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Terashima Yuji  寺嶋 郁二

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TERASHIMA Yuji  寺嶋 郁二

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Researcher Number 70361764
Other IDs
Affiliation (Current) 2025: 東北大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2018 – 2025: 東北大学, 理学研究科, 教授
2016 – 2017: 東京工業大学, 情報理工学院, 准教授
2013 – 2015: 東京工業大学, 情報理工学(系)研究科, 准教授
2012: 東京工業大学, 理工学研究科, 助教
2010 – 2012: 東京工業大学, 大学院・理工学研究科, 助教 … More
2008: 東京工業大学, 理工学研究科, 助教
2007: Tokyo Institute of Technology, 大学院・理工学研究科, 助教
2006: Tokyo Insitute of Technology, Department of Mathematics, Assistant Professor, 大学院理工学研究科, 助手
2003 – 2005: 東京工業大学, 大学院・理工学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Geometry / Basic Section 11020:Geometry-related
Except Principal Investigator
Algebra / Basic Section 11010:Algebra-related / Geometry
Keywords
Principal Investigator
数理物理 / トポロジー / 特性類 / 双曲体積 / 3次元多様体 / 結び目 / 量子不変量 / 数論トポロジー / ミューテーション / 多重対数関数 … More / 微分位相幾何 / 数論 / 超対称ゲージ理論 / 量子ダイログ関数 / クラスター代数 / トポエジー / クラスター / クラスター変換 / ゲージ場の物理 / 数論的トポロジー / 微分トポロジー / K群 / 微分形式 / ホモロジー / ゲージ理論 / 双曲多様体 / 微分トポロジー 特性類 / ホロノミー / 主圏束 / 超多様体 / ホモロジーベクトル場 … More
Except Principal Investigator
結び目 / Reidemeister torsion / 量子不変量 / 素数 / モジュラー形式 / トポロジー / Primes / Knots / Chern-Simons invariant / quantum invariant / volume conjecture / colored Jones polynomial / 3-mainfold / knot / Dehn手術 / 8の字結び目 / トーラス結び目 / Alexander多項式 / Jones多項式 / 体積 / torus結び目 / Chern-Simons不変量 / 体積予想 / 色付きJones多項式 / 3次元多様体 / 結び目と素数 Less
  • Research Projects

    (10 results)
  • Research Products

    (34 results)
  • Co-Researchers

    (15 People)
  •  二次特性類の幾何とゲージ場の物理Principal Investigator

    • Principal Investigator
      寺嶋 郁二
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Tohoku University
  •  Quantum Modular Forms and their Applications

    • Principal Investigator
      樋上 和弘
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Kyushu University
  •  二次特性類と多重対数関数の幾何Principal Investigator

    • Principal Investigator
      寺嶋 郁二
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Tohoku University
  •  Geometry of secondary characteristic classesPrincipal Investigator

    • Principal Investigator
      Terashima Yuji
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tohoku University
      Tokyo Institute of Technology
  •  Geometry of secondary characteristic classesPrincipal Investigator

    • Principal Investigator
      Terashima Yuji
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Explicit constructions of secondary characteristic classesPrincipal Investigator

    • Principal Investigator
      TERASHIMA Yuji
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Developing Arithmetic Topology

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Kyushu University
  •  中興束の幾何学とその無限小としての超多様体上のホモロジーベクトル場Principal Investigator

    • Principal Investigator
      寺嶋 郁二
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technology
  •  Stady of Arithmcfc Topology

    • Principal Investigator
      MORISHITA Masanori
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERCITY
  •  Various inbariants appearing in low-dimensional topology

    • Principal Investigator
      MURAKAMI Hitoshi
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Geometry
    • Research Institution
      Tokyo Institute of Technorogy

All 2022 2021 2020 2019 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] Arithmetic Orr Invariants of Absolute Galois Groups2022

    • Author(s)
      Kodani Hisatoshi、Terashima Yuji
    • Journal Title

      International Mathematics Research Notices

      Volume: 138 Issue: 13 Pages: 11316-11403

    • DOI

      10.1093/imrn/rnac138

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03240
  • [Journal Article] On Adjoint Homological Selmer Modules for SL2-Representations of Knot Groups2022

    • Author(s)
      Kitayama Takahiro、Morishita Masanori、Tange Ryoto、Terashima Yuji
    • Journal Title

      International Mathematics Research Notices

      Volume: 255 Issue: 23 Pages: 19801-19826

    • DOI

      10.1093/imrn/rnac255

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03240, KAKENHI-PROJECT-18K13404, KAKENHI-PROJECT-18KK0071, KAKENHI-PROJECT-18KK0380, KAKENHI-PROJECT-23K20799
  • [Journal Article] The colored Jones polynomials as vortex partition functions2021

    • Author(s)
      Manabe Masahide、Terashima Seiji、Terashima Yuji
    • Journal Title

      Journal of High Energy Physics

      Volume: 2021 Issue: 12

    • DOI

      10.1007/jhep12(2021)197

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05414, KAKENHI-PROJECT-21K03240
  • [Journal Article] On 3-dimensional foliated dynamical systems and Hilbert type reciprocity law2021

    • Author(s)
      Junhyeong Kim, Masanori Morishita, Takeo Noda, Yuji Terashima
    • Journal Title

      Munster Journal of Mathematics

      Volume: 14 Pages: 323-348

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21K03240
  • [Journal Article] Cluster variables, ancestral triangles and Alexander polynomials2020

    • Author(s)
      Nagai Wataru、Terashima Yuji
    • Journal Title

      Advances in Mathematics

      Volume: 363 Pages: 106965-106965

    • DOI

      10.1016/j.aim.2019.106965

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05243
  • [Journal Article] HYPERBOLIC 3-MANIFOLDS AND CLUSTER?ALGEBRAS2019

    • Author(s)
      NAGAO KENTARO、TERASHIMA YUJI、YAMAZAKI MASAHITO
    • Journal Title

      Nagoya Mathematical Journal

      Volume: 235 Pages: 1-25

    • DOI

      10.1017/nmj.2017.39

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05243
  • [Journal Article] ON THE UNIVERSAL DEFORMATIONS FOR SL$_2$-REPRESENTATIONS OF KNOT GROUPS2017

    • Author(s)
      M. Morishita, Y. Takakura, Y. Terashima, J. Ueki
    • Journal Title

      Tohoku Mathematical Journal, Second Series

      Volume: 69 Issue: 1 Pages: 67-84

    • DOI

      10.2748/tmj/1493172129

    • ISSN
      0040-8735, 2186-585X
    • Year and Date
      2017-03-30
    • Language
      English
    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400083
  • [Journal Article] On certain $L$-functions for deformations of knot group representations2017

    • Author(s)
      Kitayama Takahiro、Morishita Masanori、Tange Ryoto、Terashima Yuji
    • Journal Title

      Transactions of the American Mathematical Society

      Volume: 370 Issue: 5 Pages: 3171-3195

    • DOI

      10.1090/tran/7037

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05243, KAKENHI-PROJECT-16H06336, KAKENHI-PROJECT-17H02837, KAKENHI-PROJECT-16J03575, KAKENHI-PROJECT-18K13404
  • [Journal Article] Arithmetic Topology in Ihara Theory2017

    • Author(s)
      Kodani Hisatoshi、Morishita Masanori、Terashima Yuji
    • Journal Title

      Publications of the Research Institute for Mathematical Sciences

      Volume: 53 Issue: 4 Pages: 629-688

    • DOI

      10.4171/prims/53-4-6

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05243, KAKENHI-PROJECT-16H06336
  • [Journal Article] Quiver Mutation Sequences and $q$-Binomial Identities2017

    • Author(s)
      Kato Akishi、Mizuno Yuma、Terashima Yuji
    • Journal Title

      International Mathematics Research Notices

      Volume: 108 Issue: 23 Pages: 1-24

    • DOI

      10.1093/imrn/rnx108

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K13752, KAKENHI-PROJECT-16H03931, KAKENHI-PROJECT-17K05243, KAKENHI-PROJECT-18J22576
  • [Journal Article] p-Johnson homomorphisms and pro-p groups2017

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Journal of Algebra

      Volume: 479 Pages: 102-136

    • DOI

      10.1016/j.jalgebra.2017.01.028

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400083, KAKENHI-PROJECT-16H06336
  • [Journal Article] Characteristic classes of fiber bundle2016

    • Author(s)
      T. Matsuyuki, Y. Terashima
    • Journal Title

      Algebr. Geom. Topol.

      Volume: 16 Issue: 5 Pages: 3029-3050

    • DOI

      10.2140/agt.2016.16.3029

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400083
  • [Journal Article] Quantum Dilogarithms and Partition q-Series2015

    • Author(s)
      Akishi Kato, Yuji Terashima
    • Journal Title

      Communications in Mathematical Physics

      Volume: 338 Issue: 1 Pages: 457-481

    • DOI

      10.1007/s00220-015-2323-y

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400083
  • [Journal Article] Torsion functions on moduli spaces in view of the cluster algebra2015

    • Author(s)
      Takahiro Kitayama and Yuji Terashima
    • Journal Title

      Geometriae Dedicata

      Volume: 175 Issue: 1 Pages: 125-143

    • DOI

      10.1007/s10711-014-0032-x

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-26800032, KAKENHI-PROJECT-25400083
  • [Journal Article] Quiver Mutation Loops and Partition q-Series2015

    • Author(s)
      Akishi Kato and Yuji Terashima
    • Journal Title

      Comm. Math. Phys

      Volume: 336 Issue: 2 Pages: 811-830

    • DOI

      10.1007/s00220-014-2224-5

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25400083
  • [Journal Article] N=2 Theories from Cluster Algebras2014

    • Author(s)
      Yuji Terashima, Masahito Yamazaki
    • Journal Title

      Prog.Theor.Exp.Phys.

      Volume: 023 Issue: 2 Pages: 23B01-0

    • DOI

      10.1093/ptep/ptt115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400083
  • [Journal Article] Semiclassical Analysis of the 3d/3d Relation2013

    • Author(s)
      Yuji Terashima, Masahito Yamazaki
    • Journal Title

      Phys.Rev.D

      Volume: 88 Issue: 2

    • DOI

      10.1103/physrevd.88.026011

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400083
  • [Journal Article] Emergent 3-manifolds from four dimensional superconformal indices2012

    • Author(s)
      Y. Terashima, M. Yamazaki
    • Journal Title

      Phys. Rev. Lett

      Pages: 109-109

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740036
  • [Journal Article] Emergent 3-manifolds from four dimensional superconformal indices2012

    • Author(s)
      Y. Terashima and M. Yamazaki
    • Journal Title

      Phys. Rev. Lett.

      Volume: 109 Issue: 9

    • DOI

      10.1103/physrevlett.109.091602

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740036
  • [Journal Article] SL(2,R) Chern-Simons Liouville, and Gauge Theories on Duality Walls2011

    • Author(s)
      Y. Terashima and M. Yamazaki
    • Journal Title

      JHEP

      Volume: 1108 Pages: 135-135

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740036
  • [Journal Article] Chern-Weil construction for twisted K-theory2010

    • Author(s)
      K. Gomi, Y. Terashima
    • Journal Title

      Comm. Math. Phys

      Volume: no.1 Pages: 225-254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740036
  • [Journal Article] Chern-Weil construction for twisted K-theory2010

    • Author(s)
      Kiyonori Gomi, Yuji Terashima
    • Journal Title

      Comm.Math.Phys.

      Volume: 299 Pages: 225-254

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740036
  • [Journal Article] Chern-Simons Variation and Deligne cohomology2009

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Contemborary Matb. AMS (to appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Chern-Simons variation and Deligne cohomology, in : Spectral Analysis in Geometry and Number Theory on Prof2009

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Toshikazu Sunada's 60th birthday, Contemporary Math., AMS

      Pages: 127-134

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Geometry of polgsymbols2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Math. Res. Leffers 15

      Pages: 95-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Geometry of polysymbols2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Mathematical Research Letters

      Pages: 95-116

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Chern-Simons variation and Delrgne cohomology2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      preprint (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Geometry of polysymbols2008

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Math. Res. Lett. 15

      Pages: 95-115

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17740033
  • [Journal Article] Arithmetic topology after Hida theory2007

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      Series on Knots and Everthing 40

      Pages: 213-223

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17740033
  • [Journal Article] Arithmetic topology after Hida theory, in : Intelligence of Low Dimensional Topology 20062007

    • Author(s)
      M. Morishita, Y. Terashima
    • Journal Title

      World Scientific Publishing Co. in the Knots and Everything Book Series

    • Data Source
      KAKENHI-PROJECT-19540038
  • [Journal Article] Arithmetic topology after Hide theory2007

    • Author(s)
      Morishita, Terashima
    • Journal Title

      Proc.of Intelligence of Low Dim. Topology (to appear.)(掲載決定)

    • Data Source
      KAKENHI-PROJECT-17540020
  • [Journal Article] Geometry of polysymbols2006

    • Author(s)
      M.Morishita, Y.Terashima
    • Journal Title

      Surikaisekikenkyusho Kokyuroku 1521

      Pages: 154-160

    • Data Source
      KAKENHI-PROJECT-17740033
  • [Journal Article] Arithmetic topology after Hida theory.

    • Author(s)
      M.Morishita, Y.Terashima
    • Journal Title

      Proc of Intelligence of Low Dim Topology (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540020
  • [Presentation] Universal deformation of a knot group representation and associated Alexander invariants(in preparation)

    • Author(s)
      M. Morishita, Y. Terashima
    • Data Source
      KAKENHI-PROJECT-19540038
  • 1.  TAGUCHI Yushiro (90231399)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 2.  KANHARA Masato (40211221)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  FUJII Michihiko (60254231)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  MORISHITA Masanori (40242515)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 9 results
  • 5.  MURAKAMI Hitoshi (70192771)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  ISHIKAWA Masaharu (10361784)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  KITANO Teruaki (90272658)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  USHIJIMA Akira (50323803)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  ENDO Hisaaki (20323777)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  KOHNO Toshtake (80144111)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  樋上 和弘 (60262151)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  藤 博之 (50391719)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  TERASHIMA Seiji
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 14.  北山 貴裕
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 15.  加藤 晃史
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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