Karuo Hiroaki 軽尾浩晃

Researcher Number	80963363
Other IDs
Affiliation (Current)	2026: 学習院大学, 理学部, 助教
Affiliation (based on the past Project Information) *help	2026: 学習院大学, 理学部, 助教 2022 – 2024: 学習院大学, 理学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / 0201:Algebra, geometry, analysis, applied mathematics,and related fields
Keywords	Principal Investigator 量子団代数 / スケイン代数 / 高階タイヒミュラー空間 / 量子トレース写像 / 量子タイヒミュラー空間 / 指標多様体

Research Projects
(3 results)
Research Products
(43 results)

HOMFLYPTスケインと写像類群Principal Investigator
- Principal Investigator
  
  軽尾浩晃
- Project Period (FY)
  2026 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Gakushuin University
スケイン代数の一般化と量子トレース写像Principal Investigator
- Principal Investigator
  
  軽尾浩晃
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Gakushuin University
Skein algebra and its applicationsPrincipal Investigator
- Principal Investigator
  
  Karuo Hiroaki
- Project Period (FY)
  2022 – 2023
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Gakushuin University

All 2025 2024 2023 2022

All Journal Article Presentation

[Journal Article] Quantum Duality Maps, Skein Algebras and their Ensemble Compatibility2024
- Author(s)
  Ishibashi Tsukasa、Karuo Hiroaki
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 405 Issue: 10 Pages: 244-244
- DOI
  10.1007/s00220-024-05119-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K12976, KAKENHI-PROJECT-24K16914
[Journal Article] On positivity of Roger?Yang skein algebras2024
- Author(s)
  Karuo Hiroaki
- Journal Title
  
  Journal of Algebra
  
  Volume: 647 Pages: 312-326
- DOI
  10.1016/j.jalgebra.2024.01.045
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K12976
[Journal Article] Degenerations of skein algebras and quantum traces2024
- Author(s)
  Bloomquist Wade、Karuo Hiroaki、Le Thang
- Journal Title
  
  Transactions of the American Mathematical Society
  
  Volume: 未定
- DOI
  10.1090/tran/9234
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] An introduction to skein algebras2025
- Author(s)
  Hiroaki Karuo
- Organizer
  Division of Mathematical Sciences Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Azumaya representations of generalized skein algebras2025
- Author(s)
  Hiroaki Karuo
- Organizer
  Spring School on Cluster Algebras 2025
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Center of stated SL(n)-skein algebras2025
- Author(s)
  Hiroaki Karuo
- Organizer
  The 20th East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数の一般化と団代数2025
- Author(s)
  軽尾浩晃
- Organizer
  第1回トポロジー合宿セミナー
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] 線形スケイン理論 12025
- Author(s)
  軽尾浩晃
- Organizer
  微分トポロジー '25
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Skein algebras and quantum tori in view of pants decompositions2024
- Author(s)
  Hiroaki Karuo
- Organizer
  Groningen Topology Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] 境界付き3次元多様体のスケイン加群の有限性予想2024
- Author(s)
  軽尾浩晃
- Organizer
  佐賀創発数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Center of stated SL(n)-skein algebras2024
- Author(s)
  Hiroaki Karuo
- Organizer
  Autumn School on Low-dimensional Topology and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] パンツ分解によるスケイン代数と量子トーラスの関係2024
- Author(s)
  軽尾浩晃
- Organizer
  トポロジー火曜セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数の有限次元表現の理解に向けて2024
- Author(s)
  軽尾浩晃
- Organizer
  第71回トポロジーシンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数の一般化の中心2024
- Author(s)
  軽尾浩晃
- Organizer
  佐賀創発数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数による量子双対写像と強正値性予想の理解2024
- Author(s)
  軽尾浩晃
- Organizer
  拡大版金沢トポロジーセミナー連続講義
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] On positivity of Roger--Yang skein algebras2024
- Author(s)
  Hiroaki Karuo
- Organizer
  East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] 境界付き3次元多様体のスケイン加群の有限性予想2024
- Author(s)
  軽尾浩晃
- Organizer
  佐賀創発数理セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数と正値性予想2024
- Author(s)
  軽尾浩晃
- Organizer
  金沢トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] On positivity of Roger--Yang skein algebras2024
- Author(s)
  Hiroaki Karuo
- Organizer
  East Asian Conference on Geometric Topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Quantum duality maps, skein algebras and their ensemble compatibility2023
- Author(s)
  軽尾浩晃
- Organizer
  南大阪代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] The reduced Dijkgraaf--Witten invariant of knots in the Bloch group of a finite field2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Gauge Fields in Arithmetic, Topology & Physics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Quantum duality maps, skein algebras and their ensemble compatibility2023
- Author(s)
  軽尾浩晃
- Organizer
  南大阪代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Classification of representations of skein algebras using quantum cluster algebras2023
- Author(s)
  軽尾浩晃
- Organizer
  Tohoku Cluster Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数とその周辺2023
- Author(s)
  軽尾浩晃
- Organizer
  N-KOOKセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Classification of representations of skein algebras using quantum cluster algebras2023
- Author(s)
  軽尾浩晃
- Organizer
  Tohoku Cluster Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] スケイン代数と正値性予想2023
- Author(s)
  軽尾浩晃
- Organizer
  佐賀大学・学習院大学合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数の表現とAzumaya集合2023
- Author(s)
  軽尾浩晃
- Organizer
  リーマン面に関連する位相幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Azumaya loci and skein algebras2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Workshop on Quantum invariants and low-dimensional topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Azumaya loci and skein algebras2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Workshop on Quantum invariants and low-dimensional topology
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Roger--Yangスケイン代数の正値性予想の提案2023
- Author(s)
  軽尾浩晃
- Organizer
  農工大・早大理工セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] スケイン代数の表現とAzumaya集合2023
- Author(s)
  軽尾浩晃
- Organizer
  リーマン面に関連する位相幾何学
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Skein algebras and quantum Teichmuller spaces2023
- Author(s)
  Hiroaki Karuo
- Organizer
  The 14th MSJ-SI: New Aspects of Teichmuller theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] スケイン代数とその周辺2023
- Author(s)
  軽尾浩晃
- Organizer
  N-KOOKセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] On positivity of Roger--Yang skein algebras2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Skein theory in Singapore
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Quantum duality maps and skein algebras2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Skein Algebra and related topics School and Workshop
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Skein algebras and quantum Teichmuller spaces2023
- Author(s)
  Hiroaki Karuo
- Organizer
  The 14th MSJ-SI: New Aspects of Teichmuller theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] On positivity of Roger--Yang skein algebras2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Skein theory in Singapore
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] スケイン代数と正値性予想2023
- Author(s)
  軽尾浩晃
- Organizer
  佐賀大学・学習院大学合同トポロジーセミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Quantum duality maps and skein algebras2023
- Author(s)
  Hiroaki Karuo
- Organizer
  Skein Algebra and related topics School and Workshop
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K12976
[Presentation] Roger--Yangスケイン代数の正値性予想の提案2023
- Author(s)
  軽尾浩晃
- Organizer
  農工大・早大理工セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] Quantum trace maps for LRY skein algebras2022
- Author(s)
  Hiroaki Karuo
- Organizer
  Friday Seminar on Knot Theory
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] スケイン代数とその周辺2022
- Author(s)
  軽尾浩晃
- Organizer
  学習院大学・数学科談話会
- Invited
- Data Source
  KAKENHI-PROJECT-22K20342
[Presentation] LRY skein algebras and Chekhov--Fock algebras2022
- Author(s)
  Hiroaki Karuo
- Organizer
  Topology and Geometry of Low-dimensional Manifolds
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K20342

Karuo Hiroaki 軽尾 浩晃

Research Projects

Research Products

HOMFLYPTスケインと写像類群Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

スケイン代数の一般化と量子トレース写像Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Skein algebra and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Quantum Duality Maps, Skein Algebras and their Ensemble Compatibility2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On positivity of Roger?Yang skein algebras2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Degenerations of skein algebras and quantum traces2024

Author(s)

Journal Title

DOI

Data Source

[Presentation] An introduction to skein algebras2025

Author(s)

Organizer

Data Source

[Presentation] Azumaya representations of generalized skein algebras2025

Author(s)

Organizer

Data Source

[Presentation] Center of stated SL(n)-skein algebras2025

Author(s)

Organizer

Data Source

[Presentation] スケイン代数の一般化と団代数2025

Author(s)

Organizer

Data Source

[Presentation] 線形スケイン理論 12025

Author(s)

Organizer

Data Source

[Presentation] Skein algebras and quantum tori in view of pants decompositions2024

Author(s)

Organizer

Data Source

[Presentation] 境界付き3次元多様体のスケイン加群の有限性予想2024

Author(s)

Organizer

Data Source

[Presentation] Center of stated SL(n)-skein algebras2024

Author(s)

Organizer

Data Source

[Presentation] パンツ分解によるスケイン代数と量子トーラスの関係2024

Author(s)

Organizer

Data Source

[Presentation] スケイン代数の有限次元表現の理解に向けて2024

Author(s)

Organizer

Data Source

[Presentation] スケイン代数の一般化の中心2024

Author(s)

Organizer

Data Source

Karuo Hiroaki 軽尾浩晃