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Ishikawa Goo  石川 剛郎

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GO-O Ishikawa  石川 剛郎

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Researcher Number 50176161
Other IDs
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Affiliation (Current) 2025: 北海道大学, 理学研究院, 名誉教授
Affiliation (based on the past Project Information) *help 2022 – 2024: 北海道大学, 理学研究院, 名誉教授
2016 – 2021: 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 … More
2014: 北海道大学, 大学院理学研究科, 教授
2013: 北海道大学, 大学院・理学研究院, 教授
2013: 北海道大学, 理学研究科, 教授
2011: 北海道大学, 大学院・理学研究科, 教授
2007 – 2011: Hokkaido University, Fac. of.Sci, Professor
2009: 北海道大学, 大学院・理学研究科, 教授
2009: 北海道大学, 理学研究科, 教授
2006 – 2007: 北海道大学, 理学研究科, 教授
2006: 北海道大学, 大学院理学研究院, 教授
2004 – 2005: Hokkaido Univ., Grad.School of Sci., Prof., 大学院・理学研究科, 教授
2003: Hokkaido Univ., graduate sch.of Sci., Asso.Prof., 理学研究科, 助教授
1995 – 2003: 北海道大学, 大学院・理学研究科, 助教授
2001: 北海道大学, 理学研究科, 助教授
1998 – 1999: 北海道大学, 理学研究科, 助教授
1998: 北海道大学, 大学院理学研究科, 助教授
1995: Hokkaido University, Graduate School of Sciences, Associate Professor, 大学院理学研究科, 助教授
1994: 広島大学, 理学部, 助教授
1990 – 1994: 北海道大学, 理学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Geometry / Geometry / Basic Section 11020:Geometry-related / Global analysis / Global analysis
Except Principal Investigator
Geometry / Geometry / Algebra / Algebra / 代数学・幾何学 / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords
Principal Investigator
接触構造 / ルジャンドル特異点 / 幾何学的制御理論 / フロンタル / Monge-Ampere equation / ラグランジュ特異点 / 接触幾何 / 微分式系 / シンプレクティック構造 / 特異曲線 … More / 双対性 / 特異点の認識問題 / コフロンタル / ラグランジュ錐構造 / (2,3,5)分布 / グルサ系 / グルサ分布 / モンジュ・アンペール方程式 / 制御系 / 特異ルジャンドル多様体 / 非ホロノーム横断性定理 / ルジャンドル多様体 / 可展面 / サブリーマン幾何 / 射影幾何 / 可展開面 / 特異点論 / 幾何学化 / 幾何ロバスト性 / ラグランジュ多様体 / Singular curve / Parametric singularities / Normal mapping / Tangentially parallel / Normally parallel / Zero-form / Tangent mapping / Parallel frontals / abnormal geodesics / singular surface / normally flat / Parallel / Tangent map / Frontal / parallel / frontal jet / double number / C3 distribution / singular curve / frontal / 接分布 / 単純リー環 / 特異制御 / 幾何学的解 / ニュートラル計量 / 拘束ハミルトン系 / 幾何構造 / ジェネリック幾何 / 特異点の実形 / 錐構造 / 写像の特異点 / フロンタル安定性 / G2接触構造 / 分岐加群 / 開化 / 特異点のロバスト性 / 特異点の安定性 / 接線曲面 / G_2接触構造 / G_2擬直積構造 / グルサ・サブリーマン変分問題 / グルサ分布, / ルジャンドル曲線の特異点 / 高次視覚モデル / 零測地線 / 異常測地線 / (2,3,5)-分布 / G_2 構造 / エンゲル構造 / uni-modal plane curve / mapping space quotient / singular Legendre knot / symplectic moduli space / coisotropic mapping / singular Legendre submanifolds / Goursat distribution / 解空間零点定理 / 非正規型常微分方程式 / マスロフ不変量 / サーストン・ベネカン不変量 / 微分構造 / ルジャンドル曲線 / 非固有アフィン曲面 / ガウス曲率 / 特異ラグランジュ多様体 / アイソトロピック写像 / モンジュ・アンペール系 / ユニモダル特異点 / 接触モデュライ空間 / ガウス・クロネッカー曲率 / ユニモダル平面曲線 / 写像商空間 / 特異ルジャンドル結び目 / シンプレクティック・モデュライ空間 / コイソトロピック写像 / developable submanifold / dual variety / Gauss mapping / Grassmannian geometry / contact geometry / symplectic defect / simple singularity / 射影微分幾何 / ケーレー8元体 / 等質空間 / 射影構造 / 可展超曲面 / ケーリー8元数体 / 極小曲面 / 等径超曲面 / 非ホロノームホモトピー原理 / ギベンタル予想 / 接触同値 / シンプレクティック・モデュライ / 可展部分多様体 / 双対多様体 / ガウス写像 / グラスマン幾何 / シンプレクティック欠損 / 単純特異点 / Hilbert's 16th problem / Pseudo-line arrangement / Plane trigonometric curve / Open umbrella / Tangent developable / Lagrange singularity / Legendre singularity / フロント写像 / 特異葉層 / symplectic幾何 / Web幾何 / 空間曲線 / ヒルベルト化問題 / ヒルベルト16問題 / 擬直線配置 / 平面三角曲線 / 笠 / モンジュアンペ-ル方程式 / 特異パス / 終点写像 / 特異トラジェクトリ / sub-front / Carnot-Caratheodory metric / sub-Finsler structure / tangent map / frontal map / versal opening / normal form / singular trajectory / Cartan structure / tangent variety / open Scherbak surface / open folded pleat / open swallowrtail / opening / sub-Riemann metric / null-frontal / D-singularity theory / conical control system / totally singular curve / triality / Cartan's G2-geometry / hyperfield / open Scherback surface / open Mond surface / open swallowtail / opening construction / tangent surface / ジェット空間 / 幾何学的漸近 / ピカール・レフシェッツ理論 / マスロフ理論 / ディスロケーション / 振動積分 / トロピカル特異点論 / 結び目の数之上げ / ノーダル曲線 / 平面曲線のトポロジー / アメーバ / パッチワーフ / 超離散 / ヒルベルト第16問題 / 多価解 / ヴァーサリティー / 積分曲線 / 旗多様体 / ホイットニーの傘 / 非ホロノミー横断性定理 / グラスマン構造 / カノニカル分布 / 非ホロノーム系 / モンジュ・アンペ-ル方程式 / マスロフ類 / シンプレクティック幾何 … More
Except Principal Investigator
特異点 / モンジュ・アンペール方程式 / 可積分系 / シンプレクティック構造 / 接触構造 / 正則曲線 / 巾零解析 / 巾零幾何 / 幾何構造 / 特異点論 / 接触変換 / Integrable system / Integrable geodesic flow / 可積分測地流 / 特異多様体 / ラグランジュ部分多様体 / nilpotent geometry / nilpotent analysis / トーリック多様体 / 旗多様体 / 擬正則曲線 / Lagrange 部分多様体 / Floer 理論 / symplectic 構造 / ラグランジュ特異点 / 特性類 / Web / K3 surface / カルタン接続 / Liouville manifolds / Hamiltonian mechanics / リウヴィル多様体 / シンプレクティック幾何学 / ハミルトン力学 / 葉層 / ガウス写像 / 基本群 / 6次曲線 / K3曲面 / サブリーマン幾何 / 外在的幾何 / 等径超曲面 / 幾何学 / ミラー対称性 / 微分方程式 / ツイスター理論 / A-無限大構造 / 双曲空間 / ミンコフスキー空間 / 双対性 / ルジャンドル特異点 / 交叉理論 / 留数 / 特性類の局所化 / 特異点解消 / 微分幾何学 / 特異葉層構造 / dual variety / fundamental group / rational double point / supersingularity / lattices / plane curve / 格子 / singularity / Cartan connection / Zoll / contact structure / symplectic structure / Floer homology / Floerホモロジー / フロアー・ホモロジー / Monge-Ampere equation / Sophus Lie / Semiclassical approximation / Geodesic flow / Riemannian geometry / Symplectic geometry / 半古典近似 / 複素力学系 / ハミルトン・ヤコビ方程式 / 衝撃波 / 安定性 / 単純特異点 / singular varieties / Foliation / 倉西構造 / 微分方程式の幾何 / 不変量 / モンジュ・アンペール系 / 世界面 / 非線形現象 / 4頂点定理 / 超曲面 / 力学系 / 分岐被覆 / 超特異性 / 国際研究者交流 / リー環の表現と微分方程式 / フィルター付き多様体 / 接触幾何学 / 離散化 / クレロー方程式 / ルジャンドル特異点論 / インスタントン / グルサー方程式 / 重みつき微分方程式 / リー代数表現 / コーン場 / Floer理論 / 変形理論 / 相対性理論 / 擬球面 / オービフォルド / Chern類 / トム多項式 / 特異性 / 局所同値問題 / 単純階別リー環 / 特異点集合 / カットローカス / 計算幾何学 / 情報幾何学 / ルジャンドル変換 / カタストロフ理論 / 正則写像 / シンプレクティック 構造 / 倉西構造と仮装基本類・基本鎖 / orbifold / シンプレクティク orbifold / 正則曲線の理論 / 可視化 / スペシャル幾何 / tt*幾何 / エントロピー / 可積分幾何 / スピン作用 / モーメント写像 / 等径関数 / トランスノーマル関数 / L2調和1形式 / リッチ流 / トランスレイティングソリトン / 平均曲率流 / フレアホモロジー / 交叉数 / ハミルトン変形 / 共形型 / L2調和形式 / 極小ラグランジュ部分多様体 / フランス:ドイツ:ベトナム:ブラジル / フランス:ドイツ:ブラジル / 特異Lefschetz束 / 特異性類 / 同境 / ブラジル:フランス / 配置空間 / 実多項式写像芽 / 構造安定性 / 可微分写像 / データ可視化 / 同境群 / 特異ファイバー / はめ込み / 埋め込み / 特異点消去 / 多項式写像芽 / 正標数 / グレブナー基底 / 平面曲線 / representation of Lie algebra and system of PDEs / subriemannian geometry / リー環の表現と微分方程式系 / Intersection theory / Complex dynamical systems / Holomorphic foliations / Local Euler obstructions / Chern classes / Residues / Localization of characteristic classes / Singular varieties / Thom-Porteous公式 / 切断の組 / 交点理論 / 複素葉層構造 / 局所Euler障害 / Transformation group / Dynamical System / Differential Geometry / Topology / Singularities / モース理論 / 4次元多様体 / 変換群論 / 結び目理論 / ルジャンドル多様体 / 平行超曲面 / 光錐 / ホモトピー論 / 力学素 / 変換群 / 位相幾何学 / Legendre singularity theory / instanton / Clairaut equation / Goursat equation / twistor theory / 非可換性 / 双曲構造 / 半平坦部分接続 / ラプラス方程式 / 超幾何方程式 / ルジャンドル観測線 / 3次コーン構造 / ラグランジェ部分空間対 / 非ホロノーム分布 / ルジャンドル測地線 / 2階常微分方程式 / モンジュ・アンベール方程式 / Seiberg-Witten equation / 4 dimensional Kahler manifold / total curvature / constant mean curvature surface / Gauss map / exceptional holonomy / homogeneous hypersurface / isoparametric hypersurface / 平均曲率-定曲面 / 概複素曲線 / Seiberg-Witten不変量 / Einstein計量 / DS-diagram / ラグランジュ錐 / ラグランジュ・ルジャンドル部分多様体 / 四元数ケーラー多様体 / 距離空間のモジュライ / 例外ホロノミー / 等径・等質超曲面 / サイバーグウィッテン方程式 / 4元数ケーラー多様性 / 全曲率 / 平均曲率一定曲面 / 例学ホロノミー / 等質超曲面 / Galocs cover / algebraic surface / code / lattice / tundamental group / 代数多様体 / 柊子 / ガロア被覆 / 代数曲面 / 符号 / pseudo holomorphic curve / 孤立特異点 / フロアー・コホモロジー / subriemannian manifold / filtered manifold / カルノ・カラテオドリー計量 / サブリーマン接触多様体 / サブリーマン構造 / サブリーマン多様体 / exceptional minimal sec / similarity pseudogioup / quaolitative theory / foliation / 例外的極小集合 / 相似変換擬群 / 定性論 / Eillipsoid / Symplectiic geometry / Periodic geodesic flow / バミルトン力学 / Zoll計量 / 楕円体 / 周期的測地流 / マスロフの量子化条件 / ケーラー・リウヴィル多様体 / シンブレクティック幾何学 / 測地流 / リーマン幾何学 / simple singularity / Lagrangian submanifold / モノポール方程式 / A_∞-代数 / ミルナー・ファイバー / シンプレクティック・フィリング / フロアーホモロジー / Riemann-Roch theorem / coherent sheaves / multiplicity / Milnor class / Fulton-Johnson class / Schwartz-MacPherson class / localization of characteristic classes / Riemanu-Rochの定理 / Milnor数 / Fulton-Johnson類 / Riemann-Rochの定理 / 連接層 / 多重度 / Milnor類 / Fulton-Jphnsan類 / Schwartz-MacPherson類 / 特性類の局所他 / Gauss-Schwarz theory / Geodesic flows and Integrade systems / Harmonic mappings and Integrable systems / Systems of higher order partial differential equations of finite type / Monge-Ampere equations / Contact transformations / 過剰決定系 / 射影部分多様体論 / 高階有限型微分方程式 / 調和写像 / 解の特異点 / Gaup.Schwary理論 / Gauss-Schwarz理論 / 測地流と可積分系 / 調和写像と可積分系 / 高階有限型微分方程式系 / singular variety / Cohen-Macaulayfication / Riemann-Roch / resolution of singularity / オルタレーション / コーエン・マコーレー化 / リーマン・ロッホ / geometric structure / Monge-Ampere方程式 / ソフィス・リ- / 微分方程式の不変量 / リー群 / ソフィス・リー / Weak solution / Lagrangian immersion / hyperbolic Gauss map / four vertices theorem / ruled surface / Minkowski space / Gravitation lens / The Eikonal equations / 双曲的縮閉線 / 光的曲面 / ローレンツ微分幾何 / ヘルムポルツ方程式 / コンピュータ・グラフィックス / ベルトラン曲線 / 双曲平面 / ローレンツ微分幾何学 / 特性曲線 / コンピュータグラフィックス / ダルブー可展開面 / 漸近解 / ヘルムホルツ方程式 / 弱解 / ラグランジュはめ込み / 双曲的ガウス写像 / 線織面 / 重力レンズ / アイコナル方程式 / クウヴィル多様体 / 測地線 / リーマン多様体 / Higher Order ODE / First Order PDE / Non solvable Dynamics / Complex dynamics / Chern onnection / 留数公式 / pseudo group / ルジャンドル / 一階微分方程式 / 高階偏微分方程式 / 高階拳微分方程式 / 一階偏微分方程式 / 非可解群作用 / CHERN接続 / WEB / Hyperelliptic mopping class groups / Lagrange Stability / Viscosity Solution / Quasi-linear First Order PDE / Hypergeometric Systems / Contact Transformation / 超幾何微分方程式系 / 同値問題 / 例外単純リー環 / 二階偏微分方程式系 / 二階の過剰決定系 / 例外形単純リー環 / 準線形一階偏微分方程式 / 超楕円写像類群 / ラフランシュ安定性 / 超性解の分岐 / 準線形二階偏微分方程式 / 超幾何方程式系 / 接触交換 / Cohomology / Lagrangian stability / Ginzburg-Landau equations / Fascet surfaces / Shock waves / Viscosity sokutions / Conservation laws / Hamilton-Jacobi equations / シュレディンガー方程式 / ルジャンドル組み紐 / 非線形偏微分方程式 / シンプレクティック多様体 / ギンツブルクランダウ方程式 / コホモロジー / ラグランジ安定性 / ギンツブルブランダウ方程式 / ファセット面 / 粘性解 / 保存則の方程式 / Hamilton-Jacobi方程式 / Stability / moduli / Abelian variety / McKay correspondence / Simple singularity / Singularity / Representation / 横断性定理 / モノドロミ- / ハイパーケーラー多様体 / ツイスター空間 / マッケイ対応 / 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 / 商特異点 / マッカイ対応 / McKay対応 / モジュライ / アーベル多様体 / Mackey反応 / 表現論 / characteristic classes / localization / indices and residues / singular foliations / vector fields / 正則ベクトル場 / ベットル場 / 局所化 / 指数と留数 / ベクトル場 / Wed / Lagrange stable / Quasi-linear differential equation / Open Whitney umbrella / Residue of a vector field / Compactifications of C^3 / A cubic threefold / ファノ多様体 / 3次超曲面 / 複素多様体 / Lagrange安定 / Whiteneyの開いた傘 / 準線形微分方程式 / ベクトル場の留数 / C^3のcompact化 / 3次元3次超曲面 / Singular set / Unfolding theory / Singular foliation / Singularity theory / Complex analytic geometry / 特性多様体 / 解複体 / 開析理論 / 時異葉層構造 / 特異点の留数 / 開折理論 / 特異点理論 / 複素解析幾何学 / Darboux枠 / グラフ型波面 / バンド交差理論 / 焦点集合 / グラフ型大波面 / 垂足曲線 / ツバメの尾曲面 / バンド交差 / バルクエッジ対応 / ホログラフィー原理 / 光化学反応 / トポロジカル絶縁体 / カスプ辺 / 垂足部分集合 / スピントロニクス / 正則曲線と量子コホモロジー / ハミルトン微分同相写像 / スペクトル不変量 / 倉西構造と仮想的基本鎖 / A 無限大構造 / リー環の表現と幾何 / 外在幾何 / Klein-Cartanプログラム / 線形偏微分方程式 / 剛性定理 / 微分方程式系の不変量 / Klein-Cartan Program / Klein-Cartan programme / 微分方程式系 / 内在的幾何 / 非ガウス型積分 / 終結式 / ラグランジュ・グラスマン射影双対 / 共形3対性 / D_4型旗多様体 / 線形微分方程式系 / 次数つきリー代数表現 / ガウス・マニン接続 / 超幾何積分 / 共形3対性 / D_4図式 / 管状部分多様体 / 余次元2 / 宇宙論 / 余次元 / 空間的部分多様体 / ミンコフスキー時空 / 大域的性質 / 事象の地平線 / 光的超曲面 / 光的絶対全曲率 / 焦集合 / 光的幾何学 / ローレンツ空間形 / 変曲点 / ガウス・ボンネの定理 / 極大曲面 / 4頂点定理 / 波面 / 曲線 / 曲面 / 半正定値計量 / ガウス曲率 / 錐多様体 / 双曲幾何 / 2次特性類 / 3次元トポロジー / 葉層構造 / 2次特性類 / 体積 / 計算機支援 / 位相不変量 / 3次元トポロジー / Hamilton系 / A-infinity構造 / toric多様体 / Lagrange部分多様体 / symplectic構造 / toric 多様体 / 擬正則写像 / ザリスキ・ファンカンペンの定理 / ザリスキペア / 有理2重点 / 単純K3特異点 / ザリスキ・ファンカンペン / 2次剰余符号 / 単有理性 / フロベニウス固有値 / 格子理論 / 平面6次曲線 / 射影モデル / 超特異K3曲面 / 超越格子 / ネロン・セヴェリ格子 / 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 / カルタン幾何 / 線形偏微分方程式系の不変量 / 旗多様体での外在的幾何 / 有限型微分方程式系 / 高次ジェット空間 / 包合系 / 階別単純リー環 / 微分式系 / 量子コホモロジー論 / アインシュタイン計量 / Yang-Mills接続 / 調和写像論 / 特異点のモデュライ / G_2軌道 / クレパント解消予想 / tt*戸田格子 / Ricci soliton / 離散変形KdV方程式 / 可積分な運動 / 運動量写像 / 軌道の幾何学 / 量子コホモロジー / カオス性 / パンルヴェ方程式 / 離散幾何学 / 超曲面の幾何学 / エンゲル・ルジャンドル双対 / ラグランジュ・グラスマン双対 / 近ケーラー多様体 / 部分多様体 / ベックルント変換 / 超幾何微分方程式 / 超行列式 / Hamiltonian diffeomorphisms / A-infinity algebra / pseudo-holomorphic curves / Floer cohomology / toric manifolds / quantum cohomology / A-infinity structure / flux conjecture / Gromov-Witten invariants / Lagrangian submanifolds / Floer theory / 概正則曲線 / A_∞-構造 / 非ブライアント型 / 線形ワインガルテン曲面 / ホロ球面 / シンプレクテイック幾何学 / ホロ平坦 / ホロ凸 / ホロタイトはめ込み / ガウス・ボンネ型定理 / 反ド・シッター空間 / 画像処理 / 双対性の曼荼羅 / ルジャンドル双対性 / 斜傾幾何学 / ブレーン / 反ドジッター空間 / 重力場レンズ / 画像処理,ブレーン宇宙 / 接触幾何 / シンプレクテイック幾何 / 偏微分方程式 / 微分幾何 / チャーン類 / シューベルト計算 / 局所化公式 / 同変ホモロジー / 代数的スタック / 構成的関数 / チャーン・マクファーソン自然変換 / 特異チャーン類 / Lefschetz不動点定理 / Thom類 / Todd類 / 映像理論 / モチビック不変量 / 平均曲率の発展方程式 / ラグランジュ特異部分多様体 / ハミルトン-ヤコビ方程式 / 微分式系(differential system) / 特性類の留数 / Cech-de Rham cohomology / 不変部分多様体 / 複素解析的特異葉層構造 / クレロー型方程式 / 保存則 / ハミルトン-ヤコビ-ベルマン / 微分式系(difefrential system) / Lehmannの留数 / Baum-Bottの留数 Less
  • Research Projects

    (67 results)
  • Research Products

    (234 results)
  • Co-Researchers

    (166 People)
  •  Development of geometric singularity theory and its applicationsPrincipal Investigator

    • Principal Investigator
      石川 剛郎
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Hokkaido University
  •  New Generation Catastrophe Theory - An Attempt

    • Principal Investigator
      大本 亨
    • Project Period (FY)
      2024 – 2025
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 12:Analysis, applied mathematics, and related fields
    • Research Institution
      Waseda University
  •  Developments and Applications of Geometric Singularity TheoryPrincipal Investigator

    • Principal Investigator
      Ishikawa Goo
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Hokkaido University
  •  Studies on Floer theory and symplectic, contact structures

    • Principal Investigator
      Ono Kaoru
    • 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
  •  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 National 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

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 Other

All Journal Article Presentation Book

  • [Book] 微積のあたま2022

    • Author(s)
      石川 剛郎
    • Total Pages
      208
    • Publisher
      共立出版
    • ISBN
      9784320114746
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [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-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] 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] 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
  • [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
  • [Journal Article] Singularities of parallels to tangent developable surfaces2023

    • Author(s)
      Ishikawa Goo
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 75 Issue: 2 Pages: 233-249

    • DOI

      10.2748/tmj.20211220

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03458, KAKENHI-PROJECT-19H00636
  • [Journal Article] Singularities of parallels to tangent developable surfaces2022

    • Author(s)
      Ishikawa Goo
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 出版確定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Journal Article] Normal and tangent maps to frontals2021

    • Author(s)
      G. Ishikawa
    • Journal Title

      Journal of Mathematical Sciences

      Volume: 255 Issue: 5 Pages: 664-677

    • DOI

      10.1007/s10958-021-05403-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K18714, KAKENHI-PROJECT-19K03458
  • [Journal Article] Symplectic singularities of differentiable mappings2021

    • Author(s)
      G. Ishikawa and S. Janeczko
    • Journal Title

      Surveys in Differential Geometry

      Volume: 24 Issue: 1 Pages: 117-172

    • DOI

      10.4310/sdg.2019.v24.n1.a4

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K18714, KAKENHI-PROJECT-19K03458
  • [Journal Article] Recognition Problem of Frontal Singularities2020

    • Author(s)
      Ishikawa Goo
    • Journal Title

      Journal of Singularities

      Volume: 21 Pages: 149-166

    • DOI

      10.5427/jsing.2020.21i

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03458, KAKENHI-PROJECT-18K18714
  • [Journal Article] Topology of complements to real affine space line arrangements2020

    • Author(s)
      Ishikawa Goo、Oyama Motoki
    • Journal Title

      Journal of Singularities

      Volume: 22 Pages: 373-384

    • DOI

      10.5427/jsing.2020.22v

    • Peer Reviewed / Open Access
    • 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] Singular mappings and their zero-forms2020

    • Author(s)
      Goo Ishikawa, Stanislaw Janeczko
    • Journal Title

      Pure and Applied Mathematics Quarterly

      Volume: 16-5 Pages: 1643-1657

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [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] 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] 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: 71-3

    • NAID

      130007682982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [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: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [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] 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] 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 space curves2017

    • Author(s)
      Goo Ishikawa, Tatsuya Yamashita
    • Journal Title

      Journal of Geometry

      Volume: 108 Issue: 1 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 G2-geometry2016

    • Author(s)
      Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
    • Journal Title

      Asian Journal of Mathematics

      Volume: 20 Issue: 2 Pages: 353-382

    • DOI

      10.4310/ajm.2016.v20.n2.a6

    • NAID

      120006459711

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615, 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] 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-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 D4 conformal triality and singularities of tangent surfaces2015

    • Author(s)
      Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
    • Journal Title

      Journal of Singularities

      Volume: 12 Pages: 27-52

    • DOI

      10.5427/jsing.2015.12c

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400078, 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] Duality of singular paths for (2,3,5)-distributions2014

    • Author(s)
      G. Ishikawa, Y. Kitagawa, W. Yukuno
    • Journal Title

      Journal of Dynamical and Control Systems

      Volume: (掲載確定) Issue: 2 Pages: 155-171

    • DOI

      10.1007/s10883-014-9216-9

    • NAID

      120005732977

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030, KAKENHI-PROJECT-23654058
  • [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)
      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
    • 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] 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] 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] 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] 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] 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] 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] Generic bifurcations of framed curves in a space form and their envelopes2012

    • Author(s)
      G. Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: 159 Issue: 2 Pages: 492-500

    • DOI

      10.1016/j.topol.2011.09.024

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654058
  • [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] Sigularities 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] 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] 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] 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] 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] 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] 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)
      G.Ishikawa, Y.Machida, M.Takahashi
    • Journal Title

      Journal of Singularities

      Volume: 3

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654058
  • [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-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] 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] 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)
      G.Ishikawa
    • Journal Title

      Topology and its Applications 99(To appear)

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [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)
      G.Ishikawa
    • Journal Title

      Annales Polonici Mathematici 99-3

      Pages: 263-284

    • 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 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] 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] 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] 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] 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] 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-22340030
  • [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] 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] 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] 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] 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] 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] 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] 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)
      G. Ishikawa
    • Journal Title

      Japanese J. Math. 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [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] 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 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] 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] 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] 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] 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] 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] 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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)
      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)
      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, Y. Machida
    • Journal Title

      International Journal of Mathematics Vol. 17-3

      Pages: 269-293

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [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)
      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)
      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] 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] 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)
      石川剛郎
    • Journal Title

      International J.Math. 17・3

      Pages: 1-25

    • Data Source
      KAKENHI-PROJECT-14540097
  • [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)
      Ishikawa, Goo
    • Journal Title

      International J. of Math. 17

      Pages: 269-293

    • Data Source
      KAKENHI-PROJECT-18340013
  • [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] 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 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] 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] 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] 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 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 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] 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 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] 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 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] 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 curves by contactomorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      J.Geom.Phys. 52

      Pages: 113-126

    • Data Source
      KAKENHI-PROJECT-14654010
  • [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] 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 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] 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 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] 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] 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] 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)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540065
  • [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 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
  • [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
  • [Presentation] Legendre singularities of sub-Riemannian geodesics and related topics2024

    • Author(s)
      Goo Ishikawa
    • Organizer
      接触構造,特異点,微分方程式及びその周辺
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularity theory over dual numbers2023

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities of Differentiable Maps and its Applications
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularity theory over dual numbers2023

    • Author(s)
      Goo Ishikawa
    • Organizer
      28st (Numadu)-Shizuoka Workshop -- Geometry, Mathematical Physics and Quantum Theory
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] (4, 7) distributions and algebraic curves on tori2023

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities of Differentiable Maps and its Applications
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularity theory of mappings over dual numbers2023

    • Author(s)
      Goo Ishikawa
    • Organizer
      ingularity theory of Differentiable mappings and its applications,
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Frontal Jets2023

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities of Differentiable Maps and its Applications
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singular curves of (3,5)-distributions2023

    • Author(s)
      Goo Ishikawa
    • Organizer
      Extension of the Singularity theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singular curves of (4, 7) distributions and C_3,2022

    • Author(s)
      Goo Ishikawa
    • Organizer
      Correspondences of various geometries
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Legendre singularities of sub-Riemannian geodesics2022

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularity theory and its applications, RIMS-Sing 1 Workshop
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularities of parallels to tangent developable surfaces2021

    • Author(s)
      Ishikawa Goo
    • Organizer
      The Future of Singularity Theory
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularities of parallels to tangent developable surfaces2021

    • Author(s)
      Ishikawa Goo
    • Organizer
      The Sao Carlos Singularity Theory Webinar, UFSCar and ICMC - USP
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularities of parallels to tangent developable surfaces2021

    • Author(s)
      Ishikawa Goo
    • Organizer
      24-th Petrovskii Conference, Differential Equations and Related Topics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Tangential and Normal Maps to Frontals2020

    • Author(s)
      Goo Ishikawa,
    • Organizer
      The International Conference on Differential Equations and Dynamical Systems 2020
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Singularities of parallels to tangent maps of frontals,2020

    • Author(s)
      Goo Ishikawa
    • Organizer
      16th International Workshop on Real and Complex Singularities
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [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] 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] 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] 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] 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] 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
      Contact structure, Singularities, Differential equations and related area
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [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] 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] 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] 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
      24th Numazu conference,
    • Place of Presentation
      沼津高専(静岡県・沼津市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [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] 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
      Singularities in Generic Geometry and its Applications
    • 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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
    • 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] 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] 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] 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] 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] 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] 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] 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] 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] 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 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 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] 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] 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] 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] 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 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 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 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] 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] 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] 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] 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] 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] 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] 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] 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] 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] 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
  • [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
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  • 151.  入江 慶 (90645467)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 152.  赤穂 まなぶ (30332935)
    # 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.  荒井 迅 (80362432)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 155.  Ogawa Noboru
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 156.  鈴木 徳行
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 157.  西 弘嗣
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 158.  長谷川 四郎
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 159.  大串 健一
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 160.  入野 智久
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 161.  原田 尚美
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 162.  内田 昌男
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 163.  江森 良太郎
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 164.  菅沼 香織
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 165.  佐藤 瑛子
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 166.  Janeczko Stanislaw
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results

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