Kuwata Masato 鍬田政人

… Alternative Names

鍬田政人クワタマサト

KUWATA Masato 鍬田政人

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Researcher Number	00343640
Other IDs
Affiliation (Current)	2025: 中央大学, 経済学部, 教授
Affiliation (based on the past Project Information) *help	2019 – 2023: 中央大学, 経済学部, 教授 2008 – 2017: Chuo University, 経済学部, 教授 2003 – 2004: 神奈川工科大学, 工学部, 助教授
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator K3曲面 / 楕円曲面 / 数論幾何学 / Mordell-Weil格子 / 国際研究者交流　アメリカ合衆国 / Mordell-Weil群 / Calabi-Yau多様体 / 楕円ファイブレーション / 数論幾何 / Jacobi多様体 … More / 塩田－猪瀬構造 / Mordell－Weil格子 / 国際研究者交流 / クンマー曲面 … More Except Principal Investigator Brill-Nother Theory / Special Linear System / Algebraic Curve / 代数曲面 / Brill-Noether理論 / Brill-Nother理論 / 特殊線形系 / 代数曲線 Less

Mordell-Weil Groups of elliptically-fibered Calabi-Yau manifoldsPrincipal Investigator
- Principal Investigator
  
  Kuwata Masato
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Chuo University
Arithmetic aspects of Mordell-Weil lattices of elliptic K3 surfacesPrincipal Investigator
- Principal Investigator
  
  Kuwata Masato
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Mordell-Weil lattices of elliptic K3 surfacesPrincipal Investigator
- Principal Investigator
  
  KUWATA Masato
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Elliptic fibrations on Kummer surfacesPrincipal Investigator
- Principal Investigator
  
  KUWATA Masato
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Chuo University
Special Linear System on an Algebraic Curve and its Application
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima

All 2024 2023 2022 2021 2019 2018 2017 2016 2015 2014 2012 2010 Other

All Journal Article Presentation

[Journal Article] Ranks of elliptic curves in cyclic sextic extensions of Q2024
- Author(s)
  Kisilevsky Hershy、Kuwata Masato
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: - Issue: 4 Pages: 728-743
- DOI
  10.1016/j.indag.2024.01.004
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03427
[Journal Article] Mordell-Weil lattice of Inose's elliptic K 3 surface arising from the product of 3-isogenous elliptic curves2018
- Author(s)
  Kuwata Masato、Utsumi Kazuki
- Journal Title
  
  Journal of Number Theory
  
  Volume: - Pages: 333-351
- DOI
  10.1016/j.jnt.2018.03.001
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400023
[Journal Article] Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited2017
- Author(s)
  Abhinav Kumar and Masato Kuwata
- Journal Title
  
  Contemporary Mathematics
  
  Volume: ー
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400023
[Journal Article] Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition2016
- Author(s)
  Abhinav Kumar and Masato Kuwata
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: n/a
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400023
[Journal Article] Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition2016
- Author(s)
  Abhinav Kumar and Masato Kuwata
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: ー Pages: 124-185
- DOI
  10.1017/nmj.2016.56
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400023
[Journal Article] Vanishing and non-vanishing Dirichlet twists of L-functions of elliptic curves2012
- Author(s)
  Jack Fearnley, Hershy Kisilevsky, Masato Kuwata
- Journal Title
  
  Journal of London Mathematical Society
  
  Volume: 86 Issue: 2 Pages: 539-557
- DOI
  10.1112/jlms/jds018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540028
[Journal Article] Vanishing and non-vanishing Dirichelet twists of L-function of elliptic curves2012
- Author(s)
  Jack Fearnley, Hershy Kisilevsky, Masato Kuwata
- Journal Title
  
  Journal of London Mathematical Society
  
  Volume: 86 Pages: 539-557
- Data Source
  KAKENHI-PROJECT-23540028
[Presentation] Double cover of extremal rational elliptic surfaces2023
- Author(s)
  鍬田政人
- Organizer
  第 30 回代数曲面ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] 楕円曲線の巡回拡大上定義された有理点について2023
- Author(s)
  鍬田政人
- Organizer
  2023 大分宮崎整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] Toward the theory of Mordell-Weil lattices of elliptic threefolds2023
- Author(s)
  Masato Kuwata
- Organizer
  Calabi-Yau Varieties and Related Topics 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] Finding points defined over cyclic extensions of an elliptic curve: A geometric approach2022
- Author(s)
  Masato Kuwata
- Organizer
  Brown Universiy Algebra seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] Finding points defined over cyclic sextic extensions of an elliptic curve using a K3 surface2022
- Author(s)
  Masato Kuwata
- Organizer
  Curves over finite fields and arithmetic of K3 surfaces (Bernoulli Institute, Rijksuniversiteit Groningen)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] Jacobians of genus 2 curves with full level 3 structure and the related elliptic fibrations2021
- Author(s)
  Masato Kuwata
- Organizer
  Boston University Number theory seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] Rational points on generalized Kummer varieties2019
- Author(s)
  鍬田政人
- Organizer
  高次元代数多様体の有理点
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03427
[Presentation] Shioda-Inose structure and elliptic K3 surfaces with high Mordell-Weil rank2018
- Author(s)
  Masato Kuwata
- Organizer
  Geometry and Physics of F-theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic normal curves of even degree and theta functions2018
- Author(s)
  鍬田政人
- Organizer
  早稲田整数論研究集会
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic normal curves of degree 2N and modular groups2016
- Author(s)
  鍬田政人
- Organizer
  Tsuda College -OIST joint workshop on Calabi-Yau varieties
- Place of Presentation
  津田塾大学
- Year and Date
  2016-08-03
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic brations on K3 surfaces related to the Jacobian of genus 2 curves2016
- Author(s)
  鍬田政人
- Organizer
  玉原数論幾何研究集会2016
- Place of Presentation
  東京大学玉原国際セミナーハウス
- Year and Date
  2016-06-21
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic K3 surfaces with Mordell-Weil rank 182015
- Author(s)
  鍬田政人
- Organizer
  Arithmetic and Algebraic Geometry 2015
- Place of Presentation
  東京大学大学院数理科学研究科
- Year and Date
  2015-01-27
- Invited
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic K3 surfaces with high Mordell-Weil rank2015
- Author(s)
  Masato Kuwata
- Organizer
  第3回K3曲面・エンリケス曲面ワークショップ
- Place of Presentation
  北海道教育大学札幌駅前サテライト
- Year and Date
  2015-08-19
- Invited
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic K3 surfaces with Mordell-Weil rank 182015
- Author(s)
  Masato Kuwata
- Organizer
  Arithmetic 2015: Silvermania
- Place of Presentation
  Brown University, Providence, RI, USA.
- Year and Date
  2015-08-13
- Invited
- Data Source
  KAKENHI-PROJECT-26400023
[Presentation] Elliptic surface with Mordell-Weil rank 182014
- Author(s)
  Masato Kuwata
- Organizer
  Intercity Number Theory Seminar in the Netherlands
- Place of Presentation
  University of Groningen
- Year and Date
  2014-02-28
- Invited
- Data Source
  KAKENHI-PROJECT-23540028
[Presentation] Elliptic K3 surfaces with Mordell-Weil rank 182014
- Author(s)
  Masato Kuwata
- Organizer
  Intercity Number Theory Seminar in the Netherlands
- Place of Presentation
  University of Groningen
- Invited
- Data Source
  KAKENHI-PROJECT-23540028
[Presentation] 3-torsion points of curves of genus 2 and rational elliptic threefolds2012
- Author(s)
  Masato Kuwata
- Organizer
  早稲田整数論研究集会
- Place of Presentation
  早稲田大学
- Year and Date
  2012-03-21
- Invited
- Data Source
  KAKENHI-PROJECT-23540028
[Presentation] Elliptic curve with isomorphic 3-torsion structure2010
- Author(s)
  M.Kuwata
- Organizer
  Workshop on Number theory, Geometry and Physics at the crossroads, Tsuda College
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-20540022
[Presentation] 3-torsion of the Jacobian of a curve of genus 2 and the Mordell-Weil lattice of a rational elliptic surface2010
- Author(s)
  M.Kuwata
- Organizer
  Workshop on elliptic fibrations and K3 surfaces, Humboldt-Universitat zu Berlin
- Year and Date
  2010-07-15
- Data Source
  KAKENHI-PROJECT-20540022
[Presentation] Elliptic curve with iso-morphic 3-torsion structure2010
- Author(s)
  M.Kuwata
- Organizer
  Workshop on arithmetic aspects of elliptic surfaces, Hausdorff Institute, Bonn
- Year and Date
  2010-03-12
- Data Source
  KAKENHI-PROJECT-20540022
[Presentation] 3-torsion of the Jacobian of a curve of genus 2 and the Mordell-Weil lattice of a rational elliptic surface2010
- Author(s)
  鍬田政人
- Organizer
  Workshop on elliptic fibrations and K3 surfaces
- Place of Presentation
  Humboldt-Universitat zu Berlin
- Year and Date
  2010-07-15
- Data Source
  KAKENHI-PROJECT-20540022
[Presentation] Hessian and the elliptic modular surface for level 32010
- Author(s)
  鍬田政人
- Organizer
  Workshop : Arithmetic aspects of elliptic surfaces
- Place of Presentation
  Hausdorff 研究所(ドイツ・ボン)
- Year and Date
  2010-03-12
- Data Source
  KAKENHI-PROJECT-20540022
[Presentation] 3-torsion points of curves of genus 2 and rational elliptic threefolds
- Author(s)
  鍬田政人
- Organizer
  早稲田整数論研究集会(招待講演)
- Place of Presentation
  早稲田大学
- Data Source
  KAKENHI-PROJECT-23540028

1. OHBUCHI Akira (10211111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
2. KATO Takao (10016157)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
3. KOMEDA Jiryo (90162065)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. HOMMA Masaaki (80145523)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kuwata Masato 鍬田 政人

鍬田 政人 クワタ マサト

KUWATA Masato 鍬田 政人

Research Projects

Research Products

Co-Researchers

Mordell-Weil Groups of elliptically-fibered Calabi-Yau manifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Arithmetic aspects of Mordell-Weil lattices of elliptic K3 surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mordell-Weil lattices of elliptic K3 surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Elliptic fibrations on Kummer surfacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Special Linear System on an Algebraic Curve and its Application

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Ranks of elliptic curves in cyclic sextic extensions of Q2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Mordell-Weil lattice of Inose's elliptic K 3 surface arising from the product of 3-isogenous elliptic curves2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Inose's construction and elliptic K3 surfaces with Mordell-Weil rank 15 revisited2017

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition2016

Author(s)

Journal Title

Data Source

[Journal Article] Elliptic K3 surfaces associated with the product of two elliptic curves: Mordell-Weil lattices and their fields of definition2016

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vanishing and non-vanishing Dirichlet twists of L-functions of elliptic curves2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Vanishing and non-vanishing Dirichelet twists of L-function of elliptic curves2012

Author(s)

Journal Title

Data Source

[Presentation] Double cover of extremal rational elliptic surfaces2023

Author(s)

Organizer

Data Source

[Presentation] 楕円曲線の巡回拡大上定義された有理点について2023

Author(s)

Organizer

Data Source

[Presentation] Toward the theory of Mordell-Weil lattices of elliptic threefolds2023

Author(s)

Organizer

Data Source

Kuwata Masato 鍬田政人

鍬田政人クワタマサト

KUWATA Masato 鍬田政人