Kai Wataru 甲斐亘

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KAI Wataru 甲斐亘

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Researcher Number	00804296
Other IDs	https://orcid.org/0000-0002-4920-8043
Affiliation (Current)	2025: 東北大学, 理学研究科, 助教
Affiliation (based on the past Project Information) *help	2018 – 2023: 東北大学, 理学研究科, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related
Keywords	Principal Investigator ゼータ関数 / 数体 / Green-Tao-Zieglerの定理 / 組合せ論 / 数体の素元 / Green-Taoの定理 / 素元 / 組合わせ論 / 加法的整数論 / 組み合わせ論 … More / L関数 / フーリエ解析 / 篩法 / 位相群 / 冪零列 / 高階Fourier解析 / 素数分布 / 数論的関数 / 同時素元値 / トポロジー / モジュラス付き代数的サイクル / K群・K理論 / ホモトピー / 高次圏 / Chern類 / ガンマ空間 / スペクトル系列 / モチーフ / 高次Chow群 / Fourier解析 / アフィン曲線 / K理論 / 素数 / Hodge-Witt層 / プリズム / 導来幾何 / 多様体 / 有理点 / 素数定理 / モジュラス付きモチーフ / 三井の素数定理 / K群 / Chow群 / Hasse原理 / 高次周群 / 相対K群 / 陳類 / 移動補題 / モジュラス / 代数的サイクル Less

Additive number theory in number fieldsPrincipal Investigator
- Principal Investigator
  
  甲斐亘
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University
Chern classes with modulus and higher structures of algebraic cyclesPrincipal Investigator
- Principal Investigator
  
  KAI Wataru
- Project Period (FY)
  2018 – 2023
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

[Journal Article] Unramified logarithmic Hodge-Witt cohomology and -invariance2022
- Author(s)
  Kai Wataru、Otabe Shusuke、Yamazaki Takao
- Journal Title
  
  Forum of Mathematics, Sigma
  
  Volume: 10
- DOI
  10.1017/fms.2022.6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03232, KAKENHI-PROJECT-21K03153, KAKENHI-PROJECT-18K13382, KAKENHI-PROJECT-21K20334
[Journal Article] Isomorphism up to bounded torsion between relative K_0-groups and Chow groups with modulus2020
- Author(s)
  Ryomei Iwasa and Wataru Kai
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: - Issue: 6 Pages: 1947-1968
- DOI
  10.1017/s1474748020000055
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13382
[Journal Article] Notes on a p-adic exponential map for the Picard group2019
- Author(s)
  Wataru Kai
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 42-1 Issue: 1 Pages: 35-49
- DOI
  10.3836/tjm/1502179262
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K13382
[Journal Article] Chern classes with modulus2019
- Author(s)
  Ryomei Iwasa and Wataru Kai
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 236 Pages: 84-133
- DOI
  10.1017/nmj.2018.52
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13382
[Journal Article] A moving lemma for algebraic cycles with modulus and contravariance2019
- Author(s)
  Wataru Kai
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: - Issue: 1 Pages: 475-522
- DOI
  10.1093/imrn/rnz018
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K13382
[Presentation] Linear patterns of prime elements in number fields2024
- Author(s)
  Wataru Kai
- Organizer
  New Directions in Rational Points
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13382
[Presentation] Linear patterns of prime elements in number fields2024
- Author(s)
  Wataru Kai
- Organizer
  New Directions in Rational Points
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13886
[Presentation] The Green-Tao Theorem for number fields and beyond2023
- Author(s)
  Wataru Kai
- Organizer
  Gruppen und topologische Gruppen
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13382
[Presentation] The Green-Tao theorem for number fields (and beyond)2023
- Author(s)
  Wataru Kai
- Organizer
  Gauge Fields in Arithmetic, Topology & Physics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13886
[Presentation] The Green-Tao Theorem for number fields and beyond2023
- Author(s)
  Wataru Kai
- Organizer
  Gruppen und typologische Gruppen
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K13886
[Presentation] 数体に対するGreen-Taoの定理2021
- Author(s)
  甲斐亘
- Organizer
  代数的整数論とその周辺2021
- Invited
- Data Source
  KAKENHI-PROJECT-18K13382
[Presentation] Algebraic cycles with modulus and some relative K-groups2019
- Author(s)
  甲斐亘
- Organizer
  The Asia-Australia Algebra Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13382
[Presentation] Algebraic cycles with modulus and some relative K-groups2018
- Author(s)
  甲斐亘
- Organizer
  p-adic chomology and arithmetic geometry 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K13382

1. 山崎隆雄

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kai Wataru 甲斐 亘

KAI Wataru 甲斐 亘

Research Projects

Research Products

Co-Researchers

Additive number theory in number fieldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Chern classes with modulus and higher structures of algebraic cyclesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Unramified logarithmic Hodge-Witt cohomology and -invariance2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Isomorphism up to bounded torsion between relative K_0-groups and Chow groups with modulus2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Notes on a p-adic exponential map for the Picard group2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Chern classes with modulus2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A moving lemma for algebraic cycles with modulus and contravariance2019

Author(s)

Journal Title

DOI

Data Source

[Presentation] Linear patterns of prime elements in number fields2024

Author(s)

Organizer

Data Source

[Presentation] Linear patterns of prime elements in number fields2024

Author(s)

Organizer

Data Source

[Presentation] The Green-Tao Theorem for number fields and beyond2023

Author(s)

Organizer

Data Source

[Presentation] The Green-Tao theorem for number fields (and beyond)2023

Author(s)

Organizer

Data Source

[Presentation] The Green-Tao Theorem for number fields and beyond2023

Author(s)

Organizer

Data Source

[Presentation] 数体に対するGreen-Taoの定理2021

Author(s)

Organizer

Data Source

[Presentation] Algebraic cycles with modulus and some relative K-groups2019

Author(s)

Organizer

Data Source

[Presentation] Algebraic cycles with modulus and some relative K-groups2018

Author(s)

Organizer

Data Source

Kai Wataru 甲斐亘

KAI Wataru 甲斐亘