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800081, KAKENHI-PROJECT-16K13751, KAKENHI-PROJECT-17K14190, KAKENHI-PLANNED-17H06463, KAKENHI-PROJECT-16H03928
[Journal Article] Pathways of DNA unlinking: A story of stepwise simplification2017
- Author(s)
  Stolz Robert、Yoshida Masaaki、Brasher Reuben、Flanner Michelle、Ishihara Kai、Sherratt David J.、Shimokawa Koya、Vazquez Mariel
- Journal Title
  
  Scientific Reports
  
  Volume: 7 Issue: 1 Pages: 12420-12420
- DOI
  10.1038/s41598-017-12172-2
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13751, KAKENHI-PROJECT-17K14190, KAKENHI-PLANNED-17H06463, KAKENHI-PROJECT-16H03928
[Journal Article] Band surgeries and crossing changes between fibered links2016
- Author(s)
  Dorothy Buck, Kai Ishihara, Matt Rathbun, and Koya Shimokawa
- Journal Title
  
  J. London Math. Soc.
  
  Volume: 94(2) Issue: 2 Pages: 557-582
- DOI
  10.1112/jlms/jdw049
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03928, KAKENHI-PROJECT-26310206, KAKENHI-PROJECT-16K13751
[Journal Article] Band surgeries and crossing changes between fibered links2016
- Author(s)
  Dorothy Buck, Kai Ishihara, Matt Rathbun, Koya Shimokawa
- Journal Title
  
  Journal of the London Mathematical Society
  
  Volume: 93
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800081
[Journal Article] On coherent band pathways between knots and links2015
- Author(s)
  Dorothy Buck, Kai Ishihara
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 24 Issue: 02 Pages: 1-21
- DOI
  10.1142/s0218216515500066
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800081
[Presentation] Distance map and linking number2024
- Author(s)
  石原海
- Organizer
  The Crossroads of Topology, Combinatorics and Biosciences: Deciphering the Entanglement of Multi-Stranded Nucleic Acids
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03114
[Presentation] トンネル数1 のファイバー絡み目の構成法について2020
- Author(s)
  石原海
- Organizer
  琉球結び目セミナー
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] Topological characterization of unlinking pathways2020
- Author(s)
  石原海
- Organizer
  Friday Seminar on Knot Theory
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] Types of Multicyclic Graphs2019
- Author(s)
  K. Ishihara
- Organizer
  International Symposium "Polymers meet Topology"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06463
[Presentation] First steps of unlinking pathways2019
- Author(s)
  Kai Ishihara
- Organizer
  The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] Types of Multicyclic Graphs2019
- Author(s)
  Kai Ishihara
- Organizer
  Polymers meet Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] First steps of unlinking pathways2019
- Author(s)
  K. Ishihara
- Organizer
  The Topology of Nucleic Acids: Research at the Interface of Low-Dimensional Topology, Polymer Physics and Molecular Biology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PLANNED-17H06463
[Presentation] Complete classification of generalized crossing changes between GOF-knots2017
- Author(s)
  石原海
- Organizer
  広島大学トポロジー幾何セミナー
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] Enzyme action for topological entanglement in DNA and knot theory2017
- Author(s)
  石原海
- Organizer
  Knots and Polymers: Aspects of topological entanglement in DNA, proteins and graph-shaped polymers
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] Complete classification of generalized crossing changes between GOF-knots2017
- Author(s)
  石原海
- Organizer
  東北結び目セミナー2017
- Data Source
  KAKENHI-PROJECT-17K14190
[Presentation] The nomenclature of graphs and its application in polymer chemistry2016
- Author(s)
  石原海
- Organizer
  Topology and graphs in polymer chemistry
- Place of Presentation
  東京工業大学　東工大蔵前会館 (東京都目黒区)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800081
[Presentation] DNAの部位特異的組換えと絡み目のバンド手術2016
- Author(s)
  石原海
- Organizer
  生命ダイナミクスの数理とその応用
- Place of Presentation
  東京大学玉原国際セミナーハウス(群馬県沼田市)
- Invited
- Data Source
  KAKENHI-PROJECT-26800081
[Presentation] Unknotting operation of 2-bridge knots and lattice polygons in tube2014
- Author(s)
  Kai Ishihara
- Organizer
  8th Australia New Zealand Mathematics Convention
- Place of Presentation
  Melbourne University, Australia
- Year and Date
  2014-12-12
- Invited
- Data Source
  KAKENHI-PROJECT-26800081

1. Shimokawa Koya (60312633)

# of Collaborated Projects: 4 results

# of Collaborated Products: 8 results
2. 河内明夫 (00112524)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. 小沢誠 (50308160)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
4. 谷山公規 (10247207)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 三松佳彦 (70190725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 門上晃久 (80382026)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 山口祥司 (30534044)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 伊藤克司 (60221769)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 出口哲生 (70227544)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 手塚育志 (80155457)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
11. 古宇田悠哉 (20525167)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 中江康晴 (80506741)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. BUCK Dorothy

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
14. RATHBUN Matthew

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
15. VAZQUEZ Mariel

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
16. ARUSUAGA Javier

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. SOTEROS Chris

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Ishihara Kai 石原 海

Research Projects

Research Products

Co-Researchers

結び目の配置と局所変形の研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

結び目のトポロジーとその高分子科学への応用の研究

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on topology using surfaces, and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Design of static and dynamic networks based on 3-dimensional topology

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Research on knot theory and its application

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Research on polymer topology via knot theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] Topology of Polymers2019

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Book] Topology of Polymers2019

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Book] Topology of Polymers2019

Author(s)

Total Pages

Publisher

ISBN

Data Source

[Journal Article] Handlebody decompositions of three-manifolds and polycontinuous patterns2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Graph Theoretical and Knot Theoretical Analyses of Multi-cyclic Polymers2022

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] Neighborhood equivalence for multibranched surfaces in 3-manifolds2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Enzyme action for topological entanglement in DNA and knot theory2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Characterising knotting properties of polymers in nanochannels2018

Ishihara Kai 石原海