TANIYAMA Kouki 谷山公規

Researcher Number	10247207
Other IDs
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Affiliation (Current)	2025: 早稲田大学, 教育・総合科学学術院, 教授
Affiliation (based on the past Project Information) *help	2004 – 2024: 早稲田大学, 教育・総合科学学術院, 教授 2016: 教育・総合科学学術院, 教授 2011: 教育・総合科学学術院, 教授 2007: Waseda University, Department of Mathematics School of Education, Professor 2006: Waseda University, Faculty of Education and Integrated Arts and Sciences, Professor, 教育・総合科学学術員, 教授 … More 2004 – 2005: 早稲田大学, 教育学部, 教授 2001 – 2003: 早稲田大学, 教育学部, 助教授 1997 – 2000: 東京女子大学, 文理学部, 助教授 1993 – 1996: 東京女子大学, 文理学部, 講師 1992: 早稲田大学, 教育学部, 助手 Less
Review Section/Research Field	Principal Investigator Geometry / Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry / 解析学 / Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields / Algebra / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 結び目 / 空間グラフ / 絡み目 / バシリエフ不変量 / 平面ジェネリックイマージョン / 不変量対の間の関係 / タングル / 多重度 / spatial graph / Knot … More / 結び目理論 / 位相幾何学 / 位相幾何 / 既約空間グラフ / 特定可能射影 / 同相分割 / ミルナー不変量 / コンウェイ多項式 / クラスプーパス変形 / 結び目解消数 / 局所変形 / 位相的対称性 / リボン型トーラス / Wu不変量 / グラフ / 平面グラフ / 全曲率 / 正則射影 … More Except Principal Investigator 結び目 / 空間グラフ / 3次元多様体 / 結び目理論 / ３次元多様体 / トポロジー / C_n-move / 絡み目 / Vassiliev invariant / Hardy space / 低次元トポロジー / 不変量 / 有限型不変量 / Vassiliev不変量 / 高分子 / knot / D-module / Moonshine VOA / Local move / 量子トポロジー / 局所変形 / 交代結び目 / C_n-distance / シャープ最大関数 / 平面グラフ / グラフ / ポリマー / DNA / Riley slice / 交代絡み目 / 放物的生成系 / ２橋絡み目 / モノドロミー群 / 橋分解 / ザイフェルト曲面 / 強可逆結び目 / Hopfian群 / 自由周期結び目 / 解消トンネル / アキラル / 自由周期 / シンメトリー群 / CAT(0)空間 / デーン手術 / 離散群 / 穴あきトーラス / spatial deformation group / monodromy group / 放物的変換 / Heckoid群 / 測地線 / 放物変換 / 双曲結び目 / 写像類群 / ヘガード分解 / 双曲構造 / クライン群 / ２橋結び目 / 生物 / 化学 / 物理 / Tait conjecture / alternating link / muti-variable Alexander polynomial / conductance of 1 link / bracket / Jones polynomial / global knot theory / thickened surface / 多変数多項式不変量 / conductance / supporting genus of link / リンクの積、合成 / 局所既約 / リンクの交点数 / 交代的リンク / Tait Conjecture / 交代リンク / 多変数Alexander多項式 / リンクの conductance / ブラケット / Jones 多項式 / 大域的結び目理論 / 厚み付き曲面 / finite type invariant / local move / Cn-move / graph / lowdimensional topology / quantum ivariant / 3-manifold / 量子不変量 / Homology sphere / Spatial graph / Ribbon link / boundary link / homology sphere / spatial graph / hemloty sphere / spatila graph / ribbon link / Hardy's theorem / Triebel-Lizorkin space / Sharp maximal function / Fractional integration / Weighted Hardy space / Multilinear operator / Singular integral / ハ-ディの定理 / フーリエ変換 / ソボレフ空間 / 特異積分作用素 / ハ-ディ空間 / ハーディの定理 / トリーベル・リゾルキン空間 / 分数階積分 / 重み付きハーディ空間 / 多重線型作用素 / 特異積分 / ハーディ空間 / 3-Manifolds / Links / Knots / Plane graphs / Spatial graphs / 距離空間 / 仮想結び目 / 位相幾何 / 領域選択ゲーム / 可積分系 / 双曲幾何 / 数理モデル / 4頂点完全グラフ / pass move / 絡み数 / Banach algebra / 延長定理 / アトム分解 / 不分岐拡大 / ガロワ群 / 判別式 / 二次体 / 代数体 / グラフホモローグ / 空間グラフのブック表現 / P-W問題 / エラー訂正コード / 木オートマトン Less

空間グラフのトポロジーPrincipal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Waseda University
３次元双曲多様体上の量子トポロジー
- Principal Investigator
  
  大槻知忠
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto 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
Quantum Topology of knots and 3-manifolds
- Principal Investigator
  
  Ohtsuki Tomotada
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto 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
Multiplicity of a space over another spacePrincipal Investigator
- Principal Investigator
  
  Taniyama Kouki
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Geometric structures and combinaorial structures of 3-manifolds
- Principal Investigator
  
  Sakuma Makoto
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hiroshima University
Topology of knots and 3-manifolds
- Principal Investigator
  
  Ohtsuki Tomotada
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
A study of spatial graphs from topological viewpointPrincipal Investigator
- Principal Investigator
  
  TANIYAMA KOUKI
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda 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
Study of invariants and geometric structures by local moves in Knot Theory
- Principal Investigator
  
  OHYAMA Yoshiyuki
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
Studies of Knot Theory
- Principal Investigator
  
  KAWAUCHI Akio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
A study of spatial graphs from topological viewpointPrincipal Investigator
- Principal Investigator
  
  TANIYAMA Kouki
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Study of local moves and invariants for knots and virtual knots
- Principal Investigator
  
  OHYAMA Yoshiyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
Study of spatial graphs from the topological viewpointPrincipal Investigator
- Principal Investigator
  
  TANIYAMA Kouki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
Research of global knot theory in thickened surfaces
- Principal Investigator
  
  KANETO Takeshi
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  University of Tsukuba
Studies of local moves and finite type invariants in knot theory
- Principal Investigator
  
  OHYAMA Yoshiyuki
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
A study of spatial graphs from topological viewpointPrincipal Investigator
- Principal Investigator
  
  TANIYAMA kouki
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
低次元トポロジーの総合的研究
- Principal Investigator
  
  MURAKAMI Hitoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
空間グラフの位相幾何学的研究Principal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
  Tokyo Woman's Christian University
Study for 3-mainfolds and knots, links and graphs contained in them
- Principal Investigator
  
  KOBAYASHI Kazuaki
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
空間グラフの位相幾何学的研究Principal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
Research on singular integral operators and function spaces
- Principal Investigator
  
  MIYACHI Akihiko
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Woman's Christian University
二次体の上の不分岐拡大について
- Principal Investigator
  
  近藤武
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Woman's Christian University
振動積分作用素と最大関数の研究
- Principal Investigator
  
  宮地晶彦
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tokyo Woman's Christian University
空間グラフの位相幾何学的研究Principal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
3次元・4次元多様体の位相幾何学的研究
- Principal Investigator
  
  小林一章
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
空間グラフの位相幾何学的研究Principal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
アルゴリズムと計算量の研究
- Principal Investigator
  
  守屋悦朗
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo Woman's Christian University
空間グラフの位相幾何学的研究Principal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
空間グラフの位相幾何学的研究Principal Investigator
- Principal Investigator
  
  谷山公規
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Woman's Christian University
Comprehensive Research on Topological Graph Theory
- Principal Investigator
  
  SUZUKI Shinichi
- Project Period (FY)
  1993 – 1994
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  Geometry
- Research Institution
  Waseda University
空間グラフの不度量
- Principal Investigator
  
  SUZUKI Shinichi
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Waseda University

[Book] 結び目理論2023
- Author(s)
  谷山公規
- Total Pages
  184
- Publisher
  共立出版
- ISBN
  9784320113947
- Data Source
  KAKENHI-PROJECT-21K03260
[Journal Article] Crossing numbers and rotation numbers of cycles in a plane immersed graph2022
- Author(s)
  Ayumu Inoue, Naoki Kimura, Ryo Nikkuni and Kouki Taniyama
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 31 Issue: 11
- DOI
  10.1142/s0218216522500766
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03500, KAKENHI-PROJECT-21K03260, KAKENHI-PROJECT-19K03476
[Journal Article] Site-specific Gordian distances of spatial graphs2021
- Author(s)
  Kouki Taniyama
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: 30 Issue: 14 Pages: 1-15
- DOI
  10.1142/s0218216521410169
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03260
[Journal Article] Site-specific Gordian distances of spatial graphs2020
- Author(s)
  K. Taniyama
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02145
[Journal Article] Achiral 1-Cusped Hyperbolic 3-Manifolds Not Coming from Amphicheiral Null-homologous Knot Complements2018
- Author(s)
  Ichihara K.、Jong I. D.、Taniyama K.
- Journal Title
  
  Lobachevskii Journal of Mathematics
  
  Volume: 39 Issue: 9 Pages: 1353-1361
- DOI
  10.1134/s199508021809038x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03287, KAKENHI-PROJECT-16H02145
[Journal Article] Circle arrangements of link projections2017
- Author(s)
  Noboru Ito, Shosaku Matsuzaki and Kouki Taniyama
- Journal Title
  
  Kobe J. Math.
  
  Volume: 34 Pages: 27-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H02145
[Journal Article] Stick number of tangles2017
- Author(s)
  Huh Youngsik、Lee Jung Hoon、Taniyama Kouki
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 26 Issue: 13 Pages: 1750094-1750094
- DOI
  10.1142/s0218216517500948
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02145, KAKENHI-PROJECT-15K13439
[Journal Article] Circle arrangements of link projections2017
- Author(s)
  Noboru Ito, Shosaku Matsuzaki and Kouki Taniyama
- Journal Title
  
  Kobe J. Math.
  
  Volume: 34 Pages: 27-36
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13439
[Journal Article] Strong and weak $(1,3)$ homotopies on knot projections2015
- Author(s)
  N. Ito, Y. Takimura and K. Taniyama
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: to appear
- NAID
  120005986343
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540100
[Journal Article] Strong and weak $(1,3)$ homotopies on knot projections2015
- Author(s)
  N. Ito, Y. Takimura and K. Taniyama
- Journal Title
  
  Osaka J. Math.
  
  Volume: 52 Pages: 617-647
- NAID
  120005986343
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24340012
[Journal Article] Strong and weak $(1,3)$ homotopies on knot projections2015
- Author(s)
  N. Ito, Y. Takimura and K. Taniyama
- Journal Title
  
  Osaka J. Math.
  
  Volume: 52 Pages: 617-647
- NAID
  120005986343
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K13439
[Journal Article] Discontinuous maps whose iterations are continuous2014
- Author(s)
  K. Taniyama
- Journal Title
  
  Nihonkai Mathematical Journal
  
  Volume: 25 Pages: 119-125
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24540100
[Journal Article] Mapping a knot by a continuous map2014
- Author(s)
  K. Taniyama
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 23 Issue: 10 Pages: 1450052-1450052
- DOI
  10.1142/s0218216514500527
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340012, KAKENHI-PROJECT-24540100
[Journal Article] Discontinuous maps whose iterations are continuous2014
- Author(s)
  K. Taniyama
- Journal Title
  
  Nihonkai Math. J.
  
  Volume: 25 Pages: 119-125
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340012
[Journal Article] Plane curves in an immersed graph in R^2.2013
- Author(s)
  M. Sakamoto and K. Taniyama
- Journal Title
  
  J. Knot Theory Ramifications
  
  Volume: 22 Issue: 02 Pages: 1-10
- DOI
  10.1142/s021821651350003x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340012, KAKENHI-PROJECT-24540100
[Journal Article] $\triangle Y$-exchanges and the Conway-Gordon theorems2012
- Author(s)
  Ryo Nikkuni, Kouki Taniyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 7 Issue: 07 Pages: 1-14
- DOI
  10.1142/s0218216512500678
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740046, KAKENHI-PROJECT-24540100
[Journal Article] Multiplicity of a space over another space2012
- Author(s)
  K. Taniyama
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 64 Issue: 3 Pages: 823-849
- DOI
  10.2969/jmsj/06430823
- NAID
  10031177251
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24340012, KAKENHI-PROJECT-24540100
[Journal Article] On intrinsically knotted or completely 3-linked graphs2011
- Author(s)
  R. Hanaki, R. Nikkuni, K. Taniyama, and A. Yamazaki
- Journal Title
  
  Pacific J. Math.
  
  Volume: Vol.252, No.2 Pages: 407-425
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] On intrinsically knotted or completely 3-linked graphs2011
- Author(s)
  R. Hanaki, R. Nikkuni, K. Taniyama, and A. Yamazaki
- Journal Title
  
  Pacific J. Math.
  
  Volume: Vol.252 Issue: 2 Pages: 407-425
- DOI
  10.2140/pjm.2011.252.407
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21244005, KAKENHI-PROJECT-21540099, KAKENHI-PROJECT-21740046
[Journal Article] A graph-theoretic approach to a partial order of knots and links2010
- Author(s)
  T. Endo and T. Itoh and K. Taniyama
- Journal Title
  
  Topology Appl.
  
  Volume: 157 Pages: 1002-1010
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Circle immersions that can be divided into two arc embeddings2010
- Author(s)
  Kouki Taniyama
- Journal Title
  
  Proc.Amer.Math.Soc.
  
  Volume: 138 Pages: 743-751
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Circle immersions that can be divided into two arc embeddings2010
- Author(s)
  K. Taniyama
- Journal Title
  
  Proc. Amer. Math. Soc.
  
  Volume: 138 Pages: 743-751
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Circle immersions that can be divided into two are embeddings2010
- Author(s)
  Kouki Taniyama
- Journal Title
  
  Proc.Amer.Math.Soc. 138
  
  Pages: 743-751
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Braid presentation of spatial graphs2010
- Author(s)
  K. Kanno and K. Taniyama
- Journal Title
  
  Tokyo J. Math.
  
  Volume: 33no.2 Pages: 509-522
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Almost positive links have negative signature2010
- Author(s)
  J. Przytycki and K. Taniyama
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
  
  Volume: Vol.19, No.2 Pages: 187-289
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Symmetries of spatial graphs and Simon invariants2009
- Author(s)
  R. Nikkuni and K. Taniyama
- Journal Title
  
  Fund. Math.
  
  Volume: 205 Pages: 219-236
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] Unknotting numbers of diagrams of a given nontrivial knot are unbounded2009
- Author(s)
  K. Taniyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications
  
  Volume: 18no.8 Pages: 1049-1063
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] An irreducible rectangle tiling contains a spiral2008
- Author(s)
  Tomoe Motohashi, Kouki Taniyama
- Journal Title
  
  Journal of Geometry 90
  
  Pages: 175-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540101
[Journal Article] An irreducible rectangle tiling contains a spiral, Journal of Geometry2008
- Author(s)
  T. Motohashi and K. Taniyama,
- Journal Title
  
  90
  
  Pages: 175-184
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540101
[Journal Article] 2^irreducibility of spatial graphs2006
- Author(s)
  F.Lei, K.Taniyama, G.Zhang
- Journal Title
  
  J.KnotTheory Ramifications 15
  
  Pages: 31-41
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] 2-irreducibility of spatial graphs2006
- Author(s)
  F.Lei, K.Taniyama, G.Zhang
- Journal Title
  
  Journal of Knot Theory and its Ramifications 15
  
  Pages: 31-41
- Data Source
  KAKENHI-PROJECT-18540101
[Journal Article] 2-irreducibility of spatial graphs2006
- Author(s)
  F.Lei, K.Taniyama, G.Zhang
- Journal Title
  
  J.Knot Teory Ramitications 15
  
  Pages: 31-41
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] 2-irreducibility of spatial graphs2006
- Author(s)
  Fengchun Lei, Kouki Taniyama, Gengyu Zhang
- Journal Title
  
  Journal of Knot Theory and its Ramifications Vol.15, No.1
  
  Pages: 31-41
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Newly found forbidden graphs for trivializability2005
- Author(s)
  Ryo Nikkuni,(K. TANIYAMA, et. al.)
- Journal Title
  
  J. Knot Theory and its Ramif. 14
  
  Pages: 523-538
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540062
[Journal Article] Newly found forbidden graphs for trivializability2005
- Author(s)
  Ryo Nikkuni, (K.TANIYAMA et al.)
- Journal Title
  
  Journal of Knot Theory and its Ramifications 14・4
  
  Pages: 523-538
- Data Source
  KAKENHI-PROJECT-17540062
[Journal Article] Newly found forbidden graphs for trivializability2005
- Author(s)
  R.Nikuni, M.Ozawa, K.Taniyama
- Journal Title
  
  J.Knot Teory Ramitications 14
  
  Pages: 523-538
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Newly found for biddun graphs for tvivializability2005
- Author(s)
  R.Nikkunl, M.Ozawa, Y.Tsutsumi, K.Taniyama
- Journal Title
  
  J.KnotTheory Ramifications 14
  
  Pages: 523-538
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Newly found forbidden graphs for trivializability2005
- Author(s)
  Ryo Nikkuni, Makoto Ozawa, Yukihiro Tsutsumi, Kouki Taniyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications Vol.14, No.4
  
  Pages: 523-538
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Identifiable projections of spatial graphs2004
- Author(s)
  Y.Huh, K.Taniyama
- Journal Title
  
  J.KnotTheory Ramifications 13
  
  Pages: 991-998
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Identifiable projections of spatial graphs2004
- Author(s)
  Y.Huh, K.Taniyama
- Journal Title
  
  J.Knot Teory Ramitications 13
  
  Pages: 991-998
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Identifiable projections of spatial graphs2004
- Author(s)
  Y.Huh, K.Taniyama
- Journal Title
  
  Journal of Knot Theory and its Ramifications 12
  
  Pages: 991-998
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Alarge complete graph contains a link with large link inuariant2003
- Author(s)
  M.shirai, k.Taniyama
- Journal Title
  
  J.KnotTheory Ramifications 12
  
  Pages: 915-919
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] A large complete graph contains a link with large link invariant2003
- Author(s)
  M.shirai, K.Taniyama
- Journal Title
  
  J.Knot Teory Ramifications 12
  
  Pages: 915-919
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Local moves on spatial graphs and finite type invariants2003
- Author(s)
  K.Taniyama, A.Yasuhara
- Journal Title
  
  Pacific J. Math. 211
  
  Pages: 183-200
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Homology calssification of spatlnlgunphs by libuiu numbers and Siman lunulaats2003
- Author(s)
  R.Shinjo, K.Taniyama
- Journal Title
  
  Topology Appl. 134
  
  Pages: 53-67
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Local moves on spatial graphs and finite type invariants2003
- Author(s)
  K.Taniyama, A.Ymsuhara
- Journal Title
  
  Pacific J.Math. 211
  
  Pages: 183-200
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Homology classification of spatial graphs by linking numbers and Simon invariants2003
- Author(s)
  R.Shinjo, K.Taniyama
- Journal Title
  
  Topology Appl. 134
  
  Pages: 53-67
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540097
[Journal Article] Multiplicity of a space over another space
- Author(s)
  K. Taniyama
- Journal Title
  
  Journal of the Mathematical Society of Japan
- NAID
  10031177251
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] An irreducible rectangle tiling contains a spiral
- Author(s)
  Tomoe Motohashi and Kouki Taniyama
- Journal Title
  
  Journal of Geometry (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540101
[Journal Article] Unknotting numbers of diagrams of a given nontrivial knot are unbounded, to appear in J. Knot Theory and Ramifications
- Author(s)
  K. Taniyama
- Journal Title
  
  [掲載確定]
  
  Pages: 0-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540101
[Journal Article] An irreducible rectangle tiling contains a spairal
- Author(s)
  T. Motohashi(and K. TANIYAMA)
- Journal Title
  
  Journal of Geometry (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540062
[Journal Article] $\triangle Y$-exchanges and the Conway-Gordon theorems
- Author(s)
  R. Nikkuni and K. Taniyama
- Journal Title
  
  Journal of Knot Theory and Its Ramifications
- Data Source
  KAKENHI-PROJECT-21540099
[Journal Article] An irreducible rectangle tiling contains a spairal
- Author(s)
  T. Motohashi(and K. TANIYAMA)
- Journal Title
  
  Journal of Geometry To appear
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540062
[Presentation] Unknotting numbers and crossing numbers of spatial embeddings of a planar graph2020
- Author(s)
  谷山公規
- Organizer
  Friday Seminar on Knot Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02145
[Presentation] Recursive sequences of points in a magma2019
- Author(s)
  谷山公規
- Organizer
  可換 Banach 環と関連分野研究集会
- Data Source
  KAKENHI-PROJECT-16H02145
[Presentation] Realization of Knots and Links in a Spatial Graph2017
- Author(s)
  Kouki Taniyama
- Organizer
  MAA MathFest 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] Realization of Knots and Links in a Spatial Graph2017
- Author(s)
  Kouki Taniyama
- Organizer
  MAA MathFest 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H02145
[Presentation] A common stabilization of diagrams of a knot2016
- Author(s)
  谷山公規
- Organizer
  等距離写像研究の多角的アプローチ
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-10-31
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] Stick number of tangles2016
- Author(s)
  谷山公規
- Organizer
  研究集会「結び目の数学IX」
- Place of Presentation
  日本大学文理学部
- Year and Date
  2016-12-22
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] A common stabilization of diagrams of a knot2016
- Author(s)
  谷山公規
- Organizer
  東北結び目セミナー2016
- Place of Presentation
  東北大学片平キャンパス
- Year and Date
  2016-10-15
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] Site-specifc Gordian distances of spatial graphs2015
- Author(s)
  K. Taniyama
- Organizer
  Conference on Knot Theory and Its Applications to Physics and Quantum Computing
- Place of Presentation
  The University of Texas at Dallas
- Year and Date
  2015-01-07
- Data Source
  KAKENHI-PROJECT-24540100
[Presentation] Totally close spatial embeddings of a graph2015
- Author(s)
  K. Taniyama
- Organizer
  AMS Sectional Meeting AMS Special Session
- Place of Presentation
  Fullerton
- Year and Date
  2015-10-25
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] Totally close spatial embeddings of a graph2015
- Author(s)
  谷山公規
- Organizer
  拡大KOOKセミナー2015
- Place of Presentation
  神戸大学百年記念館六甲ホール
- Year and Date
  2015-08-20
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] Component-specific unknotting numbers of links2015
- Author(s)
  谷山公規
- Organizer
  第88回米沢数学セミナー
- Place of Presentation
  山形大学工学部百周年記念会館
- Year and Date
  2015-06-28
- Data Source
  KAKENHI-PROJECT-15K13439
[Presentation] Site-specifc Gordian distances of spatial graphs2015
- Author(s)
  K. Taniyama
- Organizer
  Conference on Knot Theory and Its Applications to Physics and Quantum Computing
- Place of Presentation
  University of Texas at Dallas
- Year and Date
  2015-01-07
- Data Source
  KAKENHI-PROJECT-24340012
[Presentation] Totally close spatial embeddings of a graph2015
- Author(s)
  K. Taniyama
- Organizer
  AMS Sectional Meeting AMS Special Session
- Place of Presentation
  Fullerton (USA)
- Year and Date
  2015-10-25
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24340012
[Presentation] Discontinuous maps whose iterations are continuous2014
- Author(s)
  谷山公規
- Organizer
  第87回米沢数学セミナー
- Place of Presentation
  山形大学工学部
- Year and Date
  2014-06-18
- Data Source
  KAKENHI-PROJECT-24540100
[Presentation] Plane curves in an immersed graph in R^32013
- Author(s)
  Kouki Taniyama
- Organizer
  International Workshop on Spatial Graphs 2013
- Place of Presentation
  Tokyo Woman’s Christian University
- Invited
- Data Source
  KAKENHI-PROJECT-24340012
[Presentation] Circle immersions that can be divided into two arc embeddings2009
- Author(s)
  K. Taniyama
- Organizer
  KNOTS IN WASHINGTON XXVIII
- Place of Presentation
  George Washington University, Washington DC, USA.
- Year and Date
  2009-02-28
- Data Source
  KAKENHI-PROJECT-18540101
[Presentation] Unknotting numbers of diagrams of a given nontrivial knot are unbounded2008
- Author(s)
  K. Taniyama
- Organizer
  KNOTS IN WASHINGTON XXVI
- Place of Presentation
  George Washington University, Washington DC, USA.
- Year and Date
  2008-04-20
- Data Source
  KAKENHI-PROJECT-18540101
[Presentation] Symmetries of spatial graphs and Simon invariants2006
- Author(s)
  Kouki TANIYAMA
- Organizer
  Topology of knots IX
- Place of Presentation
  Nihon University
- Year and Date
  2006-12-19
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540062
[Presentation] Identifiable projections of certain planar graphs2005
- Author(s)
  Kouki TANIYAMA
- Organizer
  The Second East Asian School of knots and Related Topics
- Place of Presentation
  Ddiian University of Technology(China)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540062
[Presentation] Plane curves in an immersed graph in ${\mathbb R}^3$
- Author(s)
  Kouki Taniyama
- Organizer
  International Workshop on Spatial Graphs 2013
- Place of Presentation
  Tokyo Woman’s Christian University
- Data Source
  KAKENHI-PROJECT-24540100

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TANIYAMA Kouki 谷山 公規

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Multiplicity of a space over another spacePrincipal Investigator

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A study of spatial graphs from topological viewpointPrincipal Investigator

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A study of spatial graphs from topological viewpointPrincipal Investigator

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Study of spatial graphs from the topological viewpointPrincipal Investigator

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TANIYAMA Kouki 谷山公規