UMEGAKI Atsuki 梅垣敦紀

… Alternative Names

梅垣敦紀ウメガキアツキ

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Researcher Number	60329109
Other IDs
External Links
Affiliation (Current)	2025: 愛知大学, 国際コミュニケーション学部, 教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 愛知大学, 国際コミュニケーション学部, 教授 2018 – 2020: 愛知大学, 国際コミュニケーション学部, 准教授 2011 – 2014: 愛知大学, 国際コミュニケーション学部, 准教授 2009 – 2010: 早稲田大学, 高等研究所, 准教授 2008: 早稲田大学, 高等研究所, 客員准教授 … More 2007: Waseda University, 付置研究所, 准教授 2007: 早稲田大学, 高等研究所, 准教授 2002 – 2006: Sophia Univ., Department of Math., Assistant, 理工学部, 助手 2000 – 2001: 早稲田大学, 理工学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 虚数乗法論 / 虚数乗法 / 偏極 / 有理点 / モデュライ空間 / アーベル多様体 / 数論 / スペイン / 国際情報交換 Except Principal Investigator 整数論 … More / アルゴリズム / ガロア理論 / 代数学 / テータ関数 / アーベル多様体 / 多重ゼータ値 / cycle extension / period equation / Galois group / Lehmer project / cyclic polynomial / Gaussian period / Inverse Galois Problem / abelian equations / Kummer拡大 / ガウス和 / ヤコビ和 / cyclotomic numbers / アーベル方程式 / 巡回方程式 / 巡回拡大 / 周期方程式 / ガロア群 / Lehmerプロジェクト / 巡回多項式 / ガウス周期 / ガロアの逆問題 / アーベール方程式 / 幾何学 / ベクトル値保型形式 / 球関数 / Langlands予想 / 志村対応 / Harder予想 / モジュライ / 超特異 / 特殊関数 / 微分作用素 / 次元公式 / L関数 / ヤコービ形式 / 半整数ウェイト / ラングランズ予想 / 超特異アーベル多様体 / ホロノミー系 / ジーゲル保型形式 / セルバーグ跡公式 / 2次形式 / 跡公式 / ゼータ関数 / 保型形式 / チータ関数 / KP方程式 / データ関数 / 虚数乗法論 Less

Research on arithmetic of number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  角皆宏
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Sophia University
A computational research on number fields and coverings with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
A computational study on extensions of algebraic number fields with non-commutative Galois groups
- Principal Investigator
  
  TSUNOGAI Hiroshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants
- Principal Investigator
  
  IBUKIYAMA Tomoyoshi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
アーベル多様体及びその保型性と関連するアルゴリズムの数論的研究Principal Investigator
- Principal Investigator
  
  梅垣敦紀
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Waseda University
  Sophia University
虚数乗法論とKP方程式の関連について
- Principal Investigator
  
  村林直樹
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
代数曲線に関するアルゴリズムとアーベル多様体及びそのモデュライ空間の数論的研究Principal Investigator
- Principal Investigator
  
  梅垣敦紀
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Sophia University
Construction of abelian equations and study of Gaussian sums
- Principal Investigator
  
  HASHIMOTO Kiichiro
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Waseda University

All 2024 2020 2008 2003 2002

All Journal Article Presentation Book

[Book] 代数的整数論2003
- Author(s)
  J.ノイキルヒ著, 足立恒雄監修, 梅垣敦紀訳
- Total Pages
  585
- Publisher
  シュプリンガーフェアラーク東京
- Data Source
  KAKENHI-PROJECT-14740029
[Journal Article] 愛知大学情報メディアセンター紀要「COM」へのTeX投稿の試み2024
- Author(s)
  梅垣敦紀
- Journal Title
  
  愛知大学情報メディアセンター紀要「COM」
  
  Volume: 33-1
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03253
[Journal Article] Bicubic number fields with large class numbers2020
- Author(s)
  Yasuko Morita, Atsuki Umegaki and Yumiko Umegaki
- Journal Title
  
  Adv. Stud. Pure Math. "Various Aspects of Multiple Zeta Functions --- in honor of Professor Kohji Matsu moto's 60th birthday"
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03253
[Journal Article] Quartic fields with large class numbers2020
- Author(s)
  Atsuki UMEGAKI, Yumiko UMEGAKI
- Journal Title
  
  Rocky Mountain J. Math.
  
  Volume: 50 (1) Issue: 1
- DOI
  10.1216/rmj.2020.50.267
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03253
[Journal Article] Abel-Jacobiの定理2008
- Author(s)
  尾崎学, 梅垣敦紀
- Journal Title
  
  第15回整数論サマースクール報告集
  
  Pages: 81-112
- Data Source
  KAKENHI-PROJECT-17740024
[Journal Article] Abel-Jacobiの定理2008
- Author(s)
  尾崎学, 梅垣敦紀
- Journal Title
  
  第15回整数論サマースクール報告集
  
  Pages: 81-112
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] CM型の種数2の代数曲線とアーベル曲面2008
- Author(s)
  梅垣敦紀
- Journal Title
  
  第15回整数論サマースクール報告集
  
  Pages: 199-210
- Data Source
  KAKENHI-PROJECT-17740024
[Journal Article]2008
- Author(s)
  梅垣敦紀
- Journal Title
  
  第15回整数論サマースクール報告集
  
  Pages: 199-210
- Data Source
  KAKENHI-PROJECT-18540048
[Journal Article] Determination of all Q-rational CM-points in the moduli spaces of polarized abelian surfaces2002
- Author(s)
  UMEGAKI, Atsuki
- Journal Title
  
  Analytic Number Theory, Developments in Mathematics(C.Jia and K.Matsumoto(eds.)) 6
  
  Pages: 9-9
- Data Source
  KAKENHI-PROJECT-14740029
[Presentation] On the Moduli of Genus 2 Curves over Finite Fields2008
- Author(s)
  梅垣敦紀
- Organizer
  2008 NCTS Number Theory Day: Arithmeic of Curves
- Place of Presentation
  台湾国立清華大学
- Year and Date
  2008-12-08
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] On the Moduli of Genus 2 Curves over Finite Fields2008
- Author(s)
  Atsuki Umegaki
- Organizer
  2008 NCTS Number Theory Day : Arithmeic of Curves
- Place of Presentation
  台湾国立清華大学
- Year and Date
  2008-12-18
- Data Source
  KAKENHI-PROJECT-18540048
[Presentation] 有限体上の種数2の曲線の同型類について2008
- Author(s)
  梅垣敦紀
- Organizer
  研究集会「Galois理論とその周辺・徳島2008」
- Place of Presentation
  徳島大学
- Year and Date
  2008-09-09
- Data Source
  KAKENHI-PROJECT-18540048

1. TSUNOGAI Hiroshi (20267412)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. TSUZUKI Masao (80296946)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. KOMATSU Keiichi (80092550)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. RIKUNA Yuuichi (10434309)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. HOSHI Akinari (50434262)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. KOMATSU Tooru (10403974)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. GOMI Yasushi (50276515)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NAKASUJI Maki (30609871)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. 村林直樹 (80261676)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. 上野慶介 (10250911)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. 西村拓士 (90333947)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. IBUKIYAMA Tomoyoshi (60011722)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SAITO Kyoji (20012445)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. BANNAI Eiichi (10011652)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. WATANEBE Takao (30201198)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. NAGATOMO Kiyokazu (90172543)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. ODA Takayuki (10109415)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. NAGAOKA Shoyu (20164402)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. SUGANO Takashi (30183841)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. IKEDA Tamotsu (20211716)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. FURUSAWA Masaaki (50294525)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. KATSURADA Hidenori (80133792)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. MORIYAMA Tomonori (80384171)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. HASHIMOTO Kiichiro (90143370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

UMEGAKI Atsuki 梅垣 敦紀

梅垣 敦紀 ウメガキ アツキ

Research Projects

Research Products

Co-Researchers

Research on arithmetic of number fields and coverings with non-commutative Galois groups

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

A computational research on number fields and coverings with non-commutative Galois groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A computational study on extensions of algebraic number fields with non-commutative Galois groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Explicit Study of Automorphic Forms of Several Variables and Algebraic and Geometric Invariants

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

アーベル多様体及びその保型性と関連するアルゴリズムの数論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

虚数乗法論とKP方程式の関連について

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

代数曲線に関するアルゴリズムとアーベル多様体及びそのモデュライ空間の数論的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Construction of abelian equations and study of Gaussian sums

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Book] 代数的整数論2003

Author(s)

Total Pages

Publisher

Data Source

[Journal Article] 愛知大学情報メディアセンター紀要「COM」へのTeX投稿の試み2024

Author(s)

Journal Title

Data Source

[Journal Article] Bicubic number fields with large class numbers2020

Author(s)

Journal Title

Data Source

[Journal Article] Quartic fields with large class numbers2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Abel-Jacobiの定理2008

Author(s)

Journal Title

Data Source

[Journal Article] Abel-Jacobiの定理2008

Author(s)

Journal Title

Data Source

[Journal Article] CM型の種数2の代数曲線とアーベル曲面2008

UMEGAKI Atsuki 梅垣敦紀

梅垣敦紀ウメガキアツキ