Shimizu Ayaka 清水理佳

… Alternative Names

清水理佳シミズアヤカ

SHIMIZU Ayaka 清水理佳

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Researcher Number	40638764
Other IDs
Affiliation (Current)	2025: お茶の水女子大学, グローバルリーダーシップ研究所, 特別研究員 2025: 大阪公立大学, 数学研究所, 特別研究員
Affiliation (based on the past Project Information) *help	2023: 群馬工業高等専門学校, 一般教科(自然), 准教授 2021: 群馬工業高等専門学校, 一般教科(自然), 准教授 2016: 群馬工業高等専門学校, 一般教科(自然科学), 助教 2014: 群馬工業高等専門学校, 一般教科(自然科学), 助教 2013: 群馬工業高等専門学校, その他部局等, 助教 2012: 広島大学, 理学(系)研究科(研究院), その他
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Geometry
Keywords	Principal Investigator 結び目図式 / 領域交差交換 / 局所変形 / 結び目 / 結び目解消操作 / 結び目理論 / 平面曲線 / 半ひねりスプライス / 領域結び目解消数 / 結び目射影図 / 既約度 / ひずみ多項式 / ひずみ度 … More Except Principal Investigator … More 結び目理論 / 生物 / 化学 / 物理 / トポロジー / 結び目パスワード / 量子スイッチ / 領域点灯ゲーム / 領域選択ゲーム Less

結び目の局所変形の研究Principal Investigator
- Principal Investigator
  
  清水理佳
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Gunma National College of Technology
Applications of knot theory to game and sciences
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
Study of knot diagramsPrincipal Investigator
- Principal Investigator
  
  SHIMIZU Ayaka
- Project Period (FY)
  2012 – 2013
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Gunma National College of Technology
  Hiroshima University
Studies of knot theory and their applications
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University

All 2023 2015 2014 2013 2012 Other

All Journal Article Presentation Book Patent

[Book] 結び目理論とゲーム2013
- Author(s)
  河内明夫、岸本健吾、清水理佳
- Total Pages
  128
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-24840030
[Book] 結び目理論とゲーム2013
- Author(s)
  河内明夫、岸本健吾、清水理佳
- Total Pages
  115
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-24244005
[Book] 結び目理論とゲーム2013
- Author(s)
  河内明夫, 岸本健吾, 清水理佳
- Total Pages
  115
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-24654015
[Book] 結び目理論とゲーム―領域選択ゲームでみる数学の世界―2013
- Author(s)
  河内明夫, 岸本健吾, 清水理佳
- Total Pages
  128
- Publisher
  朝倉書店
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] Quantization of the crossing number of a knot diagram2015
- Author(s)
  Akio Kawauchi, Ayaka Shimizu
- Journal Title
  
  Kyungpook Math. J.
  
  Volume: 55 Pages: 741-752
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244005
[Journal Article] The reductivity of spherical curves2014
- Author(s)
  Ayaka Shimizu
- Journal Title
  
  Topology and its Applications
  
  Volume: 未定（掲載決定済み）
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] 結び目理論から生まれたゲームとその仲間達2013
- Author(s)
  清水理佳
- Journal Title
  
  第10回城崎新人セミナー報告集
  
  Volume: なし
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] Region crossing change is an unknotting operatrion2013
- Author(s)
  Ayaka Shimizu
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] 結び目射影図の領域の不可避集合について2013
- Author(s)
  清水理佳
- Journal Title
  
  研究集会「結び目の数学V」報告集
  
  Volume: なし
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] The warping polynomial of a knot diagram2012
- Author(s)
  A Shimizu
- Journal Title
  
  Journal od Knot Theory and its Ramifications
  
  Volume: 21 Issue: 14 Pages: 1250124-1250124
- DOI
  10.1142/s0218216512501246
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] The half-twisted splice operation on reduced knot projections2012
- Author(s)
  Aayaka Shimizu
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 21 Issue: 11 Pages: 1250112-1250112
- DOI
  10.1142/s021821651250112x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740062, KAKENHI-PROJECT-24840030
[Journal Article] 結び目理論をゲームに応用する2012
- Author(s)
  清水理佳
- Journal Title
  
  数学通信
  
  Volume: 第17巻 Pages: 6-10
- NAID
  40019334737
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] A game based on knot theory2012
- Author(s)
  A Shimizu
- Journal Title
  
  Asia Pacific Mathematics Newsletter
  
  Volume: 2 Pages: 22-23
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] A game based on knot theory2012
- Author(s)
  Ayaka Shimizu
- Journal Title
  
  Asia Pacific Mathematics Newsletter
  
  Volume: 2
- Data Source
  KAKENHI-PROJECT-24840030
[Journal Article] The reductivity of spherical curves
- Author(s)
  A Shimizu
- Journal Title
  
  Topology and its Applications
  
  Volume: (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24840030
[Patent] 結び目理論を応用した量子スイッチシステム2012
- Inventor(s)
  河内明夫、岸本健吾、清水理佳
- Industrial Property Rights Holder
  河内明夫、岸本健吾、清水理佳
- Industrial Property Rights Type
  特許
- Industrial Property Number
  2012-094282
- Filing Date
  2012-04-17
- Data Source
  KAKENHI-PROJECT-24654015
[Patent] スイッチングシステム2012
- Inventor(s)
  河内明夫, 岸本健吾, 清水理佳
- Industrial Property Rights Holder
  大阪市立大学
- Industrial Property Rights Type
  特許
- Industrial Property Number
  2012-094282
- Filing Date
  2012-04-17
- Overseas
- Data Source
  KAKENHI-PROJECT-24840030
[Patent] 結び目理論を応用した量子スイッチシステム2012
- Inventor(s)
  河内明夫、岸本健吾、清水理佳
- Industrial Property Rights Holder
  公立大学法人大阪市立大学
- Industrial Property Rights Type
  特許
- Industrial Property Number
  2012-094282
- Filing Date
  2012-04-17
- Data Source
  KAKENHI-PROJECT-24244005
[Presentation] 結び目射影図の独立領域集合と交代ひずみ度について2023
- Author(s)
  清水理佳
- Organizer
  東京女子大学トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K03263
[Presentation] 結び目の射影図のひずみ度行列について2014
- Author(s)
  清水理佳
- Organizer
  岐阜大学トポロジーセミナー
- Place of Presentation
  岐阜大学
- Year and Date
  2014-02-05
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目理論から生まれたゲームとパズルについて2014
- Author(s)
  清水理佳
- Organizer
  組合せ数学セミナー
- Place of Presentation
  東京大学
- Year and Date
  2014-02-07
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial-graph diagrams (joint with K. Hayano and R. Shinjo)2014
- Author(s)
  Ayaka Shimizu
- Organizer
  Geometric Topology Seminar
- Place of Presentation
  Beijing Normal University（中国）
- Invited
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial-graph diagrams (joint with K Hayano, and R Shinjo)2014
- Author(s)
  A Shimizu
- Organizer
  Geometric Topology Seminar
- Place of Presentation
  Beijing Normal University (中国)
- Year and Date
  2014-03-28
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial graphs (joint with K. Hayano and R. Sinjo)2013
- Author(s)
  Ayaka Shimizu
- Organizer
  American Mathematical Society Western Fall Sectional Meeting
- Place of Presentation
  University of California, Riverside（アメリカ）
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 空間グラフにおける領域交差交換について（新庄玲子氏、早野健太氏との共同研究）2013
- Author(s)
  清水理佳
- Organizer
  日本数学会2013年度秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial-graph diagrams (joint with K. Hayano)2013
- Author(s)
  Ayaka Shimizu
- Organizer
  Spatial Graphs Conference
- Place of Presentation
  Loyola Marymount University（アメリカ）
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 空間グラフの図式における領域交差交換について（新庄玲子氏、早野健太氏との共同研究）2013
- Author(s)
  清水理佳
- Organizer
  東工大トポロジーセミナー
- Place of Presentation
  東京工業大学
- Invited
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目、絡み目、および空間グラフの図式における、領域交差交換による交差交換の実現について2013
- Author(s)
  清水理佳
- Organizer
  埼玉大学木曜セミナー
- Place of Presentation
  埼玉大学
- Year and Date
  2013-11-14
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目の領域交差交換とゲームについて2013
- Author(s)
  清水理佳
- Organizer
  小山高専数学談話会
- Place of Presentation
  小山工業高等専門学校
- Year and Date
  2013-11-07
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial-graphs (joint with K. Hayano)2013
- Author(s)
  Ayaka Shimizu
- Organizer
  Mathematics Seminar Series
- Place of Presentation
  Indian Institute of Technology Ropar（インド）
- Invited
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Irreducibility and reducibility of knot projections2013
- Author(s)
  清水理佳
- Organizer
  E-KOOKセミナー
- Place of Presentation
  大阪市立大学
- Year and Date
  2013-02-14
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] ひずみ多項式を用いた結び目の研究2013
- Author(s)
  清水理佳
- Organizer
  大阪市立大学2012年数学研究会特別賞受賞講演
- Place of Presentation
  大阪市立大学
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] The reducivity of knot projections2013
- Author(s)
  Ayaka Shimizu
- Organizer
  The 6th Japan-Mexico Topology Symposium
- Place of Presentation
  島根大学
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Measuring how reduced a spherical curve is2013
- Author(s)
  Ayaka Shimizu
- Organizer
  The 9th East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 穴あき円盤内の単純曲線についてpart I2013
- Author(s)
  清水理佳
- Organizer
  2013琉球結び目セミナー
- Place of Presentation
  てんぶす那覇
- Year and Date
  2013-09-12
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial-graph diagrams2013
- Author(s)
  A Shimizu
- Organizer
  Spatial Graphs Conference
- Place of Presentation
  Loyola Marymount University (アメリカ)
- Year and Date
  2013-06-08
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目理論から生まれたゲームのその仲間達2013
- Author(s)
  清水理佳
- Organizer
  第10回城崎新人セミナー
- Place of Presentation
  城崎市民センター
- Invited
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] The reducivity of knot projections2013
- Author(s)
  Ayaka Shimizu
- Organizer
  Topology Seminar
- Place of Presentation
  University of California, Santa Barbara（アメリカ）
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 空間グラフにおける領域交差交換について2013
- Author(s)
  清水理佳, 新庄玲子, 早野健太
- Organizer
  日本数学会2013年度秋季総合分科会
- Place of Presentation
  愛媛大学
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on knot, link and spatial-graph diagrams2013
- Author(s)
  Ayaka Shimizu
- Organizer
  Advanced School and Discussion Meeting on Knot Theory and its Applications
- Place of Presentation
  IISER Mohali（インド）
- Invited
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 空間グラフの図式における領域交差交換について2013
- Author(s)
  清水理佳
- Organizer
  東工大トポロジーセミナー
- Place of Presentation
  東京工業大学 (新庄玲子氏, 早野健太氏との共同研究)
- Year and Date
  2013-10-23
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] ひずみ多項式を用いた結び目の研究2013
- Author(s)
  清水理佳
- Organizer
  大阪市立大学2012年度数学研究会特別賞受賞講演
- Place of Presentation
  大阪市立大学
- Year and Date
  2013-02-22
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 穴あき円盤内の単純曲線について part I2013
- Author(s)
  清水理佳
- Organizer
  2013 琉球結び目セミナー
- Place of Presentation
  てんぶす那覇
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Measuring how reduced a spherical curve is2013
- Author(s)
  A Shimizu
- Organizer
  The 9^<th> East Asian School of Knots and Related Topics
- Place of Presentation
  東京大学
- Year and Date
  2013-01-14
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] The reducivity of knot projections2013
- Author(s)
  A Shimizu
- Organizer
  The 6^<th >Japan-Mexico Topology Symposium
- Place of Presentation
  島根大学
- Year and Date
  2013-09-05
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial-graphs2013
- Author(s)
  A Shimizu
- Organizer
  Mathematics Seminar Series
- Place of Presentation
  Indian Institute of Technology Ropar (インド)
- Year and Date
  2013-05-06
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目の領域交差交換とゲームについて2013
- Author(s)
  清水理佳
- Organizer
  小山高専数学談話会
- Place of Presentation
  小山高専
- Invited
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on spatial graphs2013
- Author(s)
  K Hayano, A Shimizu, and R Shinjo
- Organizer
  American Mathematical Society Western Fall Sectional Meeting
- Place of Presentation
  University of California, Riverside (アメリカ)
- Year and Date
  2013-11-03
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] The reducivity of knot projections2013
- Author(s)
  A Shimizu
- Organizer
  Topology Seminar
- Place of Presentation
  University of California, Santa Barbara (アメリカ)
- Year and Date
  2013-03-05
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目理論から生まれたゲームとスイッチについて2012
- Author(s)
  清水理佳
- Organizer
  数理情報科学セミナー
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] The reducivity of spherical curves2012
- Author(s)
  A Shimizu
- Organizer
  Friday Seminar on Knot Theory
- Place of Presentation
  大阪市立大学
- Year and Date
  2012-12-17
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目射影図の既約度について2012
- Author(s)
  清水理佳
- Organizer
  神戸トポロジーセミナー
- Place of Presentation
  神戸大学
- Year and Date
  2012-07-14
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] “Region Select” – a game using knot theory!（ポスター発表）2012
- Author(s)
  A. Kawauchi, K. Kishimoto and A. Shimizu
- Organizer
  2012 China International Industory Fair
- Place of Presentation
  Shanghai New International Expo Centre（中国）
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 球面上の結び目射影図の領域の不可避集合について2012
- Author(s)
  清水理佳
- Organizer
  研究集会「結び目の数学V」
- Place of Presentation
  早稲田大学
- Year and Date
  2012-12-23
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 平面曲線の既約度と不可避集合について2012
- Author(s)
  清水理佳
- Organizer
  研究集会「幾何解析とその周辺」
- Place of Presentation
  日光市藤原公民館
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目の射影図の既約度と不可避集合について2012
- Author(s)
  清水理佳
- Organizer
  第24回位相幾何学的グラフ理論研究集会
- Place of Presentation
  横浜国立大学
- Year and Date
  2012-11-17
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 既約な結び目射影図における半ひねりスプライスについて2012
- Author(s)
  清水理佳
- Organizer
  広島大学トポロジー・幾何セミナー
- Place of Presentation
  広島大学
- Year and Date
  2012-05-08
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 平面曲線の既約度について2012
- Author(s)
  清水理佳
- Organizer
  東京女子大学トポロジーセミナー
- Place of Presentation
  東京女子大学
- Year and Date
  2012-12-22
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目理論を応用したゲームとスイッチ2012
- Author(s)
  清水理佳
- Organizer
  数学ソフトウェアとフリードキュメント
- Place of Presentation
  九州大学
- Year and Date
  2012-09-17
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目射影図の領域の不可避集合について2012
- Author(s)
  清水理佳
- Organizer
  2012 琉球結び目セミナー
- Place of Presentation
  てんぶす那覇
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目の射影図の既約度と不可避集合について2012
- Author(s)
  清水理佳
- Organizer
  第25回位相幾何学的グラフ理論研究集会
- Place of Presentation
  横浜国立大学
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目射影図の領域の不可避集合について2012
- Author(s)
  清水理佳
- Organizer
  2012琉球結び目セミナー
- Year and Date
  2012-09-03
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目の射影図の既約度について2012
- Author(s)
  清水理佳
- Organizer
  奈良女子大学数学教室談話会
- Place of Presentation
  奈良女子大学
- Year and Date
  2012-10-25
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] The half-twisted splice operation on reduced knot projections2012
- Author(s)
  A Shimizu
- Organizer
  Friday Seminar on Knot Theory
- Place of Presentation
  大阪市立大学
- Year and Date
  2012-05-11
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] 結び目理論から生まれたゲームとスイッチについて2012
- Author(s)
  清水理佳
- Organizer
  数理科学情報セミナー
- Place of Presentation
  広島大学
- Year and Date
  2012-10-17
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Unavoidable sets of regions for knot projections2012
- Author(s)
  清水理佳
- Organizer
  組合せ論セミナー
- Place of Presentation
  慶応義塾大学
- Year and Date
  2012-12-17
- Data Source
  KAKENHI-PROJECT-24840030
[Presentation] Region crossing change on knot, link and spatial-graph diagrams
- Author(s)
  A Shimizu
- Organizer
  Advanced School and Discussion Meeting on Knot Theory and its Applications
- Place of Presentation
  IISER Mohali (インド)
- Data Source
  KAKENHI-PROJECT-24840030

1. KAWAUCHI Akio (00112524)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
2. KISHIMOTO Kengo (70587774)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
3. KANENOBU Taizo (00152819)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. TAYAMA Ikuo (00382036)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. MORIUCHI Hiromasa (20453128)

# of Collaborated Projects: 2 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. SAKUMA Makoto (30178602)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. NAKANISHI Yasutaka (70183514)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. TANIYAMA Kouki (10247207)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. OOYAMA Toshiyuki (80223981)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. MOTEGI Kimihiko (40219978)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. GOUDA Hiroshi (60266913)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SHIMOKAWA Koya (60312633)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. TERAGAITO Masakazu (80236984)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SATOU Shin (90345009)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. TANAKA Toshihumi (60396851)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. IWAKIRI Masahide (10453127)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. CHON Inde (30587788)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. OTSUKI Tomotada (50223871)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Shimizu Ayaka 清水 理佳

清水 理佳 シミズ アヤカ

SHIMIZU Ayaka 清水 理佳

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結び目の局所変形の研究Principal Investigator

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Applications of knot theory to game and sciences

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Study of knot diagramsPrincipal Investigator

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Studies of knot theory and their applications

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[Book] 結び目理論とゲーム2013

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[Book] 結び目理論とゲーム2013

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[Book] 結び目理論とゲーム2013

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[Book] 結び目理論とゲーム―領域選択ゲームでみる数学の世界―2013

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[Journal Article] Quantization of the crossing number of a knot diagram2015

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[Journal Article] The reductivity of spherical curves2014

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[Journal Article] 結び目理論から生まれたゲームとその仲間達2013

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[Journal Article] Region crossing change is an unknotting operatrion2013

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[Journal Article] 結び目射影図の領域の不可避集合について2013

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[Journal Article] The warping polynomial of a knot diagram2012

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[Journal Article] The half-twisted splice operation on reduced knot projections2012

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Shimizu Ayaka 清水理佳

清水理佳シミズアヤカ

SHIMIZU Ayaka 清水理佳