Terashima Yuji 寺嶋郁二

… Alternative Names

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 / ゲージ場の物理 … More / 多重対数関数 / 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 / 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

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

[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

Terashima Yuji 寺嶋 郁二

TERASHIMA Yuji 寺嶋 郁二

Research Projects

Research Products

Co-Researchers

二次特性類の幾何とゲージ場の物理Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Quantum Modular Forms and their Applications

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

二次特性類と多重対数関数の幾何Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometry of secondary characteristic classesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of secondary characteristic classesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Explicit constructions of secondary characteristic classesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Developing Arithmetic Topology

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Project Period (FY)

Research Category

Research Field

Research Institution

Stady of Arithmcfc Topology

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Various inbariants appearing in low-dimensional topology

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Arithmetic Orr Invariants of Absolute Galois Groups2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Adjoint Homological Selmer Modules for SL2-Representations of Knot Groups2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The colored Jones polynomials as vortex partition functions2021

Author(s)

Journal Title

DOI

Data Source

Terashima Yuji 寺嶋郁二

TERASHIMA Yuji 寺嶋郁二