Kitayama Takahiro 北山貴裕

Researcher Number	10700057
Affiliation (Current)	2025: 東京大学, 大学院数理科学研究科, 准教授
Affiliation (based on the past Project Information) *help	2016 – 2024: 東京大学, 大学院数理科学研究科, 准教授 2018: 東京大学, 数理(科)学研究科(研究院), 准教授 2014 – 2015: 東京工業大学, 理工学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry Except Principal Investigator Basic Section 11020:Geometry-related / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 表現 / 位相不変量 / 3次元多様体 / 交叉形式 / 離散群 Except Principal Investigator 写像類群 / 結び目理論 / 量子位相不変量 / 反復積分 / 離散群 … More / モジュライ空間 / ホロノミー関手 / 高次圏 / 超幾何積分 / 共形場理論 / 量子群 / 組みひも群 / Klein群 / Teichmuller理論 / Johnson準同型 / Thurston非対称計量 / クラスター代数 / 双曲幾何 / タイヒミュラー空間 / Finsler計量 / 双曲構造 / Thurston計量 / Finsler距離 / 非対称距離 / Teichmuller空間 Less

指標多様体の幾何学と3次元多様体のトポロジーPrincipal Investigator
- Principal Investigator
  
  北山貴裕
- Project Period (FY)
  2024 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  The University of Tokyo
Geometric quantum representations of discrete groups and extensions to higher categories
- Principal Investigator
  
  河野俊丈
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Meiji University
High dimensional deformations of linear representations and distribution and complexity of essential surfacesPrincipal Investigator
- Principal Investigator
  
  KITAYAMA Takahiro
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (A))
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  The University of Tokyo
高次元線形表現のモジュライ空間と3次元多様体の分解Principal Investigator
- Principal Investigator
  
  北山貴裕
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  The University of Tokyo
Various evolutions of Teichmuller theory
- Principal Investigator
  
  大鹿健一
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Gakushuin University
  Osaka University
Moduli spaces of linear representations and non-abelian torsion invariantsPrincipal Investigator
- Principal Investigator
  
  Kitayama Takahiro
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  The University of Tokyo
  Tokyo Institute of Technology

All 2024 2022 2021 2020 2019 2018 2017 2016 2015 2014

All Journal Article Presentation

[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] A survey of the Thurston norm2022
- Author(s)
  Takahiro Kitayama
- Journal Title
  
  In the Tradition of Thurston II
  
  Volume: － Pages: 149-199
- DOI
  10.1007/978-3-030-97560-9_5
- ISBN
  9783030975593, 9783030975609
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K13404, KAKENHI-PROJECT-18KK0071, KAKENHI-PROJECT-18KK0380, KAKENHI-PROJECT-23K20799
[Journal Article] Character varieties of higher dimensional representations and splittings of 3-manifolds2021
- Author(s)
  Hara Takashi、Kitayama Takahiro
- Journal Title
  
  Geometriae Dedicata
  
  Volume: ー Issue: 1 Pages: 433-466
- DOI
  10.1007/s10711-020-00590-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K13395, KAKENHI-PROJECT-18K13404, KAKENHI-PROJECT-18KK0380, KAKENHI-PROJECT-18KK0071
[Journal Article] Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials2021
- Author(s)
  Friedl Stefan、Kitayama Takahiro、Lewark Lukas、Nagel Matthias、Powell Mark
- Journal Title
  
  Canadian Journal of Mathematics
  
  Volume: － Issue: 4 Pages: 1-40
- DOI
  10.4153/s0008414x21000183
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404, KAKENHI-PROJECT-18KK0380, KAKENHI-PROJECT-18KK0071
[Journal Article] Representation varieties detect essential surfaces2018
- Author(s)
  Friedl Stefan, Kitayama Takahiro and Nagel Matthias
- Journal Title
  
  Mathematical Research Letters
  
  Volume: 25 Issue: 3 Pages: 803-817
- DOI
  10.4310/mrl.2018.v25.n3.a4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404, KAKENHI-PROJECT-18KK0071
[Journal Article] A note on the existence of essential tribranched surfaces2017
- Author(s)
  Stefan Friedl, Takahiro Kitayama and Matthias Nagel
- Journal Title
  
  Topology and its Applications
  
  Volume: 225 Pages: 75-82
- DOI
  10.1016/j.topol.2017.04.023
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[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] Twisted Alexander polynomials and incompressible surfaces given by ideal points2015
- Author(s)
  Takahiro Kitayama
- Journal Title
  
  Journal of Mathematical Sciences, the University of Tokyo
  
  Volume: 22 Pages: 877-891
- NAID
  120006906143
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800032
[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] Normalization of twisted Alexander invariants2015
- Author(s)
  Takahiro Kitayama
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 26 Issue: 10 Pages: 1550077-1550077
- DOI
  10.1142/s0129167x15500779
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800032
[Journal Article] Twisted Alexander polynomials and ideal points giving Seifert surfaces2014
- Author(s)
  Takahiro Kitayama
- Journal Title
  
  Acta Mathematica Vietnamica
  
  Volume: 39 Issue: 4 Pages: 567-574
- DOI
  10.1007/s40306-014-0082-z
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800032
[Journal Article] The virtual fibering theorem for 3-manifolds2014
- Author(s)
  Stefan Friedl and Takahiro Kitayama
- Journal Title
  
  L’Enseignement Mathe'matique
  
  Volume: 60 Issue: 1 Pages: 79-107
- DOI
  10.4171/lem/60-1/2-5
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Thurston norm, twisted Euler characteristics and virtual fibering2024
- Author(s)
  Takahiro Kitayama
- Organizer
  The 19th Kagoshima Algebra-Analysis-Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Blanchfield pairings and Gordian distance2024
- Author(s)
  Takahiro Kitayama
- Organizer
  Knot theory, LMO invariants and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Blanchfield pairings and Gordian distance2024
- Author(s)
  Kitayama Takahiro
- Organizer
  Knot theory, LMO invariants and related topics, OIST
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20799
[Presentation] Thurston norm, twisted Euler characteristics and virtual fibering2024
- Author(s)
  Kitayama Takahiro
- Organizer
  The 19th Kagoshima Algebra-Analysis-Geometry Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20799
[Presentation] Torsion polynomial functions and essential surfaces2022
- Author(s)
  Kitayama Takahiro
- Organizer
  Seminaire GT3, IRMA, Strasbourg
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20799
[Presentation] Torsion polynomial functions and essential surfaces2022
- Author(s)
  Takahiro Kitayama
- Organizer
  Se'minaire GT3, Institut de Recherche Mathe'matique Avance'e
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Torsion polynomial functions and essential surfaces2022
- Author(s)
  Takahiro Kitayama
- Organizer
  Se'minaire GT3, Institut de Recherche Mathe'matique Avance'e
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0380
[Presentation] Torsion polynomial functions and essential surfaces2022
- Author(s)
  Takahiro Kitayama
- Organizer
  Se'minaire GT3, IRMA, Strasbourg
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20799
[Presentation] リボンコンコーダンスとねじれAlexander多項式2021
- Author(s)
  北山貴裕
- Organizer
  N-KOOKセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Ribbon concordance and twisted Alexander polynomials2021
- Author(s)
  北山貴裕
- Organizer
  トポロジーとコンピュータ 2021
- Invited
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] リボンコンコーダンスとねじれAlexander多項式2021
- Author(s)
  北山貴裕
- Organizer
  N-KOOKセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0380
[Presentation] Ribbon concordance and twisted Alexander polynomials2021
- Author(s)
  北山貴裕
- Organizer
  トポロジーとコンピュータ 2021
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0380
[Presentation] Ribbon concordance and twisted Alexander polynomials2021
- Author(s)
  北山貴裕
- Organizer
  トポロジーとコンピュータ 2021
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0071
[Presentation] Representations of fundamental groups and 3-manifold topology2020
- Author(s)
  Takahiro Kitayama
- Organizer
  理化学研究所数理創造プログラム数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18KK0380
[Presentation] Representations of fundamental groups and 3-manifold topology2020
- Author(s)
  Takahiro Kitayama
- Organizer
  理化学研究所数理創造プログラム数学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Character varieties and essential surfaces2019
- Author(s)
  Takahiro Kitayama
- Organizer
  Low-Dimensional Topology Workshop 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0380
[Presentation] Character varieties and essential surfaces2019
- Author(s)
  Takahiro Kitayama
- Organizer
  Low-Dimensional Topology Workshop 2019
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Twisted Alexander polynomials and L^2-Euler characteristics2019
- Author(s)
  Takahiro Kitayama
- Organizer
  Global Analysis Seminar, University of Regensburg
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Twisted Alexander polynomials and L^2-Euler characteristics2019
- Author(s)
  Takahiro Kitayama
- Organizer
  Global Analysis Seminar, University of Regensburg
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0380
[Presentation] Character varieties and essential surfaces2019
- Author(s)
  Takahiro Kitayama
- Organizer
  The 14th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] トーション多項式関数と3次元多様体の分解について2018
- Author(s)
  北山貴裕
- Organizer
  東京電機大学数学講演会
- Invited
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] 線形表現のなす空間と3次元多様体内の曲面について2018
- Author(s)
  北山貴裕
- Organizer
  空間の代数的・幾何的モデルとその周辺
- Invited
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Character varieties and essential surfaces2018
- Author(s)
  Takahiro Kitayama
- Organizer
  The 14th East Asian Conference on Geometric Topology, 北京大学, 中国
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0071
[Presentation] Twisted Alexander polynomials and L^2-Euler characteristics2018
- Author(s)
  Takahiro Kitayama
- Organizer
  New development of low-dimensional topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13404
[Presentation] Torsion polynomial functions and essential surfaces2018
- Author(s)
  Takahiro Kitayama
- Organizer
  Low Dimensional Topology and Number Theory X
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties and essential surfaces2017
- Author(s)
  Takahiro Kitayama
- Organizer
  New Development in Teichmuller Space Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect splittings of 3-manifolds2017
- Author(s)
  Takahiro Kitayama
- Organizer
  Invariants in Low-dimensional Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect splittings of 3-manifolds2017
- Author(s)
  Takahiro Kitayama
- Organizer
  The second Australia-Japan Geometry, Analysis and their Applications
- Place of Presentation
  京都大学（京都府京都市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect splittings of 3-manifolds2016
- Author(s)
  Takahiro Kitayama
- Organizer
  Rigidity School, Nagoya 2016
- Place of Presentation
  名古屋大学（愛知県名古屋市）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect essential surfaces2016
- Author(s)
  Takahiro Kitayama
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2016
- Place of Presentation
  広島大学
- Year and Date
  2016-03-07
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect essential surfaces I, II2015
- Author(s)
  Takahiro Kitayama
- Organizer
  Topology and Geometry of Low-dimensional Manifolds
- Place of Presentation
  奈良女子大学
- Year and Date
  2015-10-29
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect essential surfaces2015
- Author(s)
  Takahiro Kitayama
- Organizer
  Geometry of Moduli Space of Low Dimensional Manifolds
- Place of Presentation
  京都大学
- Year and Date
  2015-12-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Representation varieties detect essential surfaces2015
- Author(s)
  Takahiro Kitayama
- Organizer
  Braids, Configuration Spaces and Quantum Topology
- Place of Presentation
  東京大学
- Year and Date
  2015-09-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26800032
[Presentation] Splittings of 3-manifolds in view of moduli spaces of linear representations and torsion functions2014
- Author(s)
  北山貴裕
- Organizer
  大岡山談話会
- Place of Presentation
  東京工業大学
- Year and Date
  2014-06-11
- Invited
- Data Source
  KAKENHI-PROJECT-26800032

1. 大鹿健一 (70183225)

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2. 河澄響矢 (30214646)

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3. 山崎玲 (30431901)

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4. 宮地秀樹 (40385480)

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5. 久野雄介 (80632760)

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6. 山田澄生 (90396416)

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7. 河野俊丈 (80144111)

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8. 逆井卓也 (60451902)

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9. 鈴木正明 (70431616)

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10. 寺嶋郁二

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11. 原隆

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Kitayama Takahiro 北山 貴裕

Research Projects

Research Products

Co-Researchers

指標多様体の幾何学と3次元多様体のトポロジーPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Geometric quantum representations of discrete groups and extensions to higher categories

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

High dimensional deformations of linear representations and distribution and complexity of essential surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

高次元線形表現のモジュライ空間と3次元多様体の分解Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Various evolutions of Teichmuller theory

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Moduli spaces of linear representations and non-abelian torsion invariantsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A survey of the Thurston norm2022

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] Character varieties of higher dimensional representations and splittings of 3-manifolds2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Representation varieties detect essential surfaces2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A note on the existence of essential tribranched surfaces2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On certain $L$-functions for deformations of knot group representations2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Twisted Alexander polynomials and incompressible surfaces given by ideal points2015

Author(s)

Journal Title

NAID

Kitayama Takahiro 北山貴裕