Ishikawa Goo 石川剛郎

… Alternative Names

Researcher Number	50176161
Other IDs
External Links
Affiliation (Current)	2020: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help	2016 – 2020: 北海道大学, 理学研究院, 教授 2011 – 2016: 北海道大学, 理学(系)研究科(研究院), 教授 2015: 北大, 大学院理学研究科, 教授 2015: 北海道大学, 大学院理学研究院, 教授 2014: 北海道大学, 大学院理学研究科, 教授 … More
Review Section/Research Field	Principal Investigator Geometry / Geometry / Global analysis / Global analysis / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Geometry / 代数学・幾何学 / Algebra / Algebra / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator ルジャンドル特異点 / 接触構造 / 接触幾何 / ラグランジュ特異点 / Monge-Ampere equation / 特異点論 / 可展開面 / 射影幾何 / 可展面 / ルジャンドル多様体 … More Except Principal Investigator 特異点 / モンジュ・アンペール方程式 / シンプレクティック構造 / 可積分系 / 接触変換 / 特異点論 / 幾何構造 / 巾零幾何 / 巾零解析 / 正則曲線 / 接触構造 / Web / 特性類 / ラグランジュ特異点 / Floer 理論 / 擬正則曲線 / 旗多様体 / トーリック多様体 / nilpotent analysis / nilpotent geometry / 特異多様体 / 可積分測地流 / Integrable geodesic flow / Integrable system / 特異葉層構造 / 微分幾何学 / 特異点解消 / 特性類の局所化 / 留数 / 交叉理論 / ルジャンドル特異点 / 双対性 / ミンコフスキー空間 / 双曲空間 / symplectic 構造 / Lagrange 部分多様体 / A-無限大構造 / ツイスター理論 / 微分方程式 / ミラー対称性 / 幾何学 / 等径超曲面 / 外在的幾何 / サブリーマン幾何 / K3曲面 / 6次曲線 / 基本群 / ガウス写像 / ラグランジュ部分多様体 / 葉層 / ハミルトン力学 / シンプレクティック幾何学 / リウヴィル多様体 / Hamiltonian mechanics / Liouville manifolds / カルタン接続 / K3 surface / 特異点集合 / 単純階別リー環 / 局所同値問題 / 特異性 / トム多項式 / Chern類 / 擬球面 / 相対性理論 / 変形理論 / Floer理論 / コーン場 / リー代数表現 / 重みつき微分方程式 / グルサー方程式 / インスタントン / ルジャンドル特異点論 / クレロー方程式 / 離散化 / 接触幾何学 / フィルター付き多様体 / リー環の表現と微分方程式 / 国際研究者交流 / 超特異性 / 分岐被覆 / 力学系 / 超曲面 / 4頂点定理 / 非線形現象 / 世界面 / モンジュ・アンペール系 / 不変量 / 微分方程式の幾何 / Foliation / singular varieties / 単純特異点 / 安定性 / 衝撃波 / ハミルトン・ヤコビ方程式 / 複素力学系 / 半古典近似 / Symplectic geometry / Riemannian geometry / Geodesic flow / Semiclassical approximation / Sophus Lie / Monge-Ampere equation / フロアー・ホモロジー / Floerホモロジー / Floer homology / symplectic structure / contact structure / Zoll / Cartan connection / singularity / 格子 / plane curve / lattices / supersingularity / rational double point / fundamental group / dual variety / Baum-Bottの留数 / Lehmannの留数 / 微分式系(difefrential system) / ハミルトン-ヤコビ-ベルマン / 保存則 / クレロー型方程式 / 複素解析的特異葉層構造 / 不変部分多様体 / Cech-de Rham cohomology / 特性類の留数 / 微分式系(differential system) / ハミルトン-ヤコビ方程式 / ラグランジュ特異部分多様体 / 平均曲率の発展方程式 / モチビック不変量 / 映像理論 / Todd類 / Thom類 / Lefschetz不動点定理 / 特異チャーン類 / チャーン・マクファーソン自然変換 / 構成的関数 / 代数的スタック / 同変ホモロジー / 局所化公式 / シューベルト計算 / チャーン類 / オービフォルド / 微分幾何 / 偏微分方程式 / シンプレクテイック幾何 / 接触幾何 / 画像処理,ブレーン宇宙 / 重力場レンズ / 反ドジッター空間 / ブレーン / 斜傾幾何学 / ルジャンドル双対性 / 双対性の曼荼羅 / 画像処理 / 反ド・シッター空間 / ガウス・ボンネ型定理 / ホロタイトはめ込み / ホロ凸 / ホロ平坦 / シンプレクテイック幾何学 / ホロ球面 / 線形ワインガルテン曲面 / 非ブライアント型 / A_∞-構造 / 概正則曲線 / Floer theory / Lagrangian submanifolds / Gromov-Witten invariants / flux conjecture / A-infinity structure / quantum cohomology / toric manifolds / Floer cohomology / pseudo-holomorphic curves / A-infinity algebra / Hamiltonian diffeomorphisms / 超行列式 / 超幾何微分方程式 / ベックルント変換 / 部分多様体 / 近ケーラー多様体 / ラグランジュ・グラスマン双対 / エンゲル・ルジャンドル双対 / 超曲面の幾何学 / 離散幾何学 / パンルヴェ方程式 / カオス性 / 量子コホモロジー / 軌道の幾何学 / 運動量写像 / 可積分な運動 / 離散変形KdV方程式 / Ricci soliton / tt戸田格子 / クレパント解消予想 / G_2軌道 / 特異点のモデュライ / 調和写像論 / Yang-Mills接続 / アインシュタイン計量 / 量子コホモロジー論 / 微分式系 / 階別単純リー環 / 包合系 / 高次ジェット空間 / 有限型微分方程式系 / 旗多様体での外在的幾何 / 線形偏微分方程式系の不変量 / カルタン幾何 / オーストリア:ベラルーシュ:イタリア:フランス:ポーランド / ネロン・セヴェリ格子 / 超越格子 / 超特異K3曲面 / 射影モデル / 平面6次曲線 / 格子理論 / フロベニウス固有値 / 単有理性 / 2次剰余符号 / ザリスキ・ファンカンペン / 単純K3特異点 / 有理2重点 / ザリスキペア / ザリスキ・ファンカンペンの定理 / 擬正則写像 / toric 多様体 / symplectic構造 / Lagrange部分多様体 / toric多様体 / A-infinity構造 / Hamilton系 / ３次元トポロジー / 位相不変量 / 計算機支援 / 体積 / ２次特性類 / 葉層構造 / 3次元トポロジー / 2次特性類 / 双曲幾何 / 錐多様体 / ガウス曲率 / 半正定値計量 / 曲面 / 曲線 / 波面 / ４頂点定理 / 極大曲面 / ガウス・ボンネの定理 / 変曲点 / ローレンツ空間形 / 光的幾何学 / 焦集合 / 光的絶対全曲率 / 光的超曲面 / 事象の地平線 / 大域的性質 / ミンコフスキー時空 / 空間的部分多様体 / 余次元 / 宇宙論 / 余次元2 / 管状部分多様体 / D_4図式 / 共形３対性 / 超幾何積分 / ガウス・マニン接続 / 次数つきリー代数表現 / 線形微分方程式系 / D_4型旗多様体 / 共形3対性 / ラグランジュ・グラスマン射影双対 / 終結式 / 非ガウス型積分 / 内在的幾何 / 微分方程式系 / Klein-Cartan programme / Klein-Cartan Program / 微分方程式系の不変量 / 剛性定理 / 線形偏微分方程式 / Klein-Cartanプログラム / 外在幾何 / リー環の表現と幾何 / A 無限大構造 / 倉西構造と仮想的基本鎖 / スペクトル不変量 / 倉西構造 / ハミルトン微分同相写像 / 正則曲線と量子コホモロジー / スピントロニクス / 垂足部分集合 / カスプ辺 / トポロジカル絶縁体 / 光化学反応 / ホログラフィー原理 / バルクエッジ対応 / バンド交差 / ツバメの尾曲面 / 垂足曲線 / グラフ型大波面 / 焦点集合 / バンド交差理論 / グラフ型波面 / Darboux枠 / 複素解析幾何学 / 特異点理論 / 開折理論 / 特異点の留数 / 時異葉層構造 / 開析理論 / 解複体 / 特性多様体 / Complex analytic geometry / Singularity theory / Singular foliation / Unfolding theory / Singular set / 3次元3次超曲面 / C^3のcompact化 / ベクトル場の留数 / 準線形微分方程式 / Whiteneyの開いた傘 / Lagrange安定 / 複素多様体 / 3次超曲面 / ファノ多様体 / A cubic threefold / Compactifications of C^3 / Residue of a vector field / Open Whitney umbrella / Quasi-linear differential equation / Lagrange stable / Wed / ベクトル場 / 指数と留数 / 局所化 / ベットル場 / 正則ベクトル場 / vector fields / singular foliations / indices and residues / localization / characteristic classes / 表現論 / Mackey反応 / アーベル多様体 / モジュライ / McKay対応 / マッカイ対応 / 商特異点 / ヒルベルトスキーム / スタビリィティ(安定性) / ヒルベルトスキーム / マッケイ対応 / ツイスター空間 / ハイパーケーラー多様体 / モノドロミ- / 横断性定理 / Representation / Singularity / Simple singularity / McKay correspondence / Abelian variety / moduli / Stability / Hamilton-Jacobi方程式 / 保存則の方程式 / 粘性解 / ファセット面 / ギンツブルブランダウ方程式 / ラグランジ安定性 / コホモロジー / ギンツブルクランダウ方程式 / シンプレクティック多様体 / 非線形偏微分方程式 / ルジャンドル組み紐 / シュレディンガー方程式 / Hamilton-Jacobi equations / Conservation laws / Viscosity sokutions / Shock waves / Fascet surfaces / Ginzburg-Landau equations / Lagrangian stability / Cohomology / 接触交換 / 超幾何方程式系 / 準線形二階偏微分方程式 / 超性解の分岐 / ラフランシュ安定性 / 超楕円写像類群 / 準線形一階偏微分方程式 / 例外形単純リー環 / 二階の過剰決定系 / 二階偏微分方程式系 / 例外単純リー環 / 同値問題 / 超幾何微分方程式系 / Contact Transformation / Hypergeometric Systems / Quasi-linear First Order PDE / Viscosity Solution / Lagrange Stability / Hyperelliptic mopping class groups / WEB / CHERN接続 / 非可解群作用 / 一階偏微分方程式 / 高階拳微分方程式 / 高階偏微分方程式 / 一階微分方程式 / ルジャンドル / pseudo group / 留数公式 / Chern onnection / Complex dynamics / Non solvable Dynamics / First Order PDE / Higher Order ODE / リーマン多様体 / 測地線 / クウヴィル多様体 / アイコナル方程式 / 重力レンズ / 線織面 / 双曲的ガウス写像 / ラグランジュはめ込み / 弱解 / ヘルムホルツ方程式 / 漸近解 / ダルブー可展開面 / コンピュータグラフィックス / 特性曲線 / ローレンツ微分幾何学 / 双曲平面 / ベルトラン曲線 / コンピュータ・グラフィックス / ヘルムポルツ方程式 / ローレンツ微分幾何 / 光的曲面 / 双曲的縮閉線 / The Eikonal equations / Gravitation lens / Minkowski space / ruled surface / four vertices theorem / hyperbolic Gauss map / Lagrangian immersion / Weak solution / ソフィス・リー / リー群 / 微分方程式の不変量 / ソフィス・リ- / Monge-Ampere方程式 / geometric structure / リーマン・ロッホ / コーエン・マコーレー化 / オルタレーション / resolution of singularity / Riemann-Roch / Cohen-Macaulayfication / singular variety / 高階有限型微分方程式系 / 調和写像と可積分系 / 測地流と可積分系 / Gauss-Schwarz理論 / Gaup.Schwary理論 / 解の特異点 / 調和写像 / 高階有限型微分方程式 / 射影部分多様体論 / 過剰決定系 / Contact transformations / Monge-Ampere equations / Systems of higher order partial differential equations of finite type / Harmonic mappings and Integrable systems / Geodesic flows and Integrade systems / Gauss-Schwarz theory / 特性類の局所他 / Schwartz-MacPherson類 / Fulton-Jphnsan類 / Milnor類 / 多重度 / 連接層 / Riemann-Rochの定理 / Fulton-Johnson類 / Milnor数 / Riemanu-Rochの定理 / localization of characteristic classes / Schwartz-MacPherson class / Fulton-Johnson class / Milnor class / multiplicity / coherent sheaves / Riemann-Roch theorem / フロアーホモロジー / シンプレクティック・フィリング / ミルナー・ファイバー / A_∞-代数 / モノポール方程式 / Lagrangian submanifold / simple singularity / リーマン幾何学 / 測地流 / シンブレクティック幾何学 / ケーラー・リウヴィル多様体 / マスロフの量子化条件 / 周期的測地流 / 楕円体 / Zoll計量 / バミルトン力学 / Periodic geodesic flow / Symplectiic geometry / Eillipsoid / 定性論 / 相似変換擬群 / 例外的極小集合 / foliation / quaolitative theory / similarity pseudogioup / exceptional minimal sec / サブリーマン多様体 / サブリーマン構造 / サブリーマン接触多様体 / カルノ・カラテオドリー計量 / filtered manifold / subriemannian manifold / フロアー・コホモロジー / 孤立特異点 / pseudo holomorphic curve / 符号 / 代数曲面 / ガロア被覆 / 柊子 / 代数多様体 / tundamental group / lattice / code / algebraic surface / Galocs cover / 等質超曲面 / 例学ホロノミー / 平均曲率一定曲面 / 全曲率 / 4元数ケーラー多様性 / サイバーグウィッテン方程式 / 等径・等質超曲面 / 例外ホロノミー / 距離空間のモジュライ / 四元数ケーラー多様体 / ラグランジュ・ルジャンドル部分多様体 / ラグランジュ錐 / DS-diagram / Einstein計量 / Seiberg-Witten不変量 / 概複素曲線 / 平均曲率-定曲面 / isoparametric hypersurface / homogeneous hypersurface / exceptional holonomy / Gauss map / constant mean curvature surface / total curvature / 4 dimensional Kahler manifold / Seiberg-Witten equation / モンジュ・アンベール方程式 / 2階常微分方程式 / ルジャンドル測地線 / 非ホロノーム分布 / ラグランジェ部分空間対 / 3次コーン構造 / ルジャンドル観測線 / 超幾何方程式 / ラプラス方程式 / 半平坦部分接続 / 双曲構造 / 非可換性 / twistor theory / Goursat equation / Clairaut equation / instanton / Legendre singularity theory / 位相幾何学 / 変換群 / 力学素 / ホモトピー論 / 光錐 / 平行超曲面 / ルジャンドル多様体 / 結び目理論 / 変換群論 / 4次元多様体 / モース理論 / Singularities / Topology / Differential Geometry / Dynamical System / Transformation group / 局所Euler障害 / 複素葉層構造 / 交点理論 / 切断の組 / Thom-Porteous公式 / Singular varieties / Localization of characteristic classes / Residues / Chern classes / Local Euler obstructions / Holomorphic foliations / Complex dynamical systems / Intersection theory / リー環の表現と微分方程式系 / subriemannian geometry / representation of Lie algebra and system of PDEs / 平面曲線 / グレブナー基底 / 正標数 / 多項式写像芽 / 特異点消去 / 埋め込み / はめ込み / 特異ファイバー / 同境群 / データ可視化 / 可微分写像 / 構造安定性 / 実多項式写像芽 / 配置空間 / ブラジル：フランス / 同境 / 特異性類 / 特異Lefschetz束 / フランス:ドイツ:ブラジル / フランス:ドイツ:ベトナム:ブラジル / 極小ラグランジュ部分多様体 / L2調和形式 / 共形型 / ハミルトン変形 / 交叉数 / フレアホモロジー / 平均曲率流 / トランスレイティングソリトン / リッチ流 / L2調和1形式 / トランスノーマル関数 / 等径関数 / モーメント写像 / スピン作用 / 可積分幾何 / エントロピー / tt幾何 / スペシャル幾何 / 可視化 / シンプレクティック構造 Less

Studies on Floer theory and symplectic, contact structuresOngoing
- Principal Investigator
  
  小野薫
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyoto University
Developments and Applications of Geometric Singularity TheoryPrincipal InvestigatorOngoing
- Principal Investigator
  
  石川剛郎
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Hokkaido University
Application of sub-Riemannian geometry to vision modelPrincipal Investigator
- Principal Investigator
  
  Ishikawa Goo
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Developments and applications of geometric singularity theoryPrincipal Investigator
- Principal Investigator
  
  Goo Ishikawa
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Development of Floer theory and study on symplectic structures
- Principal Investigator
  
  ONO Kaoru
- Project Period (FY)
  2014 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
Geometric studies on singularity of non-linear phenomena
- Principal Investigator
  
  Izumiya Shyuichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Development of nilpotent geometry and nilpotent analysis II
- Principal Investigator
  
  MORIMOTO Tohru
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Doshisha University
  Kinki University
The construction of infinite dimensional singularity theory of completely non-integrable systems and its applications to the singular motion-planning problemPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Goo
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido 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
Development of Integrable Geometry
- Principal Investigator
  
  Miyaoka Reiko
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Deepening three-manifold theory
- Principal Investigator
  
  KOJIMA Sadayoshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
Geometry of curves, surfaces and hypersurfaces with singularities
- Principal Investigator
  
  UMEHARA Masaaki
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tokyo Institute of Technology
  Osaka University
A research on the geometric singularities of non-linear phenomena
- Principal Investigator
  
  IZUMIYA Shyuichi
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometryPrincipal Investigator
- Principal Investigator
  
  GOO Ishikawa
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
Study on relations between differential equations and geometric structures by the method of twistor theory
- Principal Investigator
  
  MACHIDA YOSHINORI
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Numazu College of Technology
Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures
- Principal Investigator
  
  ONO Kaoru
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
  Hokkaido University
量子フェーズ特異点論と新しい幾何光学Principal Investigator
- Principal Investigator
  
  石川剛郎
- Project Period (FY)
  2009 – 2010
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
K3 surfaces and related algebraic varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hiroshima University
Correlation between differential equations, geometric structures, and twistor theory
- Principal Investigator
  
  MACHIDA Yoshinori
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Numazu College of Technology
Fusion of geometry and the theory of integrable systems
- Principal Investigator
  
  MIYAOKA Reiko
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
Research on the differential sysytems and geometric structures associated with simple graded Lie algebras
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Developments of nilpotent geometry and nilpotent analysis
- Principal Investigator
  
  MORIMOTO Tohru
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
  Nara Women's University
トロピカル幾何の位相代数幾何への応用Principal Investigator
- Principal Investigator
  
  石川剛郎
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Differential Geometry and Partial Differential Equations as an application of Singularity theory
- Principal Investigator
  
  IZUMIYA Shyuichi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Study on Floer theory and symplectic geometry
- Principal Investigator
  
  KAORU Ono
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Explicit Study of Algebraic Varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Equivariant theory of Chern classes, Integrals based on Euler characteristics and related topics
- Principal Investigator
  
  OHMOTO Toru
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Developments of nilpotent geometry and nilpotent analysis, and subriemannian geometry
- Principal Investigator
  
  MORIMOTO Tohru
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
Research on several geometry from the view point of sinuglarity theory
- Principal Investigator
  
  IZUMIYA Shyuichi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Residues on Singular Varieties
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Niigata University
  Hokkaido University
特異点論とその応用
- Principal Investigator
  
  泉屋周一
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Todd類の源を求めて
- Principal Investigator
  
  諏訪立雄
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Floor homology, singularities and deformation theory
- Principal Investigator
  
  ONO Kaoru
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Applied singularity theory to exterior differential systemsPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Goo
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Fundamental groups of algebraic varieties
- Principal Investigator
  
  SHIMADA Ichiro
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Differential equations and theory of submanifolds
- Principal Investigator
  
  MIYAOKA Reiko
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kyushu University
  Sophia University
Twistor correspondence between different geometric structures and application to differential equations and field theory
- Principal Investigator
  
  MACHIDA Yoshinori
- Project Period (FY)
  2002 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Numazu National College of Technology
Integrable geodesic flows and Masloy's quantization condition
- Principal Investigator
  
  KIYOHARA Kazuyoshi
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Geometries related to foliations
- Principal Investigator
  
  NISHIMORI toshiyuki
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Geometric structures and differential equations on filtered manifolds
- Principal Investigator
  
  MORIMOTO Tohru
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
コントロール理論への特異点論の応用Principal Investigator
- Principal Investigator
  
  石川剛郎
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
Research of Systems of Partial Differential Equations from the view point of Contact Geometry
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Research on Characteristic Classes of Singular Varieties
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Symplectic structures and singularities
- Principal Investigator
  
  ONO Kaoru
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Integrable geodesic flows and semi-classical approximations
- Principal Investigator
  
  KIYOHARA Kazuyoshi
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Singularity theoretical research on Partial Differential Equations and Differential Geometry
- Principal Investigator
  
  IZUMIYA Shyuichi
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Projective contact geometry and singularity theoryPrincipal Investigator
- Principal Investigator
  
  ISHIKAWA Goo
- Project Period (FY)
  1998 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDOUNIVERSITY
Geometric and group-theoretic studies on differential equations
- Principal Investigator
  
  MORIMOTO Tohru
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Nara Women's University
  Kyoto University of Education
Resolution of singularities in arbitrary characteristic
- Principal Investigator
  
  KURANO Kazuhiko
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  TOKYO METOROPOLITAN UNIVERSITY
Classical theory and quantization on integrable geodesic flows
- Principal Investigator
  
  KIYOHARA Kazuyoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Study of singularities and geometry by means of representation theory
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  1996 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Geometry and Analysis of non-linear Partial Differentail Equations
- Principal Investigator
  
  IZUMIYA Shyuichi
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Contact Geometry of Second Order
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  1996 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido Univ.
First Order Partial Differential Equation and WEB Geometry
- Principal Investigator
  
  NAKAI Isao
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
Research on Complex Analytic Geometry and Singularity Theory
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Contact geometric singularity theory of projective varieties.Principal Investigator
- Principal Investigator
  
  ISHIKAWA Go-o
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  HOKKAIDO UNIVERSITY
複素解析的葉層構造の特異点の研究
- Principal Investigator
  
  諏訪立雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
二階の接触幾何学
- Principal Investigator
  
  山口佳三
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
偏微分方程式の幾何と解析
- Principal Investigator
  
  泉屋周一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Study on Complex Manifolds
- Principal Investigator
  
  NAKAMURA Iku
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
偏微分方程式の幾何学的理論と特異点
- Principal Investigator
  
  泉屋周一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
シンプレクティック幾何と接触幾何の特異点論的研究Principal Investigator
- Principal Investigator
  
  石川剛郎
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
複素解析的葉層構造の特異点の研究
- Principal Investigator
  
  TATSUO Suwa
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
二階の接触幾何学
- Principal Investigator
  
  YAMAGUCHI Keizo
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hokkaido University
Research on Complex Analytic Geometry and Singularity Theory
- Principal Investigator
  
  SUWA Tatsuo
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (B)
- Research Field
  
  代数学・幾何学
- Research Institution
  Hokkaido University

[Book] 論理・集合・数学語2015
- Author(s)
  石川剛郎
- Total Pages
  190
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-15H03615
[Book] Singularities of Curves and Surfaces in Various Geometric Problems2015
- Author(s)
  Goo Ishikawa
- Total Pages
  94
- Publisher
  Center for Advanced Studies, Warsaw University of Technology, Warsaw
- Data Source
  KAKENHI-PROJECT-15H03615
[Book] Singularities of Curves and Surfaces in Various Geometric Problems2015
- Author(s)
  Goo Ishikawa
- Total Pages
  94
- Publisher
  Center for Advanced Studies, Warsaw University of Technology, Warsaw
- Data Source
  KAKENHI-PROJECT-15K13431
[Book] 論理・集合・数学語2015
- Author(s)
  石川剛郎
- Total Pages
  190
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-15K13431
[Book] Singularity theory and Its Applications, Advanced Studies in Pure Mathematics2006
- Author(s)
  S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada, T. Sano
- Publisher
  Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-18340013
[Book] Singularity theory and Its Applications2006
- Author(s)
  S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada and T. Sano
- Publisher
  Pure Mathematics vol. 43 Mathematical Society of Japan
- Data Source
  KAKENHI-PROJECT-18340013
[Book] Perturbations of Caustics and Fronts, Vol.622004
- Author(s)
  G.Ishikawa
- Publisher
  Banach Center
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Book] Symplectic singularities of isotropic mappings, vol.652004
- Author(s)
  G.Ishikawa
- Publisher
  Banach Center
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Singular mappings and their zero-forms.2020
- Author(s)
  G Ishikawa, S. Janeczko
- Journal Title
  
  Pure and Applied Mathematics Quarterly
  
  Volume: 出版確定
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03458
[Journal Article] Duality of (2,3,5)-distributions and Lagrangian cone structures2020
- Author(s)
  Goo Ishikawa, Yumiko Kitagawa, Asahi Tsuchida, Wataru Yukuno
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 出版確定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03458
[Journal Article] Recognition Problem of Frontal Singularities2020
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Journal of Singularities
  
  Volume: 21
- DOI
  10.5427/jsing.2020.21i
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03458, KAKENHI-PROJECT-18K18714
[Journal Article] Cofrontals2019
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Romanian Journal of Pure and Applied Mathematics
  
  Volume: 60-4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03458
[Journal Article] Leibniz complexity of Nash functions on differentiations2019
- Author(s)
  Goo Ishikawa, Tatsuya Yamashita
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 印刷中
- NAID
  130007682982
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03615
[Journal Article] Leibniz complexity of Nash functions on differentiations2019
- Author(s)
  Goo Ishikawa, Tatsuya Yamashita
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 71-3
- NAID
  130007682982
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03458
[Journal Article] Singularities of tangent surfaces to directed curves2018
- Author(s)
  Ishikawa G.、Yamashita T.
- Journal Title
  
  Topology and its Applications
  
  Volume: 234 Pages: 198-208
- DOI
  10.1016/j.topol.2017.11.018
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-18K18714, KAKENHI-PROJECT-15H03615
[Journal Article] Leibniz complexity of Nash functions on differentiations2018
- Author(s)
  Goo Ishikawa, Tatsuya Yamashita
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 印刷中
- NAID
  130007682982
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13431
[Journal Article] Singularities of frontals2018
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 78
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03615
[Journal Article] Singularities of frontals2018
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13431
[Journal Article] Residual Algebraic Restrictions of Differential Forms2017
- Author(s)
  Goo Ishikawa, Stanislaw Janeczko
- Journal Title
  
  Methods and Applications of Analysis
  
  Volume: 24-1 Pages: 045-062
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13431
[Journal Article] Residual Algebraic Restrictions of Differential Forms2017
- Author(s)
  Goo Ishikawa, Stanislaw Janeczko
- Journal Title
  
  Methods and Applications of Analysis
  
  Volume: 24-1 Pages: 045-062
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Journal Article] Singularities of tangent surfaces to generic space curves2017
- Author(s)
  Goo Ishikawa, Tatsuya Yamashita
- Journal Title
  
  Journal of Geoemtry
  
  Volume: 108 Pages: 301-318
- DOI
  10.1007/s00022-016-0341-3
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15H03615, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-26287009
[Journal Article] D_n-geometry and singularities of tangent surfaces2016
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu,
  
  Volume: 未定
- NAID
  120006459747
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13431
[Journal Article] D_n-geometry and singularities of tangent surfaces2016
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 未定
- NAID
  120006459747
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03615
[Journal Article] Singularities of tangent surfaces in Cartan's split G_2-geometry2016
- Author(s)
  Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
- Journal Title
  
  Asian J. Math.
  
  Volume: 20 Pages: 353-382
- DOI
  10.4310/ajm.2016.v20.n2.a6
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615, KAKENHI-PROJECT-26287009
[Journal Article] Monge-Ampere systems with Lagrangian pairs2015
- Author(s)
  Goo Ishikawa and Yoshinori Machida
- Journal Title
  
  Symmetry Integrability Geom. Methods Appli.
  
  Volume: 11
- NAID
  120005672373
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26287009
[Journal Article] Classification problems on singularities of mappings and their applications2015
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Sugaku Exposition
  
  Volume: 28-2 Pages: 189-214
- NAID
  10030740955
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K13431
[Journal Article] Classification problems on singularities of mappings and their applications2015
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Sugaku Exposition
  
  Volume: 28-2 Pages: 189-214
- NAID
  10030740955
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03615
[Journal Article] Geometry of D_4 conformal triality and singularities of tangent surfaces2015
- Author(s)
  Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 12 Pages: 25-52
- DOI
  10.5427/jsing.2015.12c
- NAID
  120006459740
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615
[Journal Article] Monge-Ampere systems with Lagrangian pair2015
- Author(s)
  G. Ishikawa, Y. Machida
- Journal Title
  
  Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
  
  Volume: 11
- DOI
  10.3842/sigma.2015.081
- NAID
  120005672373
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615
[Journal Article] Geometry of D_4 conformal triality and sibgularities of tangent surfaces2014
- Author(s)
  待田芳徳、石川剛郎、高橋雅朋
- Journal Title
  
  Hokkaido Univ. EPrints Server
  
  Volume: 1051 Pages: 1-25
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Tangent varieties and openings of map-germs2013
- Author(s)
  Goo Ishikawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B38 Pages: 119-137
- NAID
  120006459706
- URL
  http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Tangent varieties and openings of map-germs2013
- Author(s)
  Goo Ishikawa (G. Ishikawa)
- Journal Title
  
  京都大学数理解析研究所講究録別冊
  
  Volume: B38 Pages: 119-137
- NAID
  120006459706
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] Tangent varieties and openings of map-germs2013
- Author(s)
  G. Ishikawa
- Journal Title
  
  数理解析研究所講究録別冊
  
  Volume: B38
- NAID
  120006459706
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Tangent varieties and openings of map-germs2013
- Author(s)
  Goo Ishikawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B38 Pages: 119-137
- NAID
  120006459706
- URL
  http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654058
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012
- Author(s)
  G. Ishikawa
- Journal Title
  
  Topology and its Applications
  
  Volume: 159
- DOI
  10.1016/j.topol.2011.09.024
- NAID
  120003898280
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654058
[Journal Article] Symplectic invariants of parametric singularities2012
- Author(s)
  Goo Ihiskawa (G. Ishikawa)
- Journal Title
  
  Advances in Geometric Analysis, Advanced Lectures in Mathematics Series
  
  Volume: 21 Pages: 259-280
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] Singularities of tangent varieties to curves and surfaces2012
- Author(s)
  Goo Ishikawa (G. Ishikawa)
- Journal Title
  
  Journal of Singularities
  
  Volume: 6 Pages: 54-83
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] Singularities of tangent surfaces in Caetan's split G_2-geometry2012
- Author(s)
  待田芳徳、石川剛郎、高橋雅朋
- Journal Title
  
  Hokkaido Univ. EPrints Server
  
  Volume: 1020 Pages: 1-26
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012
- Author(s)
  Goo Ishikawa (G. Ishikawa)
- Journal Title
  
  Topology and its Applications
  
  Volume: 159 Pages: 492-500
- NAID
  120003898280
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] 写像の特異性の分類問題とその応用2012
- Author(s)
  石川剛郎
- Journal Title
  
  数学
  
  Volume: 64-1 Pages: 75-96
- NAID
  10030740955
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Topology and its Applications
  
  Volume: vol.159 Pages: 492-500
- NAID
  120003898280
- URL
  http://www.sciencedirect.com/science/journal/01668641/159/2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012
- Author(s)
  G.Ishikawa
- Journal Title
  
  Topology and its Applications
  
  Volume: 159 Pages: 492-500
- NAID
  120003898280
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Classification problems on singularities of mappings and their applications2012
- Author(s)
  Goo Ishikawa (G. Ishikawa)
- Journal Title
  
  Sugaku
  
  Volume: 64 Pages: 75-96
- NAID
  10030740955
- Data Source
  KAKENHI-PROJECT-22244004
[Journal Article] Singularities of tangent varieties to curves and surfaces2012
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Journal of singularities
  
  Volume: 6 Pages: 54-83
- DOI
  10.5427/jsing.2012.6f
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-22340030, KAKENHI-PROJECT-23654058
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Topology and its Applications
  
  Volume: vol.159 Pages: 492-500
- NAID
  120003898280
- URL
  http://www.sciencedirect.com/science/journal/01668641/159/2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654058
[Journal Article] Classification problems on singularities of mappings and their applications2012
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Sugaku
  
  Volume: Volume64-1 Pages: 75-96
- NAID
  10030740955
- URL
  http://mathsoc.jp/publication/sugaku/
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Generic bifurcations of framed curves in aspace form and their envelopes2011
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Topology, its Applications
  
  Volume: (出版予定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654008
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2011
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Topology and its Applications
  
  Volume: (未定,To appear)
- NAID
  120003898280
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2011
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Topology and its Applications
  
  Volume: 出版予定
- NAID
  120003898280
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: vol.3 Pages: 126-143
- URL
  http://www.journalofsing.org/volume3/index.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendrenull duality2011
- Author(s)
  待田芳徳, 石川剛郎, 高橋雅朋
- Journal Title
  
  Journal of Singularities
  
  Volume: 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  待田芳徳、石川剛郎、高橋雅朋
- Journal Title
  
  J. Singularities
  
  Volume: 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2011
- Author(s)
  G.Ishikawa
- Journal Title
  
  Topology and its Applications 99(To appear)
- NAID
  120003898280
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G.Ishikawa, Y.Machida, M.Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 3 Pages: 126-143
- DOI
  10.5427/jsing.2011.3h
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654058, KAKENHI-PROJECT-23740041
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: vol.3 Pages: 126-143
- URL
  http://www.journalofsing.org/volume3/index.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23654058
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G.Ishikawa, Y.Machida, M.Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Differential Geometry and its Application (To appear)
- NAID
  120002208934
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Symplectic classification of parametric complex plane curves2010
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Annales Polonici Mathematici
  
  Volume: 99 Pages: 263-284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Symplectic classification of parametric complex curves2010
- Author(s)
  G.Ishikawa, S.Janeczko
- Journal Title
  
  Ann. Polon. Math.
  
  Volume: 99 Pages: 263-284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340012
[Journal Article] Symplectic classification of parametric complex plane curves2010
- Author(s)
  G.Ishikawa, S.Janeczko
- Journal Title
  
  Annales Polonici Mathematics (出版決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654008
[Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 28-3 Pages: 341-354
- NAID
  120002208934
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010
- Author(s)
  G.Ishikawa
- Journal Title
  
  Differential Geometry and its Application (出版決定済)
- NAID
  120002208934
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654008
[Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Differential Geometry, its Applications
  
  Volume: 28-3 Pages: 341-354
- NAID
  120002208934
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654008
[Journal Article] Symplectic classification of parametric complex plane curves2010
- Author(s)
  G.Ishikawa, S.Janeczko
- Journal Title
  
  Annales Polonici Mathematici
  
  Volume: 99-3 Pages: 263-284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 28 Pages: 341-354
- NAID
  120002208934
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Symplectic classification of parametric complex plane curves2010
- Author(s)
  G.Ishikawa, S.Janeczko
- Journal Title
  
  Annales Polonici Mathematici
  
  Volume: 99-3 Pages: 263-284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654008
[Journal Article] Symplectic classification of parametric complex plane curves2010
- Author(s)
  G.Ishikawa
- Journal Title
  
  Annales Polonici Mathematici 99-3
  
  Pages: 263-284
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Global Classification of Curves on the Symplectic Plane2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Contemporary Mathematics 459
  
  Pages: 51-72
- NAID
  120006459528
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340012
[Journal Article] Global classification of curves on the symplectic plane, Proceedings of the IX Workshop on Real and Complex Singularities2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Sao Carlos, 2006, Contemp.Math. 459, Amer. Math. Soc.
  
  Pages: 51-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  A. A. Davydov, G.Ishikawa, S. Izumiya and W.-Z. Sun
- Journal Title
  
  Japanese Journal of Mathematics 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340013
[Journal Article] Bifurcations in symplectic space2008
- Author(s)
  G.Ishikawa
- Journal Title
  
  Banach Center Publ. 82
  
  Pages: 111-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  A. A. Davydov, G. Ishikawa, S. Izumiya, W.-Z. Sun
- Journal Title
  
  Japanese Journal of Math. ematics vol.3-1
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  A. A. Davydov, G. Ishikawa, S. Izumiya, W. Z. Sun
- Journal Title
  
  Japanese Journal of Mathematics 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340012
[Journal Article] Genenc suigularifies of implicit systams of first order differenfial eguafions on the plane2008
- Author(s)
  AA, Davyopov, G, Ishikawa, S, Izumiya, W-Z, Sum
- Journal Title
  
  Japanese Jaurnal of Mathemaitic 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654006
[Journal Article] Bifurcations in symplectic space2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Banach Center Publ. 82
  
  Pages: 111-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Global classification of curves on the symplectic plane, Contem-porary Mathematics2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Amer. Math. Soc 459
  
  Pages: 51-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540082
[Journal Article] Global classification of clerves on the synylecfic Plalle2008
- Author(s)
  Goo ISHIKAWA
- Journal Title
  
  Contemporary Mathernatics 459
  
  Pages: 51-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654006
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Japanese J. Math. 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  G.Ishikawa
- Journal Title
  
  Japanese Journal of Mathematics 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Bifurcations in symplectic space2008
- Author(s)
  G. Ishikawa, S. Janeczko
- Journal Title
  
  Banach Center Publ vol. 82
  
  Pages: 111-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340013
[Journal Article] Biflurcafions in srmpkcticspace2008
- Author(s)
  G, Ishikawa、S、Janeczko
- Journal Title
  
  Banach center Publications 82
  
  Pages: 111-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654006
[Journal Article] Global classification of curves on the symplectic plane2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Proc. IX Workshop on Real and Complex Singularities (Sao Carlos, 2006) Contemporary Mathematics, AMS (to appear)
- NAID
  120006459528
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Global classification of curves on the symplectic plane2008
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Contemp. Math. 459
  
  Pages: 51-72
- NAID
  120006459528
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340002
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  A. A. Davydov, G.Ishikawa, S. Izumiya, W. -Z. Sun
- Journal Title
  
  Japanese Journal of Mathematics Vol. 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340013
[Journal Article] Global classification of curves on the symplectic plane2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Contemporary Mathematics, Amer. Math. Soc. (To appear)
- NAID
  120006459528
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Bifurcations in symplectic space2008
- Author(s)
  G. Ishikawa, and S. Janeczko
- Journal Title
  
  Banach Center Publ vol.82
  
  Pages: 111-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Generic singularities of implicit systems of first order differentialequations on the plane2008
- Author(s)
  A. A. Davydov, G. Ishikawa, S. Izumiya and W.-Z. Sun
- Journal Title
  
  Jpn. J. Math. 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340014
[Journal Article] Global classification ofcurves on the symplectic plane, Real andcomplex singularities2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Contemp. Math. 459
  
  Pages: 51-72
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340014
[Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008
- Author(s)
  A.A.Davydov, G. Ishikawa, S.Izumiya, W.Z. Sun
- Journal Title
  
  Japanese Journal of Mathematics 3
  
  Pages: 93-119
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340012
[Journal Article] Zariski's moduli problem for plane branches and the classification of Legendre curve singularities2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Proceedings of the Australian-Japanese Workshop(Univ. Sydney, Australia 5-8 Sep. 2005).World Scientific
  
  Pages: 56-84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Global classification of curves on the symplectic plane2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Proc. IX Workshop on Real and Complex Singuralities
  
  Pages: 51-72
- NAID
  120006459528
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Global classification of curves on the sympkctic plane2008
- Author(s)
  G. Ishikawa
- Journal Title
  
  Contemporary Mathematics (出版確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654006
[Journal Article] Janeczko, Bifurcations in symplectic spac2008
- Author(s)
  G. Ishikawa, S. Janeczk
- Journal Title
  
  Banach Center Publ. vol.82
  
  Pages: 111-124
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540082
[Journal Article] Classification of phase singularities for complex scalar waves and their bifurcations2007
- Author(s)
  G.Ishikawa
- Journal Title
  
  Nonlinearity 20
  
  Pages: 1907-1925
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Classification of phase singularities for complex scalar waves and their bifurcations2007
- Author(s)
  G. Ishikawa
- Journal Title
  
  Nonlinearity 20
  
  Pages: 1907-1925
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Classification of phase singularities for complex scalar waves and their bifurcations2007
- Author(s)
  G. Ishikawa, J. Adachi
- Journal Title
  
  Nonlinearity 20
  
  Pages: 1907-1925
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340013
[Journal Article] Calssification of phase smgulanties for conplex scalar waves and their bfuraitions2007
- Author(s)
  J. Adachi, G. Ishikawa
- Journal Title
  
  Nonlineanity 20
  
  Pages: 1907-1925
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654006
[Journal Article] Zariski's moduli problem for plane branches and the classification of Legendre curve singularities in Real and Complex Singularities2007
- Author(s)
  G. Ishikawa
- Journal Title
  
  Proceedings of the Australian-Japanese Workshop
  
  Pages: 56-84
- Data Source
  KAKENHI-PROJECT-19204006
[Journal Article] Zariski's moduli problem for plane branches and classification of Legeudro curve Smgularities2007
- Author(s)
  G. Ishikawa
- Journal Title
  
  Proceedings of Japan and Australia Rea land Complex Smgularities
  
  Pages: 56-84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19654006
[Journal Article] Extra singularities of geometric solutions to Monge-Ampere equations of three variables2006
- Author(s)
  石川剛郎
- Journal Title
  
  数理解析研究所講究録 1502
  
  Pages: 41-53
- Data Source
  KAKENHI-PROJECT-18540105
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  G.Ishikawa
- Journal Title
  
  Internat. Jour. Math. 17・3
  
  Pages: 269-293
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  待田芳徳、石川剛郎
- Journal Title
  
  International J. Math 17
  
  Pages: 269-293
- NAID
  120000959178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540105
[Journal Article] Singularities of improving affine spheres and surfaces of constant Gaussign curvature2006
- Author(s)
  G, Ishikawa
- Journal Title
  
  International Journal of Mathematics (印刷中)
  
  Pages: 2006-2006
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Singularities of improper offine spheres and surfaces of Constant Gaussian curvature2006
- Author(s)
  石川剛郎
- Journal Title
  
  International J. Math. 17・3
  
  Pages: 1-25
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540097
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  Go-o Ishikawa
- Journal Title
  
  International J.Math. 17-3
  
  Pages: 1-25
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540097
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  G. Ishikawa, Y. Machida
- Journal Title
  
  International Journal of Mathematics Vol. 17-3
  
  Pages: 269-293
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18340013
[Journal Article] Extra singularities of geometric solutions to Monge-Ampere equations2006
- Author(s)
  待田芳徳、石川剛郎
- Journal Title
  
  数理研講究録 1502
  
  Pages: 41-53
- Data Source
  KAKENHI-PROJECT-18540105
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  待田芳徳、石川剛郎
- Journal Title
  
  International J. Math. 17
  
  Pages: 269-293
- NAID
  120000959178
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540105
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  G.Ishikawa
- Journal Title
  
  International Journal of Mathematics (To appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  G.Ishikawa
- Journal Title
  
  International Journal of Mathematics (印刷中)
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  石川剛郎
- Journal Title
  
  International J.Math. 17・3
  
  Pages: 1-25
- Data Source
  KAKENHI-PROJECT-14540097
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  Go-O Ishikawa, et al.
- Journal Title
  
  International Journal of Mathematics 17
  
  Pages: 269-293
- Data Source
  KAKENHI-PROJECT-18340014
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006
- Author(s)
  Ishikawa, Goo
- Journal Title
  
  International J. of Math. 17
  
  Pages: 269-293
- Data Source
  KAKENHI-PROJECT-18340013
[Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005
- Author(s)
  Go-o Ishikawa
- Journal Title
  
  Asian Journal of Mathematics 9
  
  Pages: 133-166
- Data Source
  KAKENHI-PROJECT-14340019
[Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005
- Author(s)
  G.Ishikawa
- Journal Title
  
  Asian Journal of Mathematics 9・1
  
  Pages: 133-166
- Data Source
  KAKENHI-PROJECT-17340013
[Journal Article] Infinitestimal deformations and stability of singular Legendian submanifolds2005
- Author(s)
  Goo Ishikawa
- Journal Title
  
  Asian Journal of Mathematics 9・1
  
  Pages: 133-166
- Data Source
  KAKENHI-PROJECT-15204002
[Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005
- Author(s)
  G.Ishikawa
- Journal Title
  
  Asian Journal of Mathematics 9-1
  
  Pages: 133-166
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540065
[Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005
- Author(s)
  G.Ishikawa
- Journal Title
  
  Asian Journal of Mathematics 9-1
  
  Pages: 113-166
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005
- Author(s)
  G.Ishikawa
- Journal Title
  
  Asian Journal of Mathematics Vol.9
  
  Pages: 133-166
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Infinitesimal determinants-and stability of singular Legendre submanifolds2005
- Author(s)
  G, Ishikawa
- Journal Title
  
  Asian Journal of Mathematics 9
  
  Pages: 133-166
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Classifying singular Legendre curves by contactomorphisms2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  J.Geom.Phys. 52
  
  Pages: 113-126
- Data Source
  KAKENHI-PROJECT-15340016
[Journal Article] Classifying singular Legendre curves by contactomorphisms2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Journal of Geometry and Physics Vol.52--2
  
  Pages: 113-126
- Data Source
  KAKENHI-PROJECT-16540065
[Journal Article] Classifying singular Legendre curves by contactomorphisms2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  J.Geom.Phys. 52
  
  Pages: 113-126
- Data Source
  KAKENHI-PROJECT-14654010
[Journal Article] Symplectic singularities of isofropic mappings2004
- Author(s)
  G, Ishikawa
- Journal Title
  
  Banach Center Publications 65
  
  Pages: 85-106
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Perturbations of caustics and fronts2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Barach Center Publ. 62
  
  Pages: 101-116
- Data Source
  KAKENHI-PROJECT-15340016
[Journal Article] Classifying singular Legendre canes by contact wire phisms2004
- Author(s)
  G, Ishikawa
- Journal Title
  
  Journal of Geometry and Physics 52
  
  Pages: 113-126
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Classifying singular Legendre curves by contactomorphisms.2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Journal of Geometry and Physics. Vol.52
  
  Pages: 113-126
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Classifying singular Legendre curves by contactmorphisms2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Journal of Geometry and Physics 52・2
  
  Pages: 113-126
- Data Source
  KAKENHI-PROJECT-15204002
[Journal Article] Symplectic singularities of isotropic mappings2004
- Author(s)
  G.Ishikawa, S.Janeczko
- Journal Title
  
  Banach Center Publications 65
  
  Pages: 85-106
- Data Source
  KAKENHI-PROJECT-14340019
[Journal Article] Perturbations of Caustics and Front2004
- Author(s)
  G, Ishikawa
- Journal Title
  
  Banach Center Publications 62
  
  Pages: 101-116
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Classifying singular Legendrian curves by contactmorphisms2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  J.of Geometry and Physics 52
  
  Pages: 113-126
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15204002
[Journal Article] Symplectic singularities of isotropic mappings2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Banach Center Publication 65
  
  Pages: 85-106
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Classifying singular Legendre curves by contactomorphisms2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Journal of Geometry and Physics 52
  
  Pages: 113-126
- Data Source
  KAKENHI-PROJECT-14340019
[Journal Article] Classifying singular Legendre curves by contactmorphism2004
- Author(s)
  G.Ishikawa
- Journal Title
  
  Journal of Geometry and Physics 52
  
  Pages: 113-126
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15204002
[Journal Article] Symplectic bifurcations of plane curves and isotropic liftings2003
- Author(s)
  G.Ishikawa
- Journal Title
  
  Quarterly Journal of Mathematics Vol.54
  
  Pages: 73-102
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Symplectic bifurcations of plane curves and isofropic liftings2003
- Author(s)
  G, Ishikawa
- Journal Title
  
  Quarterly Journal of Mathematics 54
  
  Pages: 73-102
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Infinitesmal deformations and stability of singular Legendre Submanifolds
- Author(s)
  G.Ishikawa
- Journal Title
  
  Asian Journal of Mathematics (発表予定)
- Data Source
  KAKENHI-PROJECT-14340020
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature
- Author(s)
  G.Ishikawa, Y.Machida
- Journal Title
  
  International Journal of Mathematics (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540065
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature
- Author(s)
  G.Ishikawa, Y.Machida
- Journal Title
  
  International Journal of Mathematics (to appear)
- Data Source
  KAKENHI-PROJECT-16540065
[Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature
- Author(s)
  G.Ishikawa, y.Machida
- Journal Title
  
  International Journal of Mathematics (to appear)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540065
[Journal Article] Duality of singular paths for (2, 3, 5)-distributions
- Author(s)
  G. Ishikawa, Y. Kitagawa, W. Yukuno
- Journal Title
  
  Journal of Dynamical and Control Systems
  
  Volume: (掲載確定)
- DOI
  10.1007/s10883-014-9216-9
- NAID
  120005732977
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030, KAKENHI-PROJECT-23654058
[Journal Article] Singularities of flat exten sions from generic surfaces with boun-daries
- Author(s)
  G. Ishikawa
- Journal Title
  
  Differential Geometry and its Application (to appear)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540082
[Presentation] Topology of complements to real affine space line arrangements.2019
- Author(s)
  Goo Ishikawa, Motoki Oyama
- Organizer
  Spring Central and Western Joint Sectional Meeting, American Mathematical Society.
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Several problems on singularities of implicit differential equations and related topics2019
- Author(s)
  Goo Ishikawa
- Organizer
  Singularity Theory and its Applications in Differential Equations and Differential Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03458
[Presentation] A remark on the geometric theory of third order ordinary differential equations2019
- Author(s)
  Goo Ishikawa
- Organizer
  Muroran Workshop 20
- Invited
- Data Source
  KAKENHI-PROJECT-19K03458
[Presentation] On Normal and Tangential Maps to Frontals2019
- Author(s)
  Goo Ishikawa
- Organizer
  6th International Workshop on Singularities in Generic Geometry and its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03458
[Presentation] Topics on frontal singularities2018
- Author(s)
  Goo Ishikawa
- Organizer
  15th International Workshop on Real and Complex Singularities, Sao Carlos, Brazil, 22 - 28 July 2018.
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Cofrontals2018
- Author(s)
  Goo Ishikawa
- Organizer
  Research on topology and differential geometry using singularity theory of differentiable maps
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Leibniz complexity of Nash functions on differentiations2018
- Author(s)
  Goo Ishikawa
- Organizer
  Real Algebraic Geometry and Singularity Theory Symposium
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Duality of (2,3,5)-distributions and Lagrangian cone structures2018
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities, Differential equations and Related Area
- Invited
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] Duality of (2,3,5)-distributions and Lagrangian cone structures2018
- Author(s)
  Goo Ishikawa
- Organizer
  Contact structure, Singularities, Differential equations and related area
- Invited
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Duality-singularity of indefinite metrics and contact structures2017
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities in Generic Geometry and its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Stability of parametric Lagrangian and Legendrian varieties,2017
- Author(s)
  Goo Ishikawa
- Organizer
  International Conference on Singularity Theory and Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] Duality-singularity of indefinite metrics and contact structures2017
- Author(s)
  Goo Ishikawa
- Organizer
  24th Numazu conference,
- Place of Presentation
  沼津高専（静岡県・沼津市）
- Invited
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] Duality-singularity of indefinite metrics and contact structures2017
- Author(s)
  Goo Ishikawa
- Organizer
  24th Numazu conference
- Place of Presentation
  沼津高専（静岡県・沼津市）
- Invited
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Stability of parametric Lagrangian and Legendrian varieties2017
- Author(s)
  Goo Ishikawa
- Organizer
  International Conference on Singularity Theory and Dynamical Systems
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Duality-singularity of indefinite metrics and contact structures2017
- Author(s)
  Goo Ishikawa
- Organizer
  Contact structure, Singularities, Differential equations and related area
- Place of Presentation
  金沢大学サテライト（石川県・金沢市）
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] Duality-singularity of indefinite metrics and contact structures2017
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities in Generic Geometry and its Applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] Duality-singularity of indefinite metrics and contact structures2017
- Author(s)
  Goo Ishikawa
- Organizer
  Contact structure, Singularities, Differential equations and related area
- Place of Presentation
  金沢大学サテライト（石川県・金沢市）
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] 特異点論の地図2016
- Author(s)
  石川剛郎
- Organizer
  Encounter with Mathematics
- Place of Presentation
  中央大学理工学部（東京都・文京区）
- Year and Date
  2016-03-12
- Invited
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Nash 関数の微分に関する Leibniz 複雑性2016
- Author(s)
  石川剛郎，山下達也
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] 特異点論の地図2016
- Author(s)
  石川剛郎
- Organizer
  Encounter with Mathmatics
- Place of Presentation
  中央大学理工学部（東京都・文京区）
- Year and Date
  2016-03-12
- Invited
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] アフィン接続と空間曲線の接線曲面の特異点2016
- Author(s)
  石川剛郎，山下達也
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] ニュートラル計量，ローリング・ボディ，そしてケプラー問題2016
- Author(s)
  石川剛郎
- Organizer
  第２３回沼津研究会
- Place of Presentation
  沼津工業高等専門学校（静岡県・沼津市）
- Year and Date
  2016-03-08
- Invited
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Null frontal singular surfaces in Lorentzian 3-spaces2016
- Author(s)
  Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
- Organizer
  VIII International Meeting on Lorentzian Geometry
- Place of Presentation
  マラガ（スペイン）
- Year and Date
  2016-09-20
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] ニュートラル計量，ローリング・ボディ，そしてケプラー問題2016
- Author(s)
  石川剛郎
- Organizer
  第２３回沼津研究会
- Place of Presentation
  沼津工業高等専門学校（静岡県・沼津市）
- Year and Date
  2016-03-08
- Invited
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] アフィン接続と空間曲線の接線曲面の特異点2016
- Author(s)
  石川剛郎，山下達也
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2016-03-18
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Nash 関数の微分に関する Leibniz 複雑性2016
- Author(s)
  石川剛郎，山下達也
- Organizer
  日本数学会2016年度年会
- Place of Presentation
  筑波大学（茨城県・つくば市）
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Null frontal singular surfaces in Lorentzian 3-spaces2016
- Author(s)
  Goo Ishikawa
- Organizer
  VIII International Meeting on Lorentzian Geometry
- Place of Presentation
  マラガ（スペイン）
- Year and Date
  2016-09-20
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Leibniz complexity of Nash functions on differentiations2015
- Author(s)
  Goo Ishikawa
- Organizer
  Geometric Singularity Theory, Polish-Japanese Singularity Theory Working days
- Place of Presentation
  Warsaw (Poland)
- Year and Date
  2015-09-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26287009
[Presentation] Leibniz complexity of Nash functions on differentiations2015
- Author(s)
  Goo Ishikawa
- Organizer
  Geometric Singularity Theory, Polish-Japanese Singularity Theory Working Days
- Place of Presentation
  Warsaw (Poland)
- Year and Date
  2015-09-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15H03615
[Presentation] Leibniz complexity of Nash functions on differentiations2015
- Author(s)
  Goo Ishikawa
- Organizer
  Geometric Singularity Theory, Polish-Japanese Singularity Theory Working Days
- Place of Presentation
  Warsaw (Poland)
- Year and Date
  2015-09-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K13431
[Presentation] Affine connections and singularities of tangent surfaces to space curves2014
- Author(s)
  Goo Ishikawa
- Organizer
  Singularity theory of differential maps and its applications
- Place of Presentation
  京都大学数理解析研究所（京都市）
- Year and Date
  2014-12-05
- Invited
- Data Source
  KAKENHI-PROJECT-26287009
[Presentation] The D4-triality and singularities of tangent surfaces2013
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities in geometry and applications III
- Place of Presentation
  The International Centre for Mathematical Sciences (ICMS), Edinburgh, Scotland, UK.
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] 幾何学的制御理論から観たCartan 分布の特異パス双対性2013
- Author(s)
  石川剛郎
- Organizer
  日本数学会
- Place of Presentation
  愛媛大学（松山市）
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] The D4-triality and singularities of tangent surfaces2013
- Author(s)
  G. Ishikawa
- Organizer
  Singularities in geometry and applications III
- Place of Presentation
  ICMS, Edinburgh, Scotland, UK.
- Invited
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singular path duality for Cartan distributions from geometric control theory2013
- Author(s)
  Goo Ishikawa
- Organizer
  Geometric Singularity Theory, 8th Polish-Japanese Singularity Theory Working Days
- Place of Presentation
  The Banach Center, IMPAN, Warsaw, Poland
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singular path duality for Cartan distributions from geometric control theory (in Japanese)2013
- Author(s)
  Goo Ishikawa, Yumiko Kitagawa, Wataru Yukuno
- Organizer
  Autumn Meeting 2013 of Mathematical Society of Japan
- Place of Presentation
  Ehime University, Ehime Japan
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] 幾何学的制御理論から観たCartan 分布の特異パス双対性2013
- Author(s)
  石川剛郎
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  愛媛大学(松山市), 日本
- Year and Date
  2013-09-24
- Data Source
  KAKENHI-PROJECT-23654058
[Presentation] 幾何学的制御理論から観たCartan 分布の特異パス双対性2013
- Author(s)
  石川剛郎
- Organizer
  日本数学会
- Place of Presentation
  愛媛大学（松山市）
- Data Source
  KAKENHI-PROJECT-23654058
[Presentation] Singularities of Tangent Surfaces in Cartan’s Split G2-geometry2012
- Author(s)
  Goo Ishikawa
- Organizer
  The V-th International Conference of Differential Geometry and Dynamical Systems
- Place of Presentation
  Callatis High-School, Mangalia (Romania)
- Invited
- Data Source
  KAKENHI-PROJECT-23654058
[Presentation] Singularities of Tangent Surfaces in Cartan's Split G2-geometry2012
- Author(s)
  Goo Ishikawa
- Organizer
  The V-th International Conference of Differential Geometry and Dynamical Systems
- Place of Presentation
  Callatis High-School, Mangalia (Romania)
- Year and Date
  2012-08-30
- Invited
- Data Source
  KAKENHI-PROJECT-23654058
[Presentation] Openings of stable unfoldings2012
- Author(s)
  Goo Ishikawa
- Organizer
  AMS Sectional Meeting, Special Session on Singularities, Stratifications and Their Applications
- Place of Presentation
  University of Hawaii at Manoa, Honolulu, HI, USA.
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Shyuichi Izumiya’s mathematical works2012
- Author(s)
  Goo Ishikawa
- Organizer
  The 12th International Workshop on Real and Complex Singularities
- Place of Presentation
  Sao Carlos, Brazil
- Invited
- Data Source
  KAKENHI-PROJECT-22244004
[Presentation] Tangent varieties and openings of map-germs2012
- Author(s)
  Goo Ishikawa
- Organizer
  An international workshop in Singularity Theory, its Applications and Future Prospects celebrating jubilees of Bill Bruce and Terry Wall
- Place of Presentation
  The University of Liverpool, UK
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of Tangent Surfaces in Cartan's Split G2-geometry2012
- Author(s)
  Goo Ishikawa
- Organizer
  The V-th International Conference of Differential Geometry and Dynamical Systems (DGDS-2012)
- Place of Presentation
  Mangalia, Romania
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Tangent varieties and openings of map-germs2012
- Author(s)
  Goo Ishikawa
- Organizer
  An international workshop in Singularity Theory, its Applications and Future Prospects
- Place of Presentation
  Liverpool, UK
- Invited
- Data Source
  KAKENHI-PROJECT-22244004
[Presentation] Singularities of Tangent Surfaces in Cartan’s Split G2-geometry2012
- Author(s)
  Goo Ishikawa
- Organizer
  The V-th International Conference of Differential Geometry and Dynamical Systems
- Place of Presentation
  Mangalia, Romania
- Invited
- Data Source
  KAKENHI-PROJECT-22244004
[Presentation] Tangent varieties and openings of map-germs2012
- Author(s)
  Goo Ishikawa
- Organizer
  An international workshop in Singularity Theory, its Applications and Future Prospects celebrating jubilees of Bill Bruce and Terry Wall
- Place of Presentation
  Liverpool, UK
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Openings of stable unfoldings2012
- Author(s)
  G.Ishikawa
- Organizer
  AMS Sectional Meeting, Special Session on Singularities, Stratifications and Their Applications
- Place of Presentation
  ハワイ大学マノア校(アメリカ)
- Year and Date
  2012-03-03
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of tangent surfaces in G2-geometric structures2012
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities and Geometric Structures
- Place of Presentation
  Lifelong Learning Center of Nagano City, Nagano, Japan
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of tangent surfaces in G2-geometric structures2012
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities and Geometric Structures
- Place of Presentation
  Lifelong Learning Center of Nagano City, Nagano, Japan.
- Invited
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of tangent surfaces in G2-geometric structures2012
- Author(s)
  Goo Ishikawa
- Organizer
  Singularities and Geometric Structures
- Place of Presentation
  長野市生涯学習センター（長野県）
- Invited
- Data Source
  KAKENHI-PROJECT-22244004
[Presentation] Openings of stable unfoldings2011
- Author(s)
  Goo Ishikawa
- Organizer
  The 4th Japanese-Australian Workshop on Real and Complex Singularities
- Place of Presentation
  Kobe Satellite of Hyogo University of Teacher Education, Kobe, Japan.
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Openings of stable unfoldings2011
- Author(s)
  Goo Ishikawa
- Organizer
  RIMS workshop, Singularity theory, geometry and topology
- Place of Presentation
  Kyoto, Japan
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of Tangent Varieties and Differential Systems2011
- Author(s)
  Goo Ishikawa
- Organizer
  Singularity Theory and its Applications
- Place of Presentation
  Academic Hall, Oita National College of Technology, Oita, Japan.
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of Tangent Varieties to Curves and Surfaces2011
- Author(s)
  Goo Ishikawa
- Organizer
  Workshop on Singularities in Geometry and Applications
- Place of Presentation
  Stefan Banach International Mathematical Center, Bedlewo, Poland
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Singularities of Framed Curves, Differential Systems, Projective Duality.2010
- Author(s)
  Goo Ishikawa
- Organizer
  11th International Workshop on Real, Complex Singularities
- Place of Presentation
  サンパウロ大学サンカルロス校(ブラジル、サンカルロス) 招待講演
- Year and Date
  2010-07-28
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Basic topics on tropical geometry and singularities.2010
- Author(s)
  Goo Ishikawa
- Organizer
  Geometry on Real Closed Field and its Application to Singularity Theory
- Place of Presentation
  京都大学数理解析研究所招待講演
- Year and Date
  2010-11-30
- Data Source
  KAKENHI-PROJECT-22340030
[Presentation] Generic bifurcations of framed curves in a space form and their envelopes2010
- Author(s)
  G.Ishikawa
- Organizer
  Conatact structures, singularities, differential equations
- Place of Presentation
  洞爺湖文化センター,洞爺湖町,北海道
- Year and Date
  2010-01-27
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Introduction to Tropical Geometry2010
- Author(s)
  G.Ishikawa
- Organizer
  Kobe Workshop on Singularities
- Place of Presentation
  神戸サテライト,兵庫教育大学,兵庫
- Year and Date
  2010-01-20
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Symplectic Invariants of Parametric Singularities2009
- Author(s)
  G.Ishikawa
- Organizer
  Real and Complex Singularities
- Place of Presentation
  シドニー大学、オーストラリア
- Year and Date
  2009-09-16
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Geometry of surfaces with boundaries from singularity viewpoint2009
- Author(s)
  G.Ishikawa
- Organizer
  School on Generic Singularities in Geometry
- Place of Presentation
  バナッハセンター,ワルシャワ,ポーランド
- Year and Date
  2009-07-10
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Singularity problems in sub-Riemannian and sub-Finsler2009
- Author(s)
  G.Ishikawa
- Organizer
  The 44-th Symposium on Finsler Geometry
- Place of Presentation
  東海大学札幌キャンパス,札幌,北海道
- Year and Date
  2009-09-09
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Symplectic Invariants of Parametric Singularities Geometric Singularity Theory2009
- Author(s)
  G.Ishikawa
- Organizer
  7th Polish-Japanese Singularity Theory Working Days
- Place of Presentation
  カジミエッシュ・ドルニ,ポーランド
- Year and Date
  2009-07-14
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Generic geometry and singularities of curves on surfaces2009
- Author(s)
  G.Ishikawa
- Organizer
  Durham Geometric Seminar
- Place of Presentation
  ダーラム大学,ダーラム,イギリス
- Year and Date
  2009-10-22
- Data Source
  KAKENHI-PROJECT-21654008
[Presentation] Classification of parametric varieties in the symplectic space:Motivations, Examples and Problems2008
- Author(s)
  G. Ishikawa
- Organizer
  10th International Workshop on Real and Compex Singularities
- Place of Presentation
  Sao Carlos, Brazil
- Year and Date
  2008-07-31
- Data Source
  KAKENHI-PROJECT-17340013
[Presentation] Local symplectic invariants of parametric Lagrangian varieties2008
- Author(s)
  G. Ishikawa
- Organizer
  Frobenius structures and singularity theory
- Place of Presentation
  Bedlewo, Poland
- Year and Date
  2008-08-26
- Data Source
  KAKENHI-PROJECT-17340013
[Presentation] focalsymplecfic mvariants of parametric Lagrangian narieties2008
- Author(s)
  Goo ISHIKAWA
- Organizer
  Frobenius struefures and saigalanty thery
- Place of Presentation
  ポランド・ベドレボ
- Year and Date
  2008-08-26
- Data Source
  KAKENHI-PROJECT-19654006
[Presentation] Calssification problem in symplectic singularity theory2007
- Author(s)
  G. Ishikawa
- Organizer
  Banach Center Symposium "Geometric SingularityTheory" Polish-Japanese Working Days
- Place of Presentation
  Sopot, Poland
- Year and Date
  2007-07-09
- Data Source
  KAKENHI-PROJECT-17340013
[Presentation] Calssification problem in symplectic singularity theory2007
- Author(s)
  G. Ishikawa
- Organizer
  Banach Center Symposium "Geometric Singularity Theory" Polish-Japanese Working Days,
- Place of Presentation
  Sopot, Poland.
- Year and Date
  2007-07-09
- Data Source
  KAKENHI-PROJECT-17340013
[Presentation] Local classification of varieties in the symplectic space2007
- Author(s)
  G. Ishikawa
- Organizer
  The second Japanese-Australian Workshop on Real and Complex Smgularities
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-11-26
- Data Source
  KAKENHI-PROJECT-19654006
[Presentation] Local classification of parametric Lagrangian varieties2007
- Author(s)
  G. Ishikawa
- Organizer
  Internation Conference "Symplectic Geometry"
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2007-07-27
- Data Source
  KAKENHI-PROJECT-17340013

1. IZUMIYA Shyuichi (80127422)

# of Collaborated Projects: 37 results

# of Collaborated Products: 7 results
2. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 23 results

# of Collaborated Products: 0 results
3. ONO Kaoru (20204232)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
4. TATSUO Suwa (40109418)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
5. NAKAI Isao (90207704)

# of Collaborated Projects: 15 results

# of Collaborated Products: 0 results
6. KIYOHARA Kazuyoshi (80153245)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
7. SHIMADA Ichiro (10235616)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
8. OHMOTO Toru (20264400)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
9. OKA Mutsuo (40011697)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
10. MORIMOTO Tohru (80025460)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
11. UMEHARA Masaaki (90193945)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
12. MACHIDA Yoshinori (90141895)

# of Collaborated Projects: 8 results

# of Collaborated Products: 13 results
13. SATO Hajime (30011612)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
14. SHOJI Yokura (60182680)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
15. NAKAMURA Iku (50022687)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
16. KAWASUMI Nariya (30214646)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
17. TAKAHASHI Masatomo (80431302)

# of Collaborated Projects: 5 results

# of Collaborated Products: 10 results
18. MIYAOKA Reiko (70108182)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
19. YAMADA Kotaro (10221657)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
20. AGAOKA Yoshio (50192894)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
21. MUTSUMI Saito (70215565)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
22. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
23. MASAO Jinzenji (20322795)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
24. KENJI Fukaya (30165261)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
25. HIROSHI Ohta (50223839)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
26. TERAO Hiroaki (90119058)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
27. DAISUKE Matsushita (90333591)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
28. FUJII Kazuyuki (00128084)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
29. SASAKI Takeshi (00022682)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
30. NAGATOMO Yasuyuki (10266075)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
31. 枡田幹也 (00143371)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
32. WAYNE Rossman (50284485)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
33. TOSHIYUKI Akita (30279252)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
34. GIGA Yosikazu (70144110)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
36. TONEGAWA Yoshihiro (80296748)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
37. OHNITA Yoshihiro (90183764)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
38. IWASAKI Katsunori (00176538)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
39. KAJIWARA Kenji (40268115)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
40. TAMARU Hiroshi (50306982)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
41. FURUTANI Kenro (70112901)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
42. SAJI Kentaro (70451432)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
43. MINAKAWA Hiroyuki (30241300)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
44. IGARASHI Masayuki (60256675)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
45. KANDA Yutaka (30280861)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
47. MARTIN Guest (10295470)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
48. MOTOKO Kotani (50230024)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
49. OYSU Yukio (80233170)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
50. HURUHATA Hitoshi (80282036)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
51. TOSE Nobuyuki (00183492)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
52. NAKAYAAHIKI Atsushi (10237456)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
53. FUTAKI Akito (90143247)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
54. SHODA Toshihiro (10432957)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
55. IRITANI Hiroshi (20448400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
56. FUJIOKA Atsushi (30293335)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
57. MATSUURA Nozomu (00389339)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
58. NISHINOU Takeo (50420394)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
59. MATSUMOTO Keiji (30229546)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
60. KISO Kazuhiro (60116928)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
61. MATSUMOTO Makoto (70231602)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
62. ITO Hiroyuki (60232469)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
63. KOJIMA Sadayoshi (90117705)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
64. MABUCHI Toshiki (80116102)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
65. SAITO Sachiko (40260400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
66. KITAGAWA Yumiko (40403323)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
67. TSUKAMOTO Chiaki (80155340)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
68. TOKUNAGA Hiroo (30211395)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
69. 田中昇 (80025296)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
70. 森吉仁志 (00239708)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
71. KAWAKUBO Satoshi (80360303)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
72. YATSUI Tomoaki (00261371)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
73. OZAWA Tetasuya (20169288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
74. KOISO Miyuki (10178189)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
75. ARAKAWA Tomoyuki (40377974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
76. NAKANISHI Nobutada (50124053)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
77. KATAGIRI Minyo (60263422)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
78. KIMURA Shun-ichi (10284150)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
79. ISHII Akira (10252420)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
80. TAKAHASHI Nobuyoshi (60301298)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
81. TAKAHASHI Hiroki (90291476)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
82. SUMIHIRO Hideyasu (60068129)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
83. HIRANOUCHI Toshiro (30532551)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
84. KONDO Shigeyuki (50186847)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
85. TAKAKURA Tatsuru (30268974)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
86. YOSHIDA Tomoyoshi (60055324)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
87. KIN Eiko (80378554)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
88. TAKASAWA Mitsuhiko (80323822)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
89. SAKASAI Takuya (60451902)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
90. FUJIWARA Koji (60229078)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
91. UE Masaaki (80134443)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
92. MASHIMO Katsuya (50157187)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
93. HASHIMOTO Hideya (60218419)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
94. KOISO Norihito (70116028)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
95. GOTO Ryushi (30252571)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
96. KOKUBU Masatoshi (50287439)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
97. FUJIMORI Syoichi (00452706)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
98. KAWAKAMI Yu (60532356)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
99. KITAGAWA Yoshihisa (20144917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
100. TANABE Susumu (90432997)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
101. SUZUKI Haruo (80000735)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
102. HONDA Naofumi (00238817)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
103. KATSURA Toshiyuki (40108444)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
104. EGUCHI Tohru (20151970)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
105. OZAWA Toru (70204196)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
106. JIMBO Shuichi (80201565)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
107. OMORI Hideki (20087018)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
108. KANEYUKI Soji (40022553)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
109. KURANO Kazuhiko (90205188)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
110. SUGAHARA Kunio (20093255)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
111. NISHIMORI toshiyuki (50004487)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
112. MORIYAMA Youichi (80210201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
113. TERASOMA Tomodide (50192654)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
114. KANENOBU Taizou (00152819)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
115. MATSUMOTO Shigenori (80060143)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
116. ITO Toshikazu (60110178)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
117. TAJIMA Shinichi (70155076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
118. KONNO Kazuhiro (10186869)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
119. SAEKI OSAMU (30201510)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
120. IWASE Norio (60213287)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
122. SAKUMA Kazuhiro (80270362)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
124. YAMAMOTO Minoru (40435475)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
125. TAKASE Masamichi (30447718)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
128. KOBAYASHI Mahito (10261645)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
129. YAMAMOTO Takahiro (60435972)

# of Collaborated Projects: 1 results

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

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
131. TAKATA Toshie (40253398)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
132. UEHARA Taketo (40613261)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
133. NOMURA Takaaki (30135511)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
134. 泉脩蔵 (80025410)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
135. 佐野貴志 (60326543)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
136. 日比孝之 (80181113)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
137. 筱田健一 (20053712)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
138. 吉田知行 (30002265)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
139. 石田正典 (30124548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
140. 藤木明 (80027383)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
141. 山下博 (30192793)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
142. 太田啓史 (31400070)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
143. 木村真琴 (30186332)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
144. 横山和夫 (10053711)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
145. 石田政司 (50349023)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
146. 加藤昌英 (90062679)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
147. 坪井俊 (40114566)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
148. 河野俊丈 (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
149. 加藤久男 (70152733)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
150. 澁谷一博 (00569832)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
151. 赤穂まなぶ (30332935)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
152. 入江慶 (90645467)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
153. 石川卓 (70845742)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
154. Ogawa Noboru

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
155. 鈴木徳行

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
156. 西弘嗣

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
157. 長谷川四郎

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
158. 大串健一

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
159. 入野智久

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
160. 原田尚美

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
161. 内田昌男

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
162. 江森良太郎

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
163. 菅沼香織

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
164. 佐藤瑛子

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
165. Janeczko Stanislaw

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

Ishikawa Goo 石川 剛郎

GO-O Ishikawa 石川 剛郎

Research Projects

Research Products

Co-Researchers

Studies on Floer theory and symplectic, contact structuresOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Developments and Applications of Geometric Singularity TheoryPrincipal InvestigatorOngoing

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Application of sub-Riemannian geometry to vision modelPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Developments and applications of geometric singularity theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The construction of infinite dimensional singularity theory of completely non-integrable systems and its applications to the singular motion-planning problemPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Ishikawa Goo 石川剛郎

GO-O Ishikawa 石川剛郎