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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
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Affiliation (Current) 2020: 北海道大学, 理学研究院, 教授
Affiliation (based on the past Project Information) *help 2016 – 2020: 北海道大学, 理学研究院, 教授
2011 – 2016: 北海道大学, 理学(系)研究科(研究院), 教授
2015: 北大, 大学院理学研究科, 教授
2015: 北海道大学, 大学院理学研究院, 教授
2014: 北海道大学, 大学院理学研究科, 教授 … More
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 / Global analysis / Global analysis / Basic Section 11020:Geometry-related
Except Principal Investigator
Geometry / Geometry / 代数学・幾何学 / Algebra / Algebra / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords
Principal Investigator
ルジャンドル特異点 / 接触構造 / 接触幾何 / ラグランジュ特異点 / Monge-Ampere equation / 特異点論 / 可展開面 / 射影幾何 / 可展面 / ルジャンドル多様体 … More / 非ホロノーム横断性定理 / 特異ルジャンドル多様体 / 制御系 / モンジュ・アンペール方程式 / グルサ分布 / グルサ系 / (2,3,5)分布 / ラグランジュ錐構造 / フロンタル / コフロンタル / 特異点の認識問題 / 双対性 / シンプレクティック幾何 / マスロフ類 / モンジュ・アンペ-ル方程式 / サブリーマン幾何 / 非ホロノーム系 / カノニカル分布 / グラスマン構造 / 非ホロノミー横断性定理 / ホイットニーの傘 / 旗多様体 / 積分曲線 / ヴァーサリティー / 多価解 / ヒルベルト第16問題 / 超離散 / パッチワーフ / アメーバ / 平面曲線のトポロジー / ノーダル曲線 / 結び目の数之上げ / トロピカル特異点論 / 振動積分 / ディスロケーション / マスロフ理論 / ピカール・レフシェッツ理論 / 幾何学的漸近 / ジェット空間 / tangent surface / opening construction / open swallowtail / open Mond surface / open Scherback surface / hyperfield / Cartan's G2-geometry / triality / totally singular curve / conical control system / D-singularity theory / null-frontal / sub-Riemann metric / opening / open swallowrtail / open folded pleat / open Scherbak surface / tangent variety / Cartan structure / singular trajectory / normal form / versal opening / frontal map / tangent map / sub-Finsler structure / Carnot-Caratheodory metric / sub-front / 特異トラジェクトリ / 終点写像 / 特異パス / モンジュアンペ-ル方程式 / 笠 / 平面三角曲線 / 擬直線配置 / ヒルベルト16問題 / ヒルベルト化問題 / 空間曲線 / Web幾何 / symplectic幾何 / 特異葉層 / フロント写像 / Legendre singularity / Lagrange singularity / Tangent developable / Open umbrella / Plane trigonometric curve / Pseudo-line arrangement / Hilbert's 16th problem / 単純特異点 / シンプレクティック欠損 / グラスマン幾何 / ガウス写像 / 双対多様体 / 可展部分多様体 / シンプレクティック・モデュライ / 接触同値 / ギベンタル予想 / 非ホロノームホモトピー原理 / 等径超曲面 / 極小曲面 / ケーリー8元数体 / 可展超曲面 / 射影構造 / 等質空間 / ケーレー8元体 / 射影微分幾何 / simple singularity / symplectic defect / contact geometry / Grassmannian geometry / Gauss mapping / dual variety / developable submanifold / コイソトロピック写像 / シンプレクティック・モデュライ空間 / 特異ルジャンドル結び目 / 写像商空間 / ユニモダル平面曲線 / ガウス・クロネッカー曲率 / 接触モデュライ空間 / ユニモダル特異点 / モンジュ・アンペール系 / アイソトロピック写像 / 特異ラグランジュ多様体 / ガウス曲率 / 非固有アフィン曲面 / ルジャンドル曲線 / 微分構造 / サーストン・ベネカン不変量 / マスロフ不変量 / 非正規型常微分方程式 / 解空間零点定理 / Goursat distribution / singular Legendre submanifolds / coisotropic mapping / symplectic moduli space / singular Legendre knot / mapping space quotient / uni-modal plane curve / エンゲル構造 / G_2 構造 / (2,3,5)-分布 / 異常測地線 / 零測地線 / 高次視覚モデル / ルジャンドル曲線の特異点 / グルサ分布, / グルサ・サブリーマン変分問題 / G_2擬直積構造 / G_2接触構造 / 接線曲面 / 特異点の安定性 / 特異点のロバスト性 / 開化 / 分岐加群 / G2接触構造 / フロンタル安定性 / 写像の特異点 / 幾何学的制御理論 / 錐構造 / 特異点の実形 / ジェネリック幾何 / 幾何構造 / 拘束ハミルトン系 / ニュートラル計量 / 幾何学的解 / 特異制御 / シンプレクティック構造 / ラグランジュ多様体 / 微分式系 / 幾何ロバスト性 / 幾何学化 … More
Except Principal Investigator
特異点 / モンジュ・アンペール方程式 / シンプレクティック構造 / 可積分系 / 接触変換 / 特異点論 / 幾何構造 / 巾零幾何 / 巾零解析 / 正則曲線 / 接触構造 / Web / 特性類 / ラグランジュ特異点 / Floer 理論 / 擬正則曲線 / 旗多様体 / トーリック多様体 / nilpotent analysis / nilpotent geometry / 特異多様体 / 可積分測地流 / Integrable geodesic flow / Integrable system / 特異葉層構造 / 微分幾何学 / 特異点解消 / 特性類の局所化 / 留数 / 交叉理論 / ルジャンドル特異点 / 双対性 / ミンコフスキー空間 / 双曲空間 / symplectic 構造 / Lagrange 部分多様体 / A-無限大構造 / ツイスター理論 / 微分方程式 / ミラー対称性 / 幾何学 / 等径超曲面 / 外在的幾何 / サブリーマン幾何 / K3曲面 / 6次曲線 / 基本群 / ガウス写像 / ラグランジュ部分多様体 / 葉層 / ハミルトン力学 / シンプレクティック幾何学 / リウヴィル多様体 / Hamiltonian mechanics / Liouville manifolds / カルタン接続 / K3 surface / 特異点集合 / 単純階別リー環 / 局所同値問題 / 特異性 / トム多項式 / Chern類 / 擬球面 / 相対性理論 / 変形理論 / Floer理論 / コーン場 / リー代数表現 / 重みつき微分方程式 / グルサー方程式 / インスタントン / ルジャンドル特異点論 / クレロー方程式 / 離散化 / 接触幾何学 / フィルター付き多様体 / リー環の表現と微分方程式 / 国際研究者交流 / 超特異性 / 分岐被覆 / 力学系 / 超曲面 / 4頂点定理 / 非線形現象 / 世界面 / モンジュ・アンペール系 / 不変量 / 微分方程式の幾何 / Foliation / singular varieties / 単純特異点 / 安定性 / 衝撃波 / ハミルトン・ヤコビ方程式 / 複素力学系 / 半古典近似 / Symplectic geometry / Riemannian geometry / Geodesic flow / Semiclassical approximation / Sophus Lie / Monge-Ampere equation / フロアー・ホモロジー / Floerホモロジー / Floer homology / symplectic structure / contact structure / Zoll / Cartan connection / singularity / 格子 / plane curve / lattices / supersingularity / rational double point / fundamental group / dual variety / Baum-Bottの留数 / Lehmannの留数 / 微分式系(difefrential system) / ハミルトン-ヤコビ-ベルマン / 保存則 / クレロー型方程式 / 複素解析的特異葉層構造 / 不変部分多様体 / Cech-de Rham cohomology / 特性類の留数 / 微分式系(differential system) / ハミルトン-ヤコビ方程式 / ラグランジュ特異部分多様体 / 平均曲率の発展方程式 / モチビック不変量 / 映像理論 / Todd類 / Thom類 / Lefschetz不動点定理 / 特異チャーン類 / チャーン・マクファーソン自然変換 / 構成的関数 / 代数的スタック / 同変ホモロジー / 局所化公式 / シューベルト計算 / チャーン類 / オービフォルド / 微分幾何 / 偏微分方程式 / シンプレクテイック幾何 / 接触幾何 / 画像処理,ブレーン宇宙 / 重力場レンズ / 反ドジッター空間 / ブレーン / 斜傾幾何学 / ルジャンドル双対性 / 双対性の曼荼羅 / 画像処理 / 反ド・シッター空間 / ガウス・ボンネ型定理 / ホロタイトはめ込み / ホロ凸 / ホロ平坦 / シンプレクテイック幾何学 / ホロ球面 / 線形ワインガルテン曲面 / 非ブライアント型 / A_∞-構造 / 概正則曲線 / Floer theory / Lagrangian submanifolds / Gromov-Witten invariants / flux conjecture / A-infinity structure / quantum cohomology / toric manifolds / Floer cohomology / pseudo-holomorphic curves / A-infinity algebra / Hamiltonian diffeomorphisms / 超行列式 / 超幾何微分方程式 / ベックルント変換 / 部分多様体 / 近ケーラー多様体 / ラグランジュ・グラスマン双対 / エンゲル・ルジャンドル双対 / 超曲面の幾何学 / 離散幾何学 / パンルヴェ方程式 / カオス性 / 量子コホモロジー / 軌道の幾何学 / 運動量写像 / 可積分な運動 / 離散変形KdV方程式 / Ricci soliton / tt*戸田格子 / クレパント解消予想 / G_2軌道 / 特異点のモデュライ / 調和写像論 / Yang-Mills接続 / アインシュタイン計量 / 量子コホモロジー論 / 微分式系 / 階別単純リー環 / 包合系 / 高次ジェット空間 / 有限型微分方程式系 / 旗多様体での外在的幾何 / 線形偏微分方程式系の不変量 / カルタン幾何 / オーストリア:ベラルーシュ:イタリア:フランス:ポーランド / ネロン・セヴェリ格子 / 超越格子 / 超特異K3曲面 / 射影モデル / 平面6次曲線 / 格子理論 / フロベニウス固有値 / 単有理性 / 2次剰余符号 / ザリスキ・ファンカンペン / 単純K3特異点 / 有理2重点 / ザリスキペア / ザリスキ・ファンカンペンの定理 / 擬正則写像 / toric 多様体 / symplectic構造 / Lagrange部分多様体 / toric多様体 / A-infinity構造 / Hamilton系 / 3次元トポロジー / 位相不変量 / 計算機支援 / 体積 / 2次特性類 / 葉層構造 / 3次元トポロジー / 2次特性類 / 双曲幾何 / 錐多様体 / ガウス曲率 / 半正定値計量 / 曲面 / 曲線 / 波面 / 4頂点定理 / 極大曲面 / ガウス・ボンネの定理 / 変曲点 / ローレンツ空間形 / 光的幾何学 / 焦集合 / 光的絶対全曲率 / 光的超曲面 / 事象の地平線 / 大域的性質 / ミンコフスキー時空 / 空間的部分多様体 / 余次元 / 宇宙論 / 余次元2 / 管状部分多様体 / D_4図式 / 共形3対性 / 超幾何積分 / ガウス・マニン接続 / 次数つきリー代数表現 / 線形微分方程式系 / D_4型旗多様体 / 共形3対性 / ラグランジュ・グラスマン射影双対 / 終結式 / 非ガウス型積分 / 内在的幾何 / 微分方程式系 / Klein-Cartan programme / Klein-Cartan Program / 微分方程式系の不変量 / 剛性定理 / 線形偏微分方程式 / Klein-Cartanプログラム / 外在幾何 / リー環の表現と幾何 / A 無限大構造 / 倉西構造と仮想的基本鎖 / スペクトル不変量 / 倉西構造 / ハミルトン微分同相写像 / 正則曲線と量子コホモロジー / スピントロニクス / 垂足部分集合 / カスプ辺 / トポロジカル絶縁体 / 光化学反応 / ホログラフィー原理 / バルクエッジ対応 / バンド交差 / ツバメの尾曲面 / 垂足曲線 / グラフ型大波面 / 焦点集合 / バンド交差理論 / グラフ型波面 / Darboux枠 / 複素解析幾何学 / 特異点理論 / 開折理論 / 特異点の留数 / 時異葉層構造 / 開析理論 / 解複体 / 特性多様体 / Complex analytic geometry / Singularity theory / Singular foliation / Unfolding theory / Singular set / 3次元3次超曲面 / C^3のcompact化 / ベクトル場の留数 / 準線形微分方程式 / Whiteneyの開いた傘 / Lagrange安定 / 複素多様体 / 3次超曲面 / ファノ多様体 / A cubic threefold / Compactifications of C^3 / Residue of a vector field / Open Whitney umbrella / Quasi-linear differential equation / Lagrange stable / Wed / ベクトル場 / 指数と留数 / 局所化 / ベットル場 / 正則ベクトル場 / vector fields / singular foliations / indices and residues / localization / characteristic classes / 表現論 / Mackey反応 / アーベル多様体 / モジュライ / McKay対応 / マッカイ対応 / 商特異点 / ヒルベルト スキーム / スタビリィティ(安定性) / ヒルベルトスキーム / マッケイ対応 / ツイスター空間 / ハイパーケーラー多様体 / モノドロミ- / 横断性定理 / Representation / Singularity / Simple singularity / McKay correspondence / Abelian variety / moduli / Stability / Hamilton-Jacobi方程式 / 保存則の方程式 / 粘性解 / ファセット面 / ギンツブルブランダウ方程式 / ラグランジ安定性 / コホモロジー / ギンツブルクランダウ方程式 / シンプレクティック多様体 / 非線形偏微分方程式 / ルジャンドル組み紐 / シュレディンガー方程式 / Hamilton-Jacobi equations / Conservation laws / Viscosity sokutions / Shock waves / Fascet surfaces / Ginzburg-Landau equations / Lagrangian stability / Cohomology / 接触交換 / 超幾何方程式系 / 準線形二階偏微分方程式 / 超性解の分岐 / ラフランシュ安定性 / 超楕円写像類群 / 準線形一階偏微分方程式 / 例外形単純リー環 / 二階の過剰決定系 / 二階偏微分方程式系 / 例外単純リー環 / 同値問題 / 超幾何微分方程式系 / Contact Transformation / Hypergeometric Systems / Quasi-linear First Order PDE / Viscosity Solution / Lagrange Stability / Hyperelliptic mopping class groups / WEB / CHERN接続 / 非可解群作用 / 一階偏微分方程式 / 高階拳微分方程式 / 高階偏微分方程式 / 一階微分方程式 / ルジャンドル / pseudo group / 留数公式 / Chern onnection / Complex dynamics / Non solvable Dynamics / First Order PDE / Higher Order ODE / リーマン多様体 / 測地線 / クウヴィル多様体 / アイコナル方程式 / 重力レンズ / 線織面 / 双曲的ガウス写像 / ラグランジュはめ込み / 弱解 / ヘルムホルツ方程式 / 漸近解 / ダルブー可展開面 / コンピュータグラフィックス / 特性曲線 / ローレンツ微分幾何学 / 双曲平面 / ベルトラン曲線 / コンピュータ・グラフィックス / ヘルムポルツ方程式 / ローレンツ微分幾何 / 光的曲面 / 双曲的縮閉線 / The Eikonal equations / Gravitation lens / Minkowski space / ruled surface / four vertices theorem / hyperbolic Gauss map / Lagrangian immersion / Weak solution / ソフィス・リー / リー群 / 微分方程式の不変量 / ソフィス・リ- / Monge-Ampere方程式 / geometric structure / リーマン・ロッホ / コーエン・マコーレー化 / オルタレーション / resolution of singularity / Riemann-Roch / Cohen-Macaulayfication / singular variety / 高階有限型微分方程式系 / 調和写像と可積分系 / 測地流と可積分系 / Gauss-Schwarz理論 / Gaup.Schwary理論 / 解の特異点 / 調和写像 / 高階有限型微分方程式 / 射影部分多様体論 / 過剰決定系 / Contact transformations / Monge-Ampere equations / Systems of higher order partial differential equations of finite type / Harmonic mappings and Integrable systems / Geodesic flows and Integrade systems / Gauss-Schwarz theory / 特性類の局所他 / Schwartz-MacPherson類 / Fulton-Jphnsan類 / Milnor類 / 多重度 / 連接層 / Riemann-Rochの定理 / Fulton-Johnson類 / Milnor数 / Riemanu-Rochの定理 / localization of characteristic classes / Schwartz-MacPherson class / Fulton-Johnson class / Milnor class / multiplicity / coherent sheaves / Riemann-Roch theorem / フロアーホモロジー / シンプレクティック・フィリング / ミルナー・ファイバー / A_∞-代数 / モノポール方程式 / Lagrangian submanifold / simple singularity / リーマン幾何学 / 測地流 / シンブレクティック幾何学 / ケーラー・リウヴィル多様体 / マスロフの量子化条件 / 周期的測地流 / 楕円体 / Zoll計量 / バミルトン力学 / Periodic geodesic flow / Symplectiic geometry / Eillipsoid / 定性論 / 相似変換擬群 / 例外的極小集合 / foliation / quaolitative theory / similarity pseudogioup / exceptional minimal sec / サブリーマン多様体 / サブリーマン構造 / サブリーマン接触多様体 / カルノ・カラテオドリー計量 / filtered manifold / subriemannian manifold / フロアー・コホモロジー / 孤立特異点 / pseudo holomorphic curve / 符号 / 代数曲面 / ガロア被覆 / 柊子 / 代数多様体 / tundamental group / lattice / code / algebraic surface / Galocs cover / 等質超曲面 / 例学ホロノミー / 平均曲率一定曲面 / 全曲率 / 4元数ケーラー多様性 / サイバーグウィッテン方程式 / 等径・等質超曲面 / 例外ホロノミー / 距離空間のモジュライ / 四元数ケーラー多様体 / ラグランジュ・ルジャンドル部分多様体 / ラグランジュ錐 / DS-diagram / Einstein計量 / Seiberg-Witten不変量 / 概複素曲線 / 平均曲率-定曲面 / isoparametric hypersurface / homogeneous hypersurface / exceptional holonomy / Gauss map / constant mean curvature surface / total curvature / 4 dimensional Kahler manifold / Seiberg-Witten equation / モンジュ・アンベール方程式 / 2階常微分方程式 / ルジャンドル測地線 / 非ホロノーム分布 / ラグランジェ部分空間対 / 3次コーン構造 / ルジャンドル観測線 / 超幾何方程式 / ラプラス方程式 / 半平坦部分接続 / 双曲構造 / 非可換性 / twistor theory / Goursat equation / Clairaut equation / instanton / Legendre singularity theory / 位相幾何学 / 変換群 / 力学素 / ホモトピー論 / 光錐 / 平行超曲面 / ルジャンドル多様体 / 結び目理論 / 変換群論 / 4次元多様体 / モース理論 / Singularities / Topology / Differential Geometry / Dynamical System / Transformation group / 局所Euler障害 / 複素葉層構造 / 交点理論 / 切断の組 / Thom-Porteous公式 / Singular varieties / Localization of characteristic classes / Residues / Chern classes / Local Euler obstructions / Holomorphic foliations / Complex dynamical systems / Intersection theory / リー環の表現と微分方程式系 / subriemannian geometry / representation of Lie algebra and system of PDEs / 平面曲線 / グレブナー基底 / 正標数 / 多項式写像芽 / 特異点消去 / 埋め込み / はめ込み / 特異ファイバー / 同境群 / データ可視化 / 可微分写像 / 構造安定性 / 実多項式写像芽 / 配置空間 / ブラジル:フランス / 同境 / 特異性類 / 特異Lefschetz束 / フランス:ドイツ:ブラジル / フランス:ドイツ:ベトナム:ブラジル / 極小ラグランジュ部分多様体 / L2調和形式 / 共形型 / ハミルトン変形 / 交叉数 / フレアホモロジー / 平均曲率流 / トランスレイティングソリトン / リッチ流 / L2調和1形式 / トランスノーマル関数 / 等径関数 / モーメント写像 / スピン作用 / 可積分幾何 / エントロピー / tt*幾何 / スペシャル幾何 / 可視化 / シンプレクティック 構造 Less
  • Research Projects

    (65 results)
  • Research Products

    (213 results)
  • Co-Researchers

    (165 People)
  •  Studies on Floer theory and symplectic, contact structuresOngoing

    • Principal Investigator
      小野 薫
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Kyoto University
  •  Developments and Applications of Geometric Singularity TheoryPrincipal InvestigatorOngoing

    • Principal Investigator
      石川 剛郎
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Hokkaido University
  •  Application of sub-Riemannian geometry to vision modelPrincipal Investigator

    • Principal Investigator
      Ishikawa Goo
    • Project Period (FY)
      2015 – 2017
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Developments and applications of geometric singularity theoryPrincipal Investigator

    • Principal Investigator
      Goo Ishikawa
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Development of Floer theory and study on symplectic structures

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2014 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
  •  Geometric studies on singularity of non-linear phenomena

    • Principal Investigator
      Izumiya Shyuichi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Development of nilpotent geometry and nilpotent analysis II

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Doshisha University
      Kinki University
  •  The construction of infinite dimensional singularity theory of completely non-integrable systems and its applications to the singular motion-planning problemPrincipal Investigator

    • Principal Investigator
      ISHIKAWA Goo
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  New developments of singularity theory of mappings

    • Principal Investigator
      SAEKI OSAMU
    • Project Period (FY)
      2011 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
  •  Development of Integrable Geometry

    • Principal Investigator
      Miyaoka Reiko
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Deepening three-manifold theory

    • Principal Investigator
      KOJIMA Sadayoshi
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Geometry of curves, surfaces and hypersurfaces with singularities

    • Principal Investigator
      UMEHARA Masaaki
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
      Osaka University
  •  A research on the geometric singularities of non-linear phenomena

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometryPrincipal Investigator

    • Principal Investigator
      GOO Ishikawa
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  Study on relations between differential equations and geometric structures by the method of twistor theory

    • Principal Investigator
      MACHIDA YOSHINORI
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu College of Technology
  •  Studies on Floer thoery, theory of holomorphic curves and symplectic structures, contact structures

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2009 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
      Hokkaido University
  •  量子フェーズ特異点論と新しい幾何光学Principal Investigator

    • Principal Investigator
      石川 剛郎
    • Project Period (FY)
      2009 – 2010
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  K3 surfaces and related algebraic varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  Correlation between differential equations, geometric structures, and twistor theory

    • Principal Investigator
      MACHIDA Yoshinori
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu College of Technology
  •  Fusion of geometry and the theory of integrable systems

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
  •  Research on the differential sysytems and geometric structures associated with simple graded Lie algebras

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Developments of nilpotent geometry and nilpotent analysis

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyoto University
      Nara Women's University
  •  トロピカル幾何の位相代数幾何への応用Principal Investigator

    • Principal Investigator
      石川 剛郎
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Differential Geometry and Partial Differential Equations as an application of Singularity theory

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Study on Floer theory and symplectic geometry

    • Principal Investigator
      KAORU Ono
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Explicit Study of Algebraic Varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2006 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  Equivariant theory of Chern classes, Integrals based on Euler characteristics and related topics

    • Principal Investigator
      OHMOTO Toru
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Developments of nilpotent geometry and nilpotent analysis, and subriemannian geometry

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  Research on several geometry from the view point of sinuglarity theory

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Residues on Singular Varieties

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Niigata University
      Hokkaido University
  •  特異点論とその応用

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Todd類の源を求めて

    • Principal Investigator
      諏訪 立雄
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Floor homology, singularities and deformation theory

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Applied singularity theory to exterior differential systemsPrincipal Investigator

    • Principal Investigator
      ISHIKAWA Goo
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Fundamental groups of algebraic varieties

    • Principal Investigator
      SHIMADA Ichiro
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Differential equations and theory of submanifolds

    • Principal Investigator
      MIYAOKA Reiko
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Kyushu University
      Sophia University
  •  Twistor correspondence between different geometric structures and application to differential equations and field theory

    • Principal Investigator
      MACHIDA Yoshinori
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Numazu National College of Technology
  •  Integrable geodesic flows and Masloy's quantization condition

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Geometries related to foliations

    • Principal Investigator
      NISHIMORI toshiyuki
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Geometric structures and differential equations on filtered manifolds

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
  •  コントロール理論への特異点論の応用Principal Investigator

    • Principal Investigator
      石川 剛郎
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Hokkaido University
  •  Research of Systems of Partial Differential Equations from the view point of Contact Geometry

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1999 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Research on Characteristic Classes of Singular Varieties

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Symplectic structures and singularities

    • Principal Investigator
      ONO Kaoru
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Integrable geodesic flows and semi-classical approximations

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Singularity theoretical research on Partial Differential Equations and Differential Geometry

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Projective contact geometry and singularity theoryPrincipal Investigator

    • Principal Investigator
      ISHIKAWA Goo
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDOUNIVERSITY
  •  Geometric and group-theoretic studies on differential equations

    • Principal Investigator
      MORIMOTO Tohru
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Nara Women's University
      Kyoto University of Education
  •  Resolution of singularities in arbitrary characteristic

    • Principal Investigator
      KURANO Kazuhiko
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      TOKYO METOROPOLITAN UNIVERSITY
  •  Classical theory and quantization on integrable geodesic flows

    • Principal Investigator
      KIYOHARA Kazuyoshi
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Study of singularities and geometry by means of representation theory

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      1996 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Geometry and Analysis of non-linear Partial Differentail Equations

    • Principal Investigator
      IZUMIYA Shyuichi
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Contact Geometry of Second Order

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido Univ.
  •  First Order Partial Differential Equation and WEB Geometry

    • Principal Investigator
      NAKAI Isao
    • Project Period (FY)
      1996 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  Research on Complex Analytic Geometry and Singularity Theory

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Contact geometric singularity theory of projective varieties.Principal Investigator

    • Principal Investigator
      ISHIKAWA Go-o
    • Project Period (FY)
      1995 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      HOKKAIDO UNIVERSITY
  •  複素解析的葉層構造の特異点の研究

    • Principal Investigator
      諏訪 立雄
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  二階の接触幾何学

    • Principal Investigator
      山口 佳三
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  偏微分方程式の幾何と解析

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  Study on Complex Manifolds

    • Principal Investigator
      NAKAMURA Iku
    • Project Period (FY)
      1994 – 1995
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Hokkaido University
  •  偏微分方程式の幾何学的理論と特異点

    • Principal Investigator
      泉屋 周一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  シンプレクティック幾何と接触幾何の特異点論的研究Principal Investigator

    • Principal Investigator
      石川 剛郎
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
  •  複素解析的葉層構造の特異点の研究

    • Principal Investigator
      TATSUO Suwa
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for Scientific Research on Priority Areas
    • Research Institution
      Hokkaido University
  •  二階の接触幾何学

    • Principal Investigator
      YAMAGUCHI Keizo
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hokkaido University
  •  Research on Complex Analytic Geometry and Singularity Theory

    • Principal Investigator
      SUWA Tatsuo
    • Project Period (FY)
      1990 – 1991
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      代数学・幾何学
    • Research Institution
      Hokkaido University

All 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] 論理・集合・数学語2015

    • Author(s)
      石川剛郎
    • Total Pages
      190
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Book] Singularities of Curves and Surfaces in Various Geometric Problems2015

    • Author(s)
      Goo Ishikawa
    • Total Pages
      94
    • Publisher
      Center for Advanced Studies, Warsaw University of Technology, Warsaw
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Book] Singularities of Curves and Surfaces in Various Geometric Problems2015

    • Author(s)
      Goo Ishikawa
    • Total Pages
      94
    • Publisher
      Center for Advanced Studies, Warsaw University of Technology, Warsaw
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Book] 論理・集合・数学語2015

    • Author(s)
      石川剛郎
    • Total Pages
      190
    • Publisher
      共立出版
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Book] Singularity theory and Its Applications, Advanced Studies in Pure Mathematics2006

    • Author(s)
      S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada, T. Sano
    • Publisher
      Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] Singularity theory and Its Applications2006

    • Author(s)
      S. Izumiya, G. Ishikawa, H. Tokunaga, I. Shimada and T. Sano
    • Publisher
      Pure Mathematics vol. 43 Mathematical Society of Japan
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Book] Perturbations of Caustics and Fronts, Vol.622004

    • Author(s)
      G.Ishikawa
    • Publisher
      Banach Center
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Book] Symplectic singularities of isotropic mappings, vol.652004

    • Author(s)
      G.Ishikawa
    • Publisher
      Banach Center
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Singular mappings and their zero-forms.2020

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

      Pure and Applied Mathematics Quarterly

      Volume: 出版確定

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Journal Article] Duality of (2,3,5)-distributions and Lagrangian cone structures2020

    • Author(s)
      Goo Ishikawa, Yumiko Kitagawa, Asahi Tsuchida, Wataru Yukuno
    • Journal Title

      Nagoya Mathematical Journal

      Volume: 出版確定

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Journal Article] Recognition Problem of Frontal Singularities2020

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Journal of Singularities

      Volume: 21

    • DOI

      10.5427/jsing.2020.21i

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03458, KAKENHI-PROJECT-18K18714
  • [Journal Article] Cofrontals2019

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Romanian Journal of Pure and Applied Mathematics

      Volume: 60-4

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Journal Article] Leibniz complexity of Nash functions on differentiations2019

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

      Journal of the Mathematical Society of Japan

      Volume: 印刷中

    • NAID

      130007682982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Journal Article] Leibniz complexity of Nash functions on differentiations2019

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

      Journal of the Mathematical Society of Japan

      Volume: 71-3

    • NAID

      130007682982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Journal Article] Singularities of tangent surfaces to directed curves2018

    • Author(s)
      Ishikawa G.、Yamashita T.
    • Journal Title

      Topology and its Applications

      Volume: 234 Pages: 198-208

    • DOI

      10.1016/j.topol.2017.11.018

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-18K18714, KAKENHI-PROJECT-15H03615
  • [Journal Article] Leibniz complexity of Nash functions on differentiations2018

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

      Journal of the Mathematical Society of Japan

      Volume: 印刷中

    • NAID

      130007682982

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Journal Article] Singularities of frontals2018

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 78

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Journal Article] Singularities of frontals2018

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Journal Article] Residual Algebraic Restrictions of Differential Forms2017

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

      Methods and Applications of Analysis

      Volume: 24-1 Pages: 045-062

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Journal Article] Residual Algebraic Restrictions of Differential Forms2017

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

      Methods and Applications of Analysis

      Volume: 24-1 Pages: 045-062

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Journal Article] Singularities of tangent surfaces to generic space curves2017

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

      Journal of Geoemtry

      Volume: 108 Pages: 301-318

    • DOI

      10.1007/s00022-016-0341-3

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15H03615, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-26287009
  • [Journal Article] D_n-geometry and singularities of tangent surfaces2016

    • Author(s)
      G. Ishikawa, Y. Machida, M. Takahashi
    • Journal Title

      RIMS Kokyuroku Bessatsu,

      Volume: 未定

    • NAID

      120006459747

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Journal Article] D_n-geometry and singularities of tangent surfaces2016

    • Author(s)
      G. Ishikawa, Y. Machida, M. Takahashi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 未定

    • NAID

      120006459747

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Journal Article] Singularities of tangent surfaces in Cartan's split G_2-geometry2016

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

      Asian J. Math.

      Volume: 20 Pages: 353-382

    • DOI

      10.4310/ajm.2016.v20.n2.a6

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615, KAKENHI-PROJECT-26287009
  • [Journal Article] Monge-Ampere systems with Lagrangian pairs2015

    • Author(s)
      Goo Ishikawa and Yoshinori Machida
    • Journal Title

      Symmetry Integrability Geom. Methods Appli.

      Volume: 11

    • NAID

      120005672373

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Journal Article] Classification problems on singularities of mappings and their applications2015

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Sugaku Exposition

      Volume: 28-2 Pages: 189-214

    • NAID

      10030740955

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Journal Article] Classification problems on singularities of mappings and their applications2015

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Sugaku Exposition

      Volume: 28-2 Pages: 189-214

    • NAID

      10030740955

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Journal Article] Geometry of D_4 conformal triality and singularities of tangent surfaces2015

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

      Journal of Singularities

      Volume: 12 Pages: 25-52

    • DOI

      10.5427/jsing.2015.12c

    • NAID

      120006459740

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615
  • [Journal Article] Monge-Ampere systems with Lagrangian pair2015

    • Author(s)
      G. Ishikawa, Y. Machida
    • Journal Title

      Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

      Volume: 11

    • DOI

      10.3842/sigma.2015.081

    • NAID

      120005672373

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615
  • [Journal Article] Geometry of D_4 conformal triality and sibgularities of tangent surfaces2014

    • Author(s)
      待田芳徳、石川剛郎、高橋雅朋
    • Journal Title

      Hokkaido Univ. EPrints Server

      Volume: 1051 Pages: 1-25

    • Data Source
      KAKENHI-PROJECT-22540109
  • [Journal Article] Tangent varieties and openings of map-germs2013

    • Author(s)
      Goo Ishikawa
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B38 Pages: 119-137

    • NAID

      120006459706

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Tangent varieties and openings of map-germs2013

    • Author(s)
      Goo Ishikawa (G. Ishikawa)
    • Journal Title

      京都大学数理解析研究所講究録別冊

      Volume: B38 Pages: 119-137

    • NAID

      120006459706

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] Tangent varieties and openings of map-germs2013

    • Author(s)
      G. Ishikawa
    • Journal Title

      数理解析研究所講究録別冊

      Volume: B38

    • NAID

      120006459706

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Tangent varieties and openings of map-germs2013

    • Author(s)
      Goo Ishikawa
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B38 Pages: 119-137

    • NAID

      120006459706

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kenkyubu/bessatsu-j.html

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

    • Author(s)
      G. Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: 159

    • DOI

      10.1016/j.topol.2011.09.024

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Journal Article] Symplectic invariants of parametric singularities2012

    • Author(s)
      Goo Ihiskawa (G. Ishikawa)
    • Journal Title

      Advances in Geometric Analysis, Advanced Lectures in Mathematics Series

      Volume: 21 Pages: 259-280

    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] Singularities of tangent varieties to curves and surfaces2012

    • Author(s)
      Goo Ishikawa (G. Ishikawa)
    • Journal Title

      Journal of Singularities

      Volume: 6 Pages: 54-83

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] Singularities of tangent surfaces in Caetan's split G_2-geometry2012

    • Author(s)
      待田芳徳、石川剛郎、高橋雅朋
    • Journal Title

      Hokkaido Univ. EPrints Server

      Volume: 1020 Pages: 1-26

    • Data Source
      KAKENHI-PROJECT-22540109
  • [Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012

    • Author(s)
      Goo Ishikawa (G. Ishikawa)
    • Journal Title

      Topology and its Applications

      Volume: 159 Pages: 492-500

    • NAID

      120003898280

    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] 写像の特異性の分類問題とその応用2012

    • Author(s)
      石川剛郎
    • Journal Title

      数学

      Volume: 64-1 Pages: 75-96

    • NAID

      10030740955

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

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: vol.159 Pages: 492-500

    • NAID

      120003898280

    • URL

      http://www.sciencedirect.com/science/journal/01668641/159/2

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

    • Author(s)
      G.Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: 159 Pages: 492-500

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Classification problems on singularities of mappings and their applications2012

    • Author(s)
      Goo Ishikawa (G. Ishikawa)
    • Journal Title

      Sugaku

      Volume: 64 Pages: 75-96

    • NAID

      10030740955

    • Data Source
      KAKENHI-PROJECT-22244004
  • [Journal Article] Singularities of tangent varieties to curves and surfaces2012

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Journal of singularities

      Volume: 6 Pages: 54-83

    • DOI

      10.5427/jsing.2012.6f

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-22340030, KAKENHI-PROJECT-23654058
  • [Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2012

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: vol.159 Pages: 492-500

    • NAID

      120003898280

    • URL

      http://www.sciencedirect.com/science/journal/01668641/159/2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Journal Article] Classification problems on singularities of mappings and their applications2012

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Sugaku

      Volume: Volume64-1 Pages: 75-96

    • NAID

      10030740955

    • URL

      http://mathsoc.jp/publication/sugaku/

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Generic bifurcations of framed curves in aspace form and their envelopes2011

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Topology, its Applications

      Volume: (出版予定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2011

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: (未定,To appear)

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2011

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Topology and its Applications

      Volume: 出版予定

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011

    • Author(s)
      G. Ishikawa, Y. Machida, M. Takahashi
    • Journal Title

      Journal of Singularities

      Volume: vol.3 Pages: 126-143

    • URL

      http://www.journalofsing.org/volume3/index.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendrenull duality2011

    • Author(s)
      待田芳徳, 石川剛郎, 高橋雅朋
    • Journal Title

      Journal of Singularities

      Volume: 3 Pages: 126-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540109
  • [Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011

    • Author(s)
      待田芳徳、石川剛郎、高橋雅朋
    • Journal Title

      J. Singularities

      Volume: 3 Pages: 126-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540109
  • [Journal Article] Generic bifurcations of framed curves in a space form and their envelopes2011

    • Author(s)
      G.Ishikawa
    • Journal Title

      Topology and its Applications 99(To appear)

    • NAID

      120003898280

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011

    • Author(s)
      G.Ishikawa, Y.Machida, M.Takahashi
    • Journal Title

      Journal of Singularities

      Volume: 3 Pages: 126-143

    • DOI

      10.5427/jsing.2011.3h

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654058, KAKENHI-PROJECT-23740041
  • [Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011

    • Author(s)
      G. Ishikawa, Y. Machida, M. Takahashi
    • Journal Title

      Journal of Singularities

      Volume: vol.3 Pages: 126-143

    • URL

      http://www.journalofsing.org/volume3/index.html

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011

    • Author(s)
      G.Ishikawa, Y.Machida, M.Takahashi
    • Journal Title

      Journal of Singularities

      Volume: 3 Pages: 126-143

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Differential Geometry and its Application (To appear)

    • NAID

      120002208934

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Symplectic classification of parametric complex plane curves2010

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Annales Polonici Mathematici

      Volume: 99 Pages: 263-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Symplectic classification of parametric complex curves2010

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

      Ann. Polon. Math.

      Volume: 99 Pages: 263-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Symplectic classification of parametric complex plane curves2010

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

      Annales Polonici Mathematics (出版決定済)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Differential Geometry and its Applications

      Volume: 28-3 Pages: 341-354

    • NAID

      120002208934

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010

    • Author(s)
      G.Ishikawa
    • Journal Title

      Differential Geometry and its Application (出版決定済)

    • NAID

      120002208934

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Differential Geometry, its Applications

      Volume: 28-3 Pages: 341-354

    • NAID

      120002208934

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Journal Article] Symplectic classification of parametric complex plane curves2010

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

      Annales Polonici Mathematici

      Volume: 99-3 Pages: 263-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Journal Article] Singularities of flat extensions from generic surfaces with boundaries2010

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Differential Geometry and its Applications

      Volume: 28 Pages: 341-354

    • NAID

      120002208934

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Symplectic classification of parametric complex plane curves2010

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

      Annales Polonici Mathematici

      Volume: 99-3 Pages: 263-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Journal Article] Symplectic classification of parametric complex plane curves2010

    • Author(s)
      G.Ishikawa
    • Journal Title

      Annales Polonici Mathematici 99-3

      Pages: 263-284

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Global Classification of Curves on the Symplectic Plane2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Contemporary Mathematics 459

      Pages: 51-72

    • NAID

      120006459528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Global classification of curves on the symplectic plane, Proceedings of the IX Workshop on Real and Complex Singularities2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Sao Carlos, 2006, Contemp.Math. 459, Amer. Math. Soc.

      Pages: 51-72

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G.Ishikawa, S. Izumiya and W.-Z. Sun
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Bifurcations in symplectic space2008

    • Author(s)
      G.Ishikawa
    • Journal Title

      Banach Center Publ. 82

      Pages: 111-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G. Ishikawa, S. Izumiya, W.-Z. Sun
    • Journal Title

      Japanese Journal of Math. ematics vol.3-1

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G. Ishikawa, S. Izumiya, W. Z. Sun
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Genenc suigularifies of implicit systams of first order differenfial eguafions on the plane2008

    • Author(s)
      AA, Davyopov, G, Ishikawa, S, Izumiya, W-Z, Sum
    • Journal Title

      Japanese Jaurnal of Mathemaitic 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Journal Article] Bifurcations in symplectic space2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Banach Center Publ. 82

      Pages: 111-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Global classification of curves on the symplectic plane, Contem-porary Mathematics2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Amer. Math. Soc 459

      Pages: 51-72

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540082
  • [Journal Article] Global classification of clerves on the synylecfic Plalle2008

    • Author(s)
      Goo ISHIKAWA
    • Journal Title

      Contemporary Mathernatics 459

      Pages: 51-72

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Japanese J. Math. 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      G.Ishikawa
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Bifurcations in symplectic space2008

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

      Banach Center Publ vol. 82

      Pages: 111-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Biflurcafions in srmpkcticspace2008

    • Author(s)
      G, Ishikawa、S、Janeczko
    • Journal Title

      Banach center Publications 82

      Pages: 111-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Journal Article] Global classification of curves on the symplectic plane2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Proc. IX Workshop on Real and Complex Singularities (Sao Carlos, 2006) Contemporary Mathematics, AMS (to appear)

    • NAID

      120006459528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Global classification of curves on the symplectic plane2008

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Contemp. Math. 459

      Pages: 51-72

    • NAID

      120006459528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340002
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A. A. Davydov, G.Ishikawa, S. Izumiya, W. -Z. Sun
    • Journal Title

      Japanese Journal of Mathematics Vol. 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Global classification of curves on the symplectic plane2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Contemporary Mathematics, Amer. Math. Soc. (To appear)

    • NAID

      120006459528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Bifurcations in symplectic space2008

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

      Banach Center Publ vol.82

      Pages: 111-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Generic singularities of implicit systems of first order differentialequations on the plane2008

    • Author(s)
      A. A. Davydov, G. Ishikawa, S. Izumiya and W.-Z. Sun
    • Journal Title

      Jpn. J. Math. 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Global classification ofcurves on the symplectic plane, Real andcomplex singularities2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Contemp. Math. 459

      Pages: 51-72

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Generic singularities of implicit systems of first order differential equations on the plane2008

    • Author(s)
      A.A.Davydov, G. Ishikawa, S.Izumiya, W.Z. Sun
    • Journal Title

      Japanese Journal of Mathematics 3

      Pages: 93-119

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340012
  • [Journal Article] Zariski's moduli problem for plane branches and the classification of Legendre curve singularities2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Proceedings of the Australian-Japanese Workshop(Univ. Sydney, Australia 5-8 Sep. 2005).World Scientific

      Pages: 56-84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Global classification of curves on the symplectic plane2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Proc. IX Workshop on Real and Complex Singuralities

      Pages: 51-72

    • NAID

      120006459528

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Global classification of curves on the sympkctic plane2008

    • Author(s)
      G. Ishikawa
    • Journal Title

      Contemporary Mathematics (出版確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Journal Article] Janeczko, Bifurcations in symplectic spac2008

    • Author(s)
      G. Ishikawa, S. Janeczk
    • Journal Title

      Banach Center Publ. vol.82

      Pages: 111-124

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540082
  • [Journal Article] Classification of phase singularities for complex scalar waves and their bifurcations2007

    • Author(s)
      G.Ishikawa
    • Journal Title

      Nonlinearity 20

      Pages: 1907-1925

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Classification of phase singularities for complex scalar waves and their bifurcations2007

    • Author(s)
      G. Ishikawa
    • Journal Title

      Nonlinearity 20

      Pages: 1907-1925

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Classification of phase singularities for complex scalar waves and their bifurcations2007

    • Author(s)
      G. Ishikawa, J. Adachi
    • Journal Title

      Nonlinearity 20

      Pages: 1907-1925

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Calssification of phase smgulanties for conplex scalar waves and their bfuraitions2007

    • Author(s)
      J. Adachi, G. Ishikawa
    • Journal Title

      Nonlineanity 20

      Pages: 1907-1925

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Journal Article] Zariski's moduli problem for plane branches and the classification of Legendre curve singularities in Real and Complex Singularities2007

    • Author(s)
      G. Ishikawa
    • Journal Title

      Proceedings of the Australian-Japanese Workshop

      Pages: 56-84

    • Data Source
      KAKENHI-PROJECT-19204006
  • [Journal Article] Zariski's moduli problem for plane branches and classification of Legeudro curve Smgularities2007

    • Author(s)
      G. Ishikawa
    • Journal Title

      Proceedings of Japan and Australia Rea land Complex Smgularities

      Pages: 56-84

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Journal Article] Extra singularities of geometric solutions to Monge-Ampere equations of three variables2006

    • Author(s)
      石川剛郎
    • Journal Title

      数理解析研究所講究録 1502

      Pages: 41-53

    • Data Source
      KAKENHI-PROJECT-18540105
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      G.Ishikawa
    • Journal Title

      Internat. Jour. Math. 17・3

      Pages: 269-293

    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      待田芳徳、石川剛郎
    • Journal Title

      International J. Math 17

      Pages: 269-293

    • NAID

      120000959178

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540105
  • [Journal Article] Singularities of improving affine spheres and surfaces of constant Gaussign curvature2006

    • Author(s)
      G, Ishikawa
    • Journal Title

      International Journal of Mathematics (印刷中)

      Pages: 2006-2006

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Singularities of improper offine spheres and surfaces of Constant Gaussian curvature2006

    • Author(s)
      石川 剛郎
    • Journal Title

      International J. Math. 17・3

      Pages: 1-25

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14540097
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      Go-o Ishikawa
    • Journal Title

      International J.Math. 17-3

      Pages: 1-25

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14540097
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      G. Ishikawa, Y. Machida
    • Journal Title

      International Journal of Mathematics Vol. 17-3

      Pages: 269-293

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Extra singularities of geometric solutions to Monge-Ampere equations2006

    • Author(s)
      待田芳徳、石川剛郎
    • Journal Title

      数理研講究録 1502

      Pages: 41-53

    • Data Source
      KAKENHI-PROJECT-18540105
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      待田芳徳、石川剛郎
    • Journal Title

      International J. Math. 17

      Pages: 269-293

    • NAID

      120000959178

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540105
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      G.Ishikawa
    • Journal Title

      International Journal of Mathematics (To appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      G.Ishikawa
    • Journal Title

      International Journal of Mathematics (印刷中)

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      石川剛郎
    • Journal Title

      International J.Math. 17・3

      Pages: 1-25

    • Data Source
      KAKENHI-PROJECT-14540097
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      Go-O Ishikawa, et al.
    • Journal Title

      International Journal of Mathematics 17

      Pages: 269-293

    • Data Source
      KAKENHI-PROJECT-18340014
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature2006

    • Author(s)
      Ishikawa, Goo
    • Journal Title

      International J. of Math. 17

      Pages: 269-293

    • Data Source
      KAKENHI-PROJECT-18340013
  • [Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005

    • Author(s)
      Go-o Ishikawa
    • Journal Title

      Asian Journal of Mathematics 9

      Pages: 133-166

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005

    • Author(s)
      G.Ishikawa
    • Journal Title

      Asian Journal of Mathematics 9・1

      Pages: 133-166

    • Data Source
      KAKENHI-PROJECT-17340013
  • [Journal Article] Infinitestimal deformations and stability of singular Legendian submanifolds2005

    • Author(s)
      Goo Ishikawa
    • Journal Title

      Asian Journal of Mathematics 9・1

      Pages: 133-166

    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005

    • Author(s)
      G.Ishikawa
    • Journal Title

      Asian Journal of Mathematics 9-1

      Pages: 133-166

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005

    • Author(s)
      G.Ishikawa
    • Journal Title

      Asian Journal of Mathematics 9-1

      Pages: 113-166

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Infinitesimal deformations and stability of singular Legendre submanifolds2005

    • Author(s)
      G.Ishikawa
    • Journal Title

      Asian Journal of Mathematics Vol.9

      Pages: 133-166

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Infinitesimal determinants-and stability of singular Legendre submanifolds2005

    • Author(s)
      G, Ishikawa
    • Journal Title

      Asian Journal of Mathematics 9

      Pages: 133-166

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Classifying singular Legendre curves by contactomorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      J.Geom.Phys. 52

      Pages: 113-126

    • Data Source
      KAKENHI-PROJECT-15340016
  • [Journal Article] Classifying singular Legendre curves by contactomorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Journal of Geometry and Physics Vol.52--2

      Pages: 113-126

    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Classifying singular Legendre curves by contactomorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      J.Geom.Phys. 52

      Pages: 113-126

    • Data Source
      KAKENHI-PROJECT-14654010
  • [Journal Article] Symplectic singularities of isofropic mappings2004

    • Author(s)
      G, Ishikawa
    • Journal Title

      Banach Center Publications 65

      Pages: 85-106

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Perturbations of caustics and fronts2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Barach Center Publ. 62

      Pages: 101-116

    • Data Source
      KAKENHI-PROJECT-15340016
  • [Journal Article] Classifying singular Legendre canes by contact wire phisms2004

    • Author(s)
      G, Ishikawa
    • Journal Title

      Journal of Geometry and Physics 52

      Pages: 113-126

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Classifying singular Legendre curves by contactomorphisms.2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Journal of Geometry and Physics. Vol.52

      Pages: 113-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Classifying singular Legendre curves by contactmorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Journal of Geometry and Physics 52・2

      Pages: 113-126

    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Symplectic singularities of isotropic mappings2004

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

      Banach Center Publications 65

      Pages: 85-106

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Perturbations of Caustics and Front2004

    • Author(s)
      G, Ishikawa
    • Journal Title

      Banach Center Publications 62

      Pages: 101-116

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Classifying singular Legendrian curves by contactmorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      J.of Geometry and Physics 52

      Pages: 113-126

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Symplectic singularities of isotropic mappings2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Banach Center Publication 65

      Pages: 85-106

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Classifying singular Legendre curves by contactomorphisms2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Journal of Geometry and Physics 52

      Pages: 113-126

    • Data Source
      KAKENHI-PROJECT-14340019
  • [Journal Article] Classifying singular Legendre curves by contactmorphism2004

    • Author(s)
      G.Ishikawa
    • Journal Title

      Journal of Geometry and Physics 52

      Pages: 113-126

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15204002
  • [Journal Article] Symplectic bifurcations of plane curves and isotropic liftings2003

    • Author(s)
      G.Ishikawa
    • Journal Title

      Quarterly Journal of Mathematics Vol.54

      Pages: 73-102

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Symplectic bifurcations of plane curves and isofropic liftings2003

    • Author(s)
      G, Ishikawa
    • Journal Title

      Quarterly Journal of Mathematics 54

      Pages: 73-102

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Infinitesmal deformations and stability of singular Legendre Submanifolds

    • Author(s)
      G.Ishikawa
    • Journal Title

      Asian Journal of Mathematics (発表予定)

    • Data Source
      KAKENHI-PROJECT-14340020
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature

    • Author(s)
      G.Ishikawa, Y.Machida
    • Journal Title

      International Journal of Mathematics (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature

    • Author(s)
      G.Ishikawa, Y.Machida
    • Journal Title

      International Journal of Mathematics (to appear)

    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Singularities of improper affine spheres and surfaces of constant Gaussian curvature

    • Author(s)
      G.Ishikawa, y.Machida
    • Journal Title

      International Journal of Mathematics (to appear)

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540065
  • [Journal Article] Duality of singular paths for (2, 3, 5)-distributions

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

      Journal of Dynamical and Control Systems

      Volume: (掲載確定)

    • DOI

      10.1007/s10883-014-9216-9

    • NAID

      120005732977

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340030, KAKENHI-PROJECT-23654058
  • [Journal Article] Singularities of flat exten sions from generic surfaces with boun-daries

    • Author(s)
      G. Ishikawa
    • Journal Title

      Differential Geometry and its Application (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540082
  • [Presentation] Topology of complements to real affine space line arrangements.2019

    • Author(s)
      Goo Ishikawa, Motoki Oyama
    • Organizer
      Spring Central and Western Joint Sectional Meeting, American Mathematical Society.
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Several problems on singularities of implicit differential equations and related topics2019

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularity Theory and its Applications in Differential Equations and Differential Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] A remark on the geometric theory of third order ordinary differential equations2019

    • Author(s)
      Goo Ishikawa
    • Organizer
      Muroran Workshop 20
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] On Normal and Tangential Maps to Frontals2019

    • Author(s)
      Goo Ishikawa
    • Organizer
      6th International Workshop on Singularities in Generic Geometry and its Applications
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03458
  • [Presentation] Topics on frontal singularities2018

    • Author(s)
      Goo Ishikawa
    • Organizer
      15th International Workshop on Real and Complex Singularities, Sao Carlos, Brazil, 22 - 28 July 2018.
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Cofrontals2018

    • Author(s)
      Goo Ishikawa
    • Organizer
      Research on topology and differential geometry using singularity theory of differentiable maps
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Leibniz complexity of Nash functions on differentiations2018

    • Author(s)
      Goo Ishikawa
    • Organizer
      Real Algebraic Geometry and Singularity Theory Symposium
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Duality of (2,3,5)-distributions and Lagrangian cone structures2018

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities, Differential equations and Related Area
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] Duality of (2,3,5)-distributions and Lagrangian cone structures2018

    • Author(s)
      Goo Ishikawa
    • Organizer
      Contact structure, Singularities, Differential equations and related area
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Duality-singularity of indefinite metrics and contact structures2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities in Generic Geometry and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Stability of parametric Lagrangian and Legendrian varieties,2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      International Conference on Singularity Theory and Dynamical Systems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] Duality-singularity of indefinite metrics and contact structures2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      24th Numazu conference,
    • Place of Presentation
      沼津高専(静岡県・沼津市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] Duality-singularity of indefinite metrics and contact structures2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      24th Numazu conference
    • Place of Presentation
      沼津高専(静岡県・沼津市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Stability of parametric Lagrangian and Legendrian varieties2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      International Conference on Singularity Theory and Dynamical Systems
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Duality-singularity of indefinite metrics and contact structures2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      Contact structure, Singularities, Differential equations and related area
    • Place of Presentation
      金沢大学サテライト(石川県・金沢市)
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] Duality-singularity of indefinite metrics and contact structures2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities in Generic Geometry and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] Duality-singularity of indefinite metrics and contact structures2017

    • Author(s)
      Goo Ishikawa
    • Organizer
      Contact structure, Singularities, Differential equations and related area
    • Place of Presentation
      金沢大学サテライト(石川県・金沢市)
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] 特異点論の地図2016

    • Author(s)
      石川剛郎
    • Organizer
      Encounter with Mathematics
    • Place of Presentation
      中央大学理工学部(東京都・文京区)
    • Year and Date
      2016-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Nash 関数の微分に関する Leibniz 複雑性2016

    • Author(s)
      石川剛郎,山下達也
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-16
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] 特異点論の地図2016

    • Author(s)
      石川剛郎
    • Organizer
      Encounter with Mathmatics
    • Place of Presentation
      中央大学理工学部(東京都・文京区)
    • Year and Date
      2016-03-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] アフィン接続と空間曲線の接線曲面の特異点2016

    • Author(s)
      石川剛郎,山下達也
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] ニュートラル計量,ローリング・ボディ,そしてケプラー問題2016

    • Author(s)
      石川剛郎
    • Organizer
      第23回沼津研究会
    • Place of Presentation
      沼津工業高等専門学校(静岡県・沼津市)
    • Year and Date
      2016-03-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Null frontal singular surfaces in Lorentzian 3-spaces2016

    • Author(s)
      Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
    • Organizer
      VIII International Meeting on Lorentzian Geometry
    • Place of Presentation
      マラガ(スペイン)
    • Year and Date
      2016-09-20
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] ニュートラル計量,ローリング・ボディ,そしてケプラー問題2016

    • Author(s)
      石川剛郎
    • Organizer
      第23回沼津研究会
    • Place of Presentation
      沼津工業高等専門学校(静岡県・沼津市)
    • Year and Date
      2016-03-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] アフィン接続と空間曲線の接線曲面の特異点2016

    • Author(s)
      石川剛郎,山下達也
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Nash 関数の微分に関する Leibniz 複雑性2016

    • Author(s)
      石川剛郎,山下達也
    • Organizer
      日本数学会2016年度年会
    • Place of Presentation
      筑波大学(茨城県・つくば市)
    • Year and Date
      2016-03-16
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Null frontal singular surfaces in Lorentzian 3-spaces2016

    • Author(s)
      Goo Ishikawa
    • Organizer
      VIII International Meeting on Lorentzian Geometry
    • Place of Presentation
      マラガ(スペイン)
    • Year and Date
      2016-09-20
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Leibniz complexity of Nash functions on differentiations2015

    • Author(s)
      Goo Ishikawa
    • Organizer
      Geometric Singularity Theory, Polish-Japanese Singularity Theory Working days
    • Place of Presentation
      Warsaw (Poland)
    • Year and Date
      2015-09-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] Leibniz complexity of Nash functions on differentiations2015

    • Author(s)
      Goo Ishikawa
    • Organizer
      Geometric Singularity Theory, Polish-Japanese Singularity Theory Working Days
    • Place of Presentation
      Warsaw (Poland)
    • Year and Date
      2015-09-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15H03615
  • [Presentation] Leibniz complexity of Nash functions on differentiations2015

    • Author(s)
      Goo Ishikawa
    • Organizer
      Geometric Singularity Theory, Polish-Japanese Singularity Theory Working Days
    • Place of Presentation
      Warsaw (Poland)
    • Year and Date
      2015-09-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K13431
  • [Presentation] Affine connections and singularities of tangent surfaces to space curves2014

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularity theory of differential maps and its applications
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2014-12-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-26287009
  • [Presentation] The D4-triality and singularities of tangent surfaces2013

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities in geometry and applications III
    • Place of Presentation
      The International Centre for Mathematical Sciences (ICMS), Edinburgh, Scotland, UK.
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] 幾何学的制御理論から観たCartan 分布の特異パス双対性2013

    • Author(s)
      石川 剛郎
    • Organizer
      日本数学会
    • Place of Presentation
      愛媛大学( 松山市)
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] The D4-triality and singularities of tangent surfaces2013

    • Author(s)
      G. Ishikawa
    • Organizer
      Singularities in geometry and applications III
    • Place of Presentation
      ICMS, Edinburgh, Scotland, UK.
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singular path duality for Cartan distributions from geometric control theory2013

    • Author(s)
      Goo Ishikawa
    • Organizer
      Geometric Singularity Theory, 8th Polish-Japanese Singularity Theory Working Days
    • Place of Presentation
      The Banach Center, IMPAN, Warsaw, Poland
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singular path duality for Cartan distributions from geometric control theory (in Japanese)2013

    • Author(s)
      Goo Ishikawa, Yumiko Kitagawa, Wataru Yukuno
    • Organizer
      Autumn Meeting 2013 of Mathematical Society of Japan
    • Place of Presentation
      Ehime University, Ehime Japan
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] 幾何学的制御理論から観たCartan 分布の特異パス双対性2013

    • Author(s)
      石川剛郎
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学(松山市), 日本
    • Year and Date
      2013-09-24
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Presentation] 幾何学的制御理論から観たCartan 分布の特異パス双対性2013

    • Author(s)
      石川剛郎
    • Organizer
      日本数学会
    • Place of Presentation
      愛媛大学( 松山市)
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Presentation] Singularities of Tangent Surfaces in Cartan’s Split G2-geometry2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      The V-th International Conference of Differential Geometry and Dynamical Systems
    • Place of Presentation
      Callatis High-School, Mangalia (Romania)
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Presentation] Singularities of Tangent Surfaces in Cartan's Split G2-geometry2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      The V-th International Conference of Differential Geometry and Dynamical Systems
    • Place of Presentation
      Callatis High-School, Mangalia (Romania)
    • Year and Date
      2012-08-30
    • Invited
    • Data Source
      KAKENHI-PROJECT-23654058
  • [Presentation] Openings of stable unfoldings2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      AMS Sectional Meeting, Special Session on Singularities, Stratifications and Their Applications
    • Place of Presentation
      University of Hawaii at Manoa, Honolulu, HI, USA.
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Shyuichi Izumiya’s mathematical works2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      The 12th International Workshop on Real and Complex Singularities
    • Place of Presentation
      Sao Carlos, Brazil
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Tangent varieties and openings of map-germs2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      An international workshop in Singularity Theory, its Applications and Future Prospects celebrating jubilees of Bill Bruce and Terry Wall
    • Place of Presentation
      The University of Liverpool, UK
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of Tangent Surfaces in Cartan's Split G2-geometry2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      The V-th International Conference of Differential Geometry and Dynamical Systems (DGDS-2012)
    • Place of Presentation
      Mangalia, Romania
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Tangent varieties and openings of map-germs2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      An international workshop in Singularity Theory, its Applications and Future Prospects
    • Place of Presentation
      Liverpool, UK
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Singularities of Tangent Surfaces in Cartan’s Split G2-geometry2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      The V-th International Conference of Differential Geometry and Dynamical Systems
    • Place of Presentation
      Mangalia, Romania
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Tangent varieties and openings of map-germs2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      An international workshop in Singularity Theory, its Applications and Future Prospects celebrating jubilees of Bill Bruce and Terry Wall
    • Place of Presentation
      Liverpool, UK
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Openings of stable unfoldings2012

    • Author(s)
      G.Ishikawa
    • Organizer
      AMS Sectional Meeting, Special Session on Singularities, Stratifications and Their Applications
    • Place of Presentation
      ハワイ大学マノア校(アメリカ)
    • Year and Date
      2012-03-03
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of tangent surfaces in G2-geometric structures2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities and Geometric Structures
    • Place of Presentation
      Lifelong Learning Center of Nagano City, Nagano, Japan
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of tangent surfaces in G2-geometric structures2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities and Geometric Structures
    • Place of Presentation
      Lifelong Learning Center of Nagano City, Nagano, Japan.
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of tangent surfaces in G2-geometric structures2012

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularities and Geometric Structures
    • Place of Presentation
      長野市生涯学習センター(長野県)
    • Invited
    • Data Source
      KAKENHI-PROJECT-22244004
  • [Presentation] Openings of stable unfoldings2011

    • Author(s)
      Goo Ishikawa
    • Organizer
      The 4th Japanese-Australian Workshop on Real and Complex Singularities
    • Place of Presentation
      Kobe Satellite of Hyogo University of Teacher Education, Kobe, Japan.
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Openings of stable unfoldings2011

    • Author(s)
      Goo Ishikawa
    • Organizer
      RIMS workshop, Singularity theory, geometry and topology
    • Place of Presentation
      Kyoto, Japan
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of Tangent Varieties and Differential Systems2011

    • Author(s)
      Goo Ishikawa
    • Organizer
      Singularity Theory and its Applications
    • Place of Presentation
      Academic Hall, Oita National College of Technology, Oita, Japan.
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of Tangent Varieties to Curves and Surfaces2011

    • Author(s)
      Goo Ishikawa
    • Organizer
      Workshop on Singularities in Geometry and Applications
    • Place of Presentation
      Stefan Banach International Mathematical Center, Bedlewo, Poland
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Singularities of Framed Curves, Differential Systems, Projective Duality.2010

    • Author(s)
      Goo Ishikawa
    • Organizer
      11th International Workshop on Real, Complex Singularities
    • Place of Presentation
      サンパウロ大学サンカルロス校(ブラジル、サンカルロス) 招待講演
    • Year and Date
      2010-07-28
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Basic topics on tropical geometry and singularities.2010

    • Author(s)
      Goo Ishikawa
    • Organizer
      Geometry on Real Closed Field and its Application to Singularity Theory
    • Place of Presentation
      京都大学数理解析研究所 招待講演
    • Year and Date
      2010-11-30
    • Data Source
      KAKENHI-PROJECT-22340030
  • [Presentation] Generic bifurcations of framed curves in a space form and their envelopes2010

    • Author(s)
      G.Ishikawa
    • Organizer
      Conatact structures, singularities, differential equations
    • Place of Presentation
      洞爺湖文化センター,洞爺湖町,北海道
    • Year and Date
      2010-01-27
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Introduction to Tropical Geometry2010

    • Author(s)
      G.Ishikawa
    • Organizer
      Kobe Workshop on Singularities
    • Place of Presentation
      神戸サテライト,兵庫教育大学,兵庫
    • Year and Date
      2010-01-20
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Symplectic Invariants of Parametric Singularities2009

    • Author(s)
      G.Ishikawa
    • Organizer
      Real and Complex Singularities
    • Place of Presentation
      シドニー大学、オーストラリア
    • Year and Date
      2009-09-16
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Geometry of surfaces with boundaries from singularity viewpoint2009

    • Author(s)
      G.Ishikawa
    • Organizer
      School on Generic Singularities in Geometry
    • Place of Presentation
      バナッハセンター,ワルシャワ,ポーランド
    • Year and Date
      2009-07-10
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Singularity problems in sub-Riemannian and sub-Finsler2009

    • Author(s)
      G.Ishikawa
    • Organizer
      The 44-th Symposium on Finsler Geometry
    • Place of Presentation
      東海大学札幌キャンパス,札幌,北海道
    • Year and Date
      2009-09-09
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Symplectic Invariants of Parametric Singularities Geometric Singularity Theory2009

    • Author(s)
      G.Ishikawa
    • Organizer
      7th Polish-Japanese Singularity Theory Working Days
    • Place of Presentation
      カジミエッシュ・ドルニ,ポーランド
    • Year and Date
      2009-07-14
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Generic geometry and singularities of curves on surfaces2009

    • Author(s)
      G.Ishikawa
    • Organizer
      Durham Geometric Seminar
    • Place of Presentation
      ダーラム大学,ダーラム,イギリス
    • Year and Date
      2009-10-22
    • Data Source
      KAKENHI-PROJECT-21654008
  • [Presentation] Classification of parametric varieties in the symplectic space:Motivations, Examples and Problems2008

    • Author(s)
      G. Ishikawa
    • Organizer
      10th International Workshop on Real and Compex Singularities
    • Place of Presentation
      Sao Carlos, Brazil
    • Year and Date
      2008-07-31
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] Local symplectic invariants of parametric Lagrangian varieties2008

    • Author(s)
      G. Ishikawa
    • Organizer
      Frobenius structures and singularity theory
    • Place of Presentation
      Bedlewo, Poland
    • Year and Date
      2008-08-26
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] focalsymplecfic mvariants of parametric Lagrangian narieties2008

    • Author(s)
      Goo ISHIKAWA
    • Organizer
      Frobenius struefures and saigalanty thery
    • Place of Presentation
      ポランド・ベドレボ
    • Year and Date
      2008-08-26
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Presentation] Calssification problem in symplectic singularity theory2007

    • Author(s)
      G. Ishikawa
    • Organizer
      Banach Center Symposium "Geometric SingularityTheory" Polish-Japanese Working Days
    • Place of Presentation
      Sopot, Poland
    • Year and Date
      2007-07-09
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] Calssification problem in symplectic singularity theory2007

    • Author(s)
      G. Ishikawa
    • Organizer
      Banach Center Symposium "Geometric Singularity Theory" Polish-Japanese Working Days,
    • Place of Presentation
      Sopot, Poland.
    • Year and Date
      2007-07-09
    • Data Source
      KAKENHI-PROJECT-17340013
  • [Presentation] Local classification of varieties in the symplectic space2007

    • Author(s)
      G. Ishikawa
    • Organizer
      The second Japanese-Australian Workshop on Real and Complex Smgularities
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-26
    • Data Source
      KAKENHI-PROJECT-19654006
  • [Presentation] Local classification of parametric Lagrangian varieties2007

    • Author(s)
      G. Ishikawa
    • Organizer
      Internation Conference "Symplectic Geometry"
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-07-27
    • Data Source
      KAKENHI-PROJECT-17340013
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  • 40.  TAMARU Hiroshi (50306982)
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  • 164.  佐藤 瑛子
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  • 165.  Janeczko Stanislaw
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