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Isobe Takeshi  磯部 健志

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… Alternative Names

ISOBE Takeshi  磯部 健志

ISOBE Takushi  磯部 健志

磯部 健志  イソベ ケンジ

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Researcher Number 10262255
Other IDs
External Links
Affiliation (Current) 2025: 一橋大学, 大学院経済学研究科, 教授
Affiliation (based on the past Project Information) *help 2025: 一橋大学, 大学院経済学研究科, 教授
2017 – 2023: 一橋大学, 大学院経済学研究科, 教授
2016: 東京工業大学, 理学院, 准教授
2015: 東京工業大学, 大学院理工学研究科(理学系), 准教授
2012 – 2014: 東京工業大学, 理工学研究科, 准教授 … More
2007 – 2011: Tokyo Institute of Technology, 大学院・理工学研究科, 准教授
2006: 東京工業大学, 大学院理工学研究科, 助教授
2003 – 2005: 東京工業大学, 大学院・理工学研究科, 助手
1998 – 2000: 東京工業大学, 大学院・理工学研究科, 助手
1996: 東京工業大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Global analysis
Except Principal Investigator
Basic Section 12020:Mathematical analysis-related / Global analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
モース理論 / 変分問題 / 臨界点理論 / ディラック方程式 / ディラック・測地線 / ディラック・調和写像 / モースホモロジー / モース・フレアーホモロジー / ソボレフバンドル / コンパクト性 … More / 特異点 / ソボレフ空間 / 幾何学的変分問題 / 調和写像 / ディラック-調和写像 / モース・ボット理論 / スピン山辺方程式 / フレアーホモロジー / ルレイ・セールスペクトル系列 / モース・フレアー理論 / 非コンパクトな変分問題 / 指数無限大 / 共形はめ込み / デッラック方程式 / モース-フレアーホモロジー / ディラック作用素 / 山辺問題 / 超対称性シグマモデル / 変分法 / Yang-Mills汎関数 / 正則性 / 臨界次元 / ヤンーミルズ方程 / 安定性 / Faddeev-Skyrme mode1 / トポロジー / ヤンーミルズーディラック方程式 / ヤンーミルズ方程式 / エネルギー量子化 / Yang-Mills-Dirac方程式 / Faddeev-Skyrme模型 / ヤンーミルズ汎関数 / ソボレフ写像 / H-system / 多重解 / 平均曲率一定曲面 / 障害理論 / 非コンパクト / Palais-Smale列 / Landau-Lifshitz方程式 / 平均曲率方程式 … More
Except Principal Investigator
ラプラシアンの固有関数 / 不変等熱流面 / p-ラプラシアンの固有値 / 熱弾性体の方程式系 / 不変等温面 / 非線形シュレディンガー方程式 / ノイマン固有値 / ディラック・調和写像 / 数理物理 / 実関数論 / 幾何解析 / 関数方程式論 / 非線形対数型拡散方程式 / 熱方程式 / ディラック-調和写像 / 二相熱伝導体 / 安定解 / ヘルムホルツ方程式 / 固有値 / 拡散方程式 / 囲い込み法 / 複合媒質 / 逆問題 / 幾何学 / 偏微分方程式 / Painleve equation / spin / Grassmann variables / disordered system / matrix integral / Random Matrix Theory / Feynman's problem / Superanalysis / Weyl方程式 / Dirac方程式 / 量子化 / スーパー空間 / ワイル方程式 / 超対称性 / 偏微分方程式系 / 非可換代数 / パンルべ方程式 / 血秩序系 / パンルベ方程式 / スピン / グラスマン変数 / 無秩序系 / 行列積分 / ランダム行列理論 / ファインマン問題 / スーパー解析 / 熱力学形式 / エルゴード理論 / 写像類群 / 閉測地線 Less
  • Research Projects

    (10 results)
  • Research Products

    (46 results)
  • Co-Researchers

    (13 People)
  •  多様体上のディラック型方程式に対する大域解析学の展開Principal Investigator

    • Principal Investigator
      磯部 健志
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hitotsubashi University
  •  Geometric analysis and Morse theory for Dirac type equationsPrincipal Investigator

    • Principal Investigator
      磯部 健志
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hitotsubashi University
  •  Geometry of partial differential equations and inverse problems

    • Principal Investigator
      SAKAGUCHI Shigeru
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Tohoku University
  •  Morse-Floer theory for nonlinear Dirac equationsPrincipal Investigator

    • Principal Investigator
      Isobe Takeshi
    • Project Period (FY)
      2015 – 2019
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Hitotsubashi University
      Tokyo Institute of Technology
  •  On a variational study of nonlinear Dirac equations on compact spin manifoldsPrincipal Investigator

    • Principal Investigator
      ISOBE Takeshi
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
  •  A study of higher dimensional geometric variational problemsPrincipal Investigator

    • Principal Investigator
      ISOBE Takeshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
  •  H-systemと、関連する変分問題の解の多重性についてPrincipal Investigator

    • Principal Investigator
      磯部 健志
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
  •  変分問題の大域的研究Principal Investigator

    • Principal Investigator
      磯部 健志
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
  •  System of partial differential equations and non-commutative analysis

    • Principal Investigator
      INOUE Atsushi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Tokyo Institute of Technology
  •  古典力学系および群作用のエルゴード理論的研究

    • Principal Investigator
      MORITA Takehiko
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo Institute of Technology

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

All Journal Article Presentation

  • [Journal Article] Morse homology for perturbed Dirac-harmonic maps into flat tori2024

    • Author(s)
      Isobe Takeshi
    • Journal Title

      Journal of Topology and Analysis

      Volume: - Pages: 1-83

    • DOI

      10.1142/s1793525324500031

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03674
  • [Journal Article] Solutions of spinorial Yamabe-type problems on S^m: Perturbations and applications2023

    • Author(s)
      Isobe Takeshi, Xu Tian
    • Journal Title

      Transactions of American Mathematical Society

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18H01126
  • [Journal Article] Solutions of spinorial Yamabe-type problems on S^{m}: Perturbations and applications2023

    • Author(s)
      Isobe Takeshi、Xu Tian
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 9 Pages: 6397-6446

    • DOI

      10.1090/tran/8961

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03674
  • [Journal Article] Morse-Floer theory for superquadratic Dirac-geodesics2022

    • Author(s)
      Isobe Takeshi、Maalaoui Ali
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 61 Issue: 6 Pages: 204-204

    • DOI

      10.1007/s00526-022-02305-5

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03674, KAKENHI-PROJECT-18H01126
  • [Journal Article] Asymptotically linear Dirac-harmonic maps into flat tori2021

    • Author(s)
      Isobe Takeshi
    • Journal Title

      Differential Geometry and its Applications

      Volume: 75 Pages: 101716-101716

    • DOI

      10.1016/j.difgeo.2020.101716

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20K03674, KAKENHI-PROJECT-18H01126
  • [Journal Article] Morse homology for asymptotically linear Dirac equations on compact manifolds2020

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Journal of Differential Equations

      Volume: - Issue: 6 Pages: 5062-5109

    • DOI

      10.1016/j.jde.2020.04.007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04947, KAKENHI-PROJECT-20K03674, KAKENHI-PROJECT-18H01126
  • [Journal Article] On the multiple existence of superquadratic Dirac-harmonic maps into flat tori2019

    • Author(s)
      Takeshi isobe
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 58 Issue: 4

    • DOI

      10.1007/s00526-019-1578-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04947, KAKENHI-PROJECT-18H01126
  • [Journal Article] Morse-Floer theory for superquadratic Dirac equations, II: construction and computation of Morse-Floer homology2017

    • Author(s)
      Isobe Takeshi
    • Journal Title

      Journal of fixed point theory and applications

      Volume: 19 Issue: 2 Pages: 1365-1425

    • DOI

      10.1007/s11784-016-0392-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04947
  • [Journal Article] Morse-Flier theory for super quadratic Dirac equations, I: relative Morse indices and compactness2016

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Journal of Fixed Point Theory and Applications

      Volume: - Issue: 2 Pages: 1315-1363

    • DOI

      10.1007/s11784-016-0391-z

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-15K04947
  • [Journal Article] Spinorial Yamabe type equations on S^3 via Conley Index2015

    • Author(s)
      Takeshi, Isobe
    • Journal Title

      Advanced Nonlinear Studies

      Volume: 15-1 Issue: 1 Pages: 39-60

    • DOI

      10.1515/ans-2015-0103

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-15K04947
  • [Journal Article] Sobolev bundles with abelian structure groups2014

    • Author(s)
      Isobe, Takeshi
    • Journal Title

      Calculus of variations and partial differential equations

      Volume: 49 Issue: 1-2 Pages: 77-102

    • DOI

      10.1007/s00526-012-0572-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] On superquadratic Dirac equations on compact manifolds2014

    • Author(s)
      Isobe, Takeshi
    • Journal Title

      数理解析研究所講究録

      Volume: 1896 Pages: 79-97

    • Open Access
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] A perturbation method for spinorial Yamabe type equations on S^ m and its application2013

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Mathematische Annalen

      Volume: 355 Issue: 4 Pages: 1255-1299

    • DOI

      10.1007/s00208-012-0818-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] On the existence of nonlinear Dirac geodesics on compact manifolds.2012

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Calc. Var.

      Volume: 43 Issue: 1-2 Pages: 83-121

    • DOI

      10.1007/s00526-011-0404-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. II2012

    • Author(s)
      Takeshi Isobe, Antonella Marini
    • Journal Title

      J. Math. Phys.

      Volume: 53 Issue: 6

    • DOI

      10.1063/1.4728215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. I2012

    • Author(s)
      Takeshi Isobe, Antonella Marini
    • Journal Title

      J. Math. Phys.

      Volume: 53 Issue: 6

    • DOI

      10.1063/1.4728211

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Nonlinear Dirac equations with critical nonlinearities on compact spin manifolds2011

    • Author(s)
      Takeshi Isobe
    • Journal Title

      J.Funct.Anal.

      Volume: 260 Issue: 1 Pages: 253-307

    • DOI

      10.1016/j.jfa.2010.09.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Existence results for solutions to nonlinear Dirac equations on compact spin manifolds2011

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Manuscripta Math

      Volume: 135 Issue: 3-4 Pages: 329-360

    • DOI

      10.1007/s00229-010-0417-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Regularity and energy quantization for the Yang-Mills-Dirac equations on 4-manifolds2010

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Differ.Geom.Appl.

      Volume: 28 Pages: 359-375

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Topological and analytical properties of Sobolev bundles, II : Higher dimensional cases.2010

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Rev.Mat.Iberoam.

      Volume: 26 Pages: 729-798

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Journal Article] Topological and analytical properties of Sobolev bundles, I : The critical case2009

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Ann.Globai Anal.Geom. 35

      Pages: 277-337

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Topological and analytical properties of Sobolev bundles2009

    • Author(s)
      Takeshi Isobe
    • Journal Title

      I : the critical case, Annals of Global Analysis and Geometry 35巻

      Pages: 277-337

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Topological and analytical properties of Sobolev bundles2009

    • Author(s)
      Takeshi Isobe
    • Journal Title

      The critical case. Ann. Global Anal. Geom. 35

      Pages: 277-337

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] A regularity result for a class of degenerate Yang-Mills connections in critical dimensions2008

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Forum Math 20巻

      Pages: 1109-1139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] A regularity result for a class of degenerate Yang-Mills connections in critical dimensions.2008

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Forum Math. 20

      Pages: 1109-1139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] On a minimizing property of the Hopf soliton in the Faddeev・Skyrme model2008

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Reviews in Mathematical Physics 20

      Pages: 765-786

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] A regularity result for a class of degenerate Yang-Mills connections in critical dimensions2008

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Forum Mathematicum 20

      Pages: 1109-1139

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] On a minimizing property of the Hopf soliton in the Faddeev-Skyrme model2008

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Rev. Math. Phys. 20巻

      Pages: 765-786

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] On a minimizing property of the Hopf soliton in the Faddeev-Skyrme model2008

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Rev. Math. Phy. 20

      Pages: 765-786

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Topology of Sobolev bundles2007

    • Author(s)
      磯部 健志
    • Journal Title

      数理解析研究所講究録 1528

      Pages: 104-116

    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Topology of Sobolev bundles2007

    • Author(s)
      Takeshi Isobe
    • Journal Title

      数理解析研究所講究録 1528巻

      Pages: 104-116

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Topology of Sobolev bundles2007

    • Author(s)
      磯部 健志
    • Journal Title

      京都大学数理解析研究所講究録 No.1528

      Pages: 104-116

    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Topology of Sobolev bundles2007

    • Author(s)
      Takeshi Isobe
    • Journal Title

      数理解析研究所講究録 1528

      Pages: 104-116

    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] On global singularities of Sobolev mappings2006

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Math. Z. 252巻

      Pages: 691-730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] On global singularities of Sobolev Mappings2006

    • Author(s)
      Takashi Isobe
    • Journal Title

      Mathematische Zeitschrift 252

      Pages: 691-730

    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] On global singularities of Sobolev mappings2006

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Math. Z. 252

      Pages: 691-730

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540206
  • [Journal Article] Obstruction theory for the Approximation and the Deformation Problems for Soboler Mappings2005

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Annals of Global Analysis and Geometry 27

      Pages: 299-332

    • Data Source
      KAKENHI-PROJECT-15740101
  • [Journal Article] Multiple Solutions of the Dirichlet Problem for H-systems with small H2004

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Communications in Contemporary Mathematics 6・4

      Pages: 579-600

    • Data Source
      KAKENHI-PROJECT-15740101
  • [Journal Article] Obstructions to the extension problem of Sobolev mappings2003

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Topological Methods in Nonlinear Analysis 21

      Pages: 345-368

    • Data Source
      KAKENHI-PROJECT-15740101
  • [Journal Article] Multiple Solutions of the Dirichlet Problem for H-systems2003

    • Author(s)
      磯部 健志
    • Journal Title

      数理解析研究所講究録 1347

      Pages: 55-72

    • Data Source
      KAKENHI-PROJECT-15740101
  • [Journal Article] On Global Singularities of Soboler Mappings

    • Author(s)
      Takeshi Isobe
    • Journal Title

      Mathematishe Zeitschrift (掲載決定)

    • Data Source
      KAKENHI-PROJECT-15740101
  • [Presentation] Perturbed Dirac-harmonic maps into flat tori: existence and multiplicity2019

    • Author(s)
      磯部健志
    • Organizer
      楕円型・放物型方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04947
  • [Presentation] Perturbed Dirac-harmonic maps into flat tori2019

    • Author(s)
      Takeshi Isobe
    • Organizer
      放物型・楕円型偏微分方程式研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18H01126
  • [Presentation] 非線形ディラック方程式に対するモース・フレアーホモロジー2017

    • Author(s)
      磯部 健志
    • Organizer
      微分方程式の総合的研究
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04947
  • [Presentation] On superquadratic Dirac equations on compact spin manofolds2013

    • Author(s)
      磯部 健志
    • Organizer
      偏微分方程式の解の幾何
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-22540222
  • [Presentation] Topology of Sobolev bundles2006

    • Author(s)
      磯部健志
    • Organizer
      変分問題とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-18540206
  • 1.  MORITA Takehiko (00192782)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  NOMURA Yuji (40282818)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  ITO Hidekazu (90159905)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  大鹿 健一 (70183225)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  INOUE Atsushi (40011613)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  MURATA Minoru (50087079)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  小澤 真 (00126020)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  SAKAGUCHI Shigeru (50215620)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  福泉 麗佳 (00374182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  川上 竜樹 (20546147)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  船野 敬 (40614144)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  池畠 優 (90202910)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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