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MIYAZAKI Takuya  宮崎 琢也

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宮崎 琢也  ミヤザキ タクヤ

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Researcher Number 10301409
Other IDs
External Links
Affiliation (Current) 2025: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help 2011: 慶應義塾大学, 理工学部, 准教授
2007 – 2009: Keio University, Faculty of Science and Technology, Associate Professor
2004 – 2006: 慶應義塾大学, 理工学部, 助教授
2000 – 2003: 慶應義塾大学, 理工学部, 講師
1999: Tokyo Metropolitan University, Department of Mathematics, Assistant Professor, 大学院・理学研究科, 助手
1998 – 1999: 東京都立大学, 理学研究科, 助手
Review Section/Research Field
Principal Investigator
Algebra / Algebra
Except Principal Investigator
Algebra / General mathematics (including Probability theory/Statistical mathematics) / Geometry / Algebra / Global analysis
Keywords
Principal Investigator
導来函手加群 / Rankin-Selberg / 退化主系列表現 / テータ対応 / 齋藤・黒川持ち上げ / アイゼンシュタイン級数 / 導来関手加群 / ジーゲル保型形式 / Mellin transform / confluent hypergeometric function … More / zonal polynomial / Eisenstein seeries / Degenerate principal series / Rankin-Selberg L函数 / Koecher-Maass級数 / Maassリフティング / 退化Whittaker模型 / 合流型超幾何函数 / Zuckerman導来函手加群 / 実解析的Eisenstein級数 / 実解析的Siegel保型形式 / 留数形式 / 半整数重さ / 正規化メリン変換 / 実解析的保型形式 / 斉藤・黒川保型形式 / Rankin-Selber / 一般型メリン変換 / Ge enbauer多項式 / メリン変換 / 合流型超幾何積分 / Zonal多項式 / Koecher効果 / Whittaker模型 / Eisenstein級数 / Siegel-Weil公式 / コホモロジー的表現 / Siegel保型形式 / Rallis内積公式 / テータリフティング / Lnaglands-Arthurパケット / 齋藤・黒川保型表現 / アーサー指標 / ケッヒャー効果 / 留数的保型形式 / フーリエ展開 / 波面集合 / べき零軌道 / ホイタッカー関数 / シンプレクティック群 … More
Except Principal Investigator
国際研究者交流 / 国際情報交換 / 楕円曲線 / 指数定理 / TNT / 連分数 / 非可換幾何学 / 岩澤主予想 / 岩澤理論 / 整数論 / ポアソン幾何学 / 量子化問題 / 超弦理論 / 変形量子化 / supersingular reduction / Tate-Shafarevich group / elliptic curve / Iwasawa theory / スーパーシンギュラーリダクション / ティトーシャファレビッチ群 / 岩澤不変量 / テイトーシャファレビッチ群 / スーパーシンギュラー還元 / テイトシャファレビッチ群 / arithemtic fundamental group / Grothendieck-Teichmuller group / mapping class group / exterior Galois representation / anabelian geometry / Galois representation / fundamental group / Galois Group / タイヒミュラーモジュラー群 / 数論的基本群 / グロタンディーク・タイヒミュラー群 / 写像類群 / 外ガロア表現 / 遠アーベル幾何学 / ガロア表現 / 基本群 / ガロア群 / mailing list / network / database / software / algorithm / computer / number theory / メイリングリスト / ネットワーク / データ / ソフト / アルゴリズム / コンピュータ / オランダ:フランス:韓国:イスラエル:イタリア / 非斉次ディオファンタス近似 / オランダ:フランス:韓国:イスラエル / Diophantus近似 / Rauzy induction / ユークリッドアルゴリズム / エルゴード理論 / 佐々木多様体 / 接触構造 / イタリア:中国:アメリカ / Godbillon-Vey不変量 / 位相幾何学 / 幾何学 / 巡回コホモロジー / 葉層構造 / エータ不変量 / K理論 / イタリア:フランス:オランダ / フランス:オランダ:イスラエル / 測度論敵数論 / 測度論的数論 / 非アルキメデス数体 / symplectic geometry / Dirac structure / deformation quantization / Parabolic geometry / Floer homology / Lie algebroid / 非可換微分幾何学 / イギリス:フランス:ベルギー:中国:コロンビア / 岩沢理論 / 量子コホモロジー / オーストラリア:アメリカ:イタリア / スペクトル理論 / 擬微分作用素 / regularization / 中国:スイス:アメリカ / 非可換ゲージ理論 / シンプレクティック幾何学 / 変形量子化問題 / ジャーブ / 有理点 / p進L関数 / Stickelberger元 / Euler系 / ドイツ:韓国 / Kolyvagin系 / Fittingイデアル / path integral / 固有値問題 / 作用素環 / 双曲多様体 / 無限次元多様体 / 量子エルゴード性 / 非可換解析 / 非可換多様体 Less
  • Research Projects

    (13 results)
  • Research Products

    (19 results)
  • Co-Researchers

    (64 People)
  •  An ergodic study of algorithms

    • Principal Investigator
      NAKADA Hitoshi
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Noncommutative Geometry and equivariant index theorem for twisted group actions

    • Principal Investigator
      MORIYOSHI Hitoshi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Development from Poisson Geometry to Noncommutative Differential Geometry via Integrating of Geometry and Physics

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Geometry
    • Research Institution
      Keio University
  •  Ergodic theory and metric number theory

    • Principal Investigator
      NAKADA Hitoshi
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Keio University
  •  Refined Iwasawa theory and the zeta functions

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Arithmetic of cohomological automorphic representations of orthogonal groups and theta series for indefinite quadratic formsPrincipal Investigator

    • Principal Investigator
      MIYAZAKI Takuya
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  非可換解析を基礎とする非可換微分幾何学の構築と超弦理論への展開

    • Principal Investigator
      MAEDA Yoshiaki
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Global analysis
    • Research Institution
      Keio University
  •  導来函手加群に関連する幾何的ジーゲル保型表現の構成と算術的商多様体の数論Principal Investigator

    • Principal Investigator
      宮崎 琢也
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  幾何的保型形式とアイゼンシュタイン級数に関する算術的商多様体の数論Principal Investigator

    • Principal Investigator
      宮崎 琢也
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Keio University
  •  Grant-in-Aid for Scientific Research(C)(2)

    • Principal Investigator
      KURIHARA Masato
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  実リー群の許容表現に関する一般型球関数とモジュラー多様体の実ホッジ構造Principal Investigator

    • Principal Investigator
      宮崎 琢也
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Data Computation and Software Development in Number Theory by Computers

    • Principal Investigator
      NAKAMULA Ken
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  Exterior Galois representations in fundamental groups and associated arithmetic phenomena

    • Principal Investigator
      NAKAMURA Hiroaki
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University

All 2008 2007 2006 2005 2004

All Journal Article Presentation

  • [Journal Article] A new nonformal noncommutative calculus: associativity and finite part regularization.2008

    • Author(s)
      Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
    • Journal Title

      Asterisque No.321

      Pages: 267-297

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 22008

    • Author(s)
      Y. Hasegawa, T. Miyazaki
    • Journal Title

      International Journal of Mathematics, accepted for publication (未定)(掲載確定)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Journal Article] Twisted Mellin transforms of a real analytic residue of Siegel-Eisenstein series of degree 22008

    • Author(s)
      Y. Hasegawa, T. Miyazaki
    • Journal Title

      International Journal of Mathematics Accepted for publication

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Journal Article] Orderings and non-formal deformation quantization2007

    • Author(s)
      Omori, Hideki, Maeda,Yoshiaki, Miyazaki, Naoya, Yoshioka, Akira
    • Journal Title

      Lett. Math. Phys no.2-3

      Pages: 153-175

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Expressions of algebra elements and transcendental, Noncommutative calculus.2007

    • Author(s)
      Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
    • Journal Title

      Noncommutative geometry and physics

      Pages: 3-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Geometric objects in an approach to quantum geometry. From geometry to quantum mechanics2007

    • Author(s)
      Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
    • Journal Title

      Progr. Math. 252

      Pages: 303-324

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Non-formal deformation quantization of Frechet-Poisson algebras: the Heisenberg and Lie algebra case. field theory2007

    • Author(s)
      Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
    • Journal Title

      Contemp. Math. 434

      Pages: 99-123

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Orderings and non-formal deformation quantization.2007

    • Author(s)
      Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira
    • Journal Title

      Lett. Math. Phys 82,no.2-3

      Pages: 153-175

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Expressions Expressions of algebra elements and transcendental noncommutative calculus2007

    • Author(s)
      Hideki Omori, Maeda, Yoshiaki, Naoya Miyazaki, Akira Yoshioka
    • Journal Title

      Noncommutative geometry and physics2005

      Pages: 3-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18204006
  • [Journal Article] Mellin transform of a residue of Siegel-Eisenstein series2007

    • Author(s)
      長谷川泰子・宮崎琢也
    • Journal Title

      日本数学会2007年度年会 代数分科会講演アブストラクト

      Pages: 106-107

    • Data Source
      KAKENHI-PROJECT-17540038
  • [Journal Article] Confluent hypergeometric functions for reducible principal series2006

    • Author(s)
      T. Miyazaki
    • Journal Title

      RMS Koukyuuroku 1467

      Pages: 62-70

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Journal Article] Confluent hypergeometric functions for reducible degenerate principal series2006

    • Author(s)
      Takuya Miyazaki
    • Journal Title

      京都大学数理解析研究所講究録 (掲載予定)

    • Data Source
      KAKENHI-PROJECT-17540038
  • [Journal Article] Confluent hypergeometric functions for reducible principal series2006

    • Author(s)
      宮崎琢也
    • Journal Title

      数理解析研究所講究録 1467

      Pages: 62-70

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Journal Article] On Saito-Kurokawa lifting to cohomological Siegel modular forms2004

    • Author(s)
      Takuya Miyazaki
    • Journal Title

      Manuscripta mathematicae 114

      Pages: 139-163

    • Data Source
      KAKENHI-PROJECT-14740026
  • [Presentation] Mellin transforms of a residue of Siegel-Eisenstein series2007

    • Author(s)
      長谷川泰子, 宮崎琢也
    • Organizer
      日本数学会 代数分科会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2007-03-30
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Presentation] Mellin transforms of a residue of Siegel-Eisenstein series2007

    • Author(s)
      Y. Hasegawa, T. Miyazaki
    • Organizer
      Algebra session at the annual meeting of Mathematical Society of Japan
    • Place of Presentation
      Saitama University
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Presentation] 退化主系列表現の構造と帯多項式付のsiege-Eisenstein級数2007

    • Author(s)
      宮崎 琢也
    • Organizer
      大阪大学大学院集中講義
    • Place of Presentation
      大阪大学理学研究科
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Presentation] Confluent hypergeometric functions for reducible degenerate principal series2005

    • Author(s)
      T. Miyazaki
    • Organizer
      Representation theory of groups and extension of harmonic analysis
    • Place of Presentation
      Kyoto
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • [Presentation] Confluent hypergeometric functions for reducible degenerate principal series2005

    • Author(s)
      宮崎琢也
    • Organizer
      群の表現と調和解析の広がり
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2005-07-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540038
  • 1.  WATAMURA Satoshi (00201252)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 2.  KURIHARA Masato (40211221)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 3.  MAEDA Yoshiaki (40101076)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 7 results
  • 4.  MORIYOSHI Hitoshi (00239708)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  KAMETANI Yukio (70253581)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  TANAKA Takaaki (60306850)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  MATSUNO Kazuo (40332936)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  TAMURA Yozo (50171905)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 9.  ATSUJI Atsushi (00221044)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 10.  ONO Kaoru (20204232)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 11.  KATSURA Takeshi (50513298)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 12.  NATSUI Rie (60398633)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  NAKAMURA Hiroaki (60217883)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  MIYAKE Katsuya (20023632)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  TATE Tatsuya (00317299)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  OTA Katsuhiro (40213722)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  GUEST Martin (10295470)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 7 results
  • 18.  TAKEDA Yuichirou (30264584)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  OMORI Hideki (20087018)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 7 results
  • 20.  HACHIMORI Yoshitaka (50433743)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  ISHII Ippei (90051929)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  TOSE Nobuyuki (00183492)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 23.  FUKAYA Kenji (30165261)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 24.  MIKAMI Kentaro (70006592)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 25.  MITSUMATSU Yoshihiko (70190725)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 26.  MATSUO Yuyaka (50202320)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 27.  NAKADA Hitoshi (40118980)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 28.  NAKAMULA Ken (80110849)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 29.  KAWASAKI Takeshi (40301410)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 30.  SHIOKAWA Iekata (00015835)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  BANNAI Kenichi (90343201)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  AOKI Miho (10381451)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  SHIMOMURA Shun (00154328)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  IKEDA Kaoru (40232178)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  KONNO Hiroshi (20254138)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  KOHNO Toshitake (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  YAMAGUCHI Keizo (00113639)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  MIYAOKA Reiko (70108182)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  FUTAKI Akitp (90143247)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  MIZUTANI Tadayoshi (20080492)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  OHTA Hiroshi (50223839)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  MAEJIMA Makoto (90051846)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  YASUDA Kumi (40284484)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  MIYAZAKI Naoya (50315826)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  KATO Tsuyoshi (20273427)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  NATSUME Toshikazu (00125890)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  TAMURA Akihisa (50217189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  HAMA Masaki (90389875)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  ISHIKAWA Shiro (10051913)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  FUKUYAMA Katsushi (60218956)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  YOSHIDA Masamichi (60264793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  EI Hiromi (60333051)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 53.  MORITA Takehiko (00192782)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 54.  INOUE Kae (90621011)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 55.  KURATA Toshihiko (40311899)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 56.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 57.  ODA Yoshiaki (90325043)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 58.  鈴木 由紀 (30286645)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 59.  藤井 俊 (20386618)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 60.  落合 理 (90372606)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 61.  加藤 和也 (90111450)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 62.  岡崎 龍太郎 (20268113)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 63.  寺尾 宏明 (90119058)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 64.  深谷 太香子 (20365464)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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