OTA Kazuto 太田和惟

Researcher Number	70770775
Other IDs
Affiliation (Current)	2025: 大阪大学, 大学院理学研究科, 准教授
Affiliation (based on the past Project Information) *help	2022 – 2025: 大阪大学, 大学院理学研究科, 准教授 2020 – 2021: 大阪大学, 理学研究科, 准教授 2019: 慶應義塾大学, 理工学部(矢上), 特任助教 2018: 慶應義塾大学, 理工学部(矢上), 特別研究員(PD) 2017: 慶應義塾大学, 理工学部(矢上), 特任助教 2017: 慶応大学, 理工学部, 特任助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields
Keywords	Principal Investigator 保型形式 / CM楕円曲線 / 岩澤理論 / セルマー群 / L関数 / Tate-Shafarevich群 / 反円分拡大 / Hilbert保型形式 / Hirzebruch-Zagierサイクル / p新L関数 … More / 楕円保型形式 / オイラー系 / 志村曲線 / モジュラー形式 / 楕円曲線 / p進L関数 … More Except Principal Investigator L-関数 / 整数論 / L関数の特殊値 / p進L関数 / 保型形式 / BSD予想 / 岩澤理論 / Bloch-Kato予想 / 数論幾何学 / 数論幾何 / L-関数の特殊値 / 虚数乗法 / ガロワ表現 / 楕円曲線 / p-進L関数 / Heegner cycle / L関数 / p進高さ関数 / p進L-関数 / Heegerサイクル / Gross-Zagier公式 / 代数学 / p進 / 代数的整数論 / 実乗法 / 代数 / Hodge構造 / ポリロガリズム / 総実体 / モチーフ Less

ガロワ表現の変形族とセルマー群Principal Investigator
- Principal Investigator
  
  太田和惟
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  The University of Osaka
New developments in the anticyclotomic Iwasawa theory and special value formulas on L-functions
- Principal Investigator
  
  小林真一
- Project Period (FY)
  2022 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kyushu University
保型形式に付随する L 関数の特殊値と数論的不変量のp進的研究Principal Investigator
- Principal Investigator
  
  太田和惟
- Project Period (FY)
  2021 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Osaka University
Hirzebruch-Zagier cycles and p-adic L-functionsPrincipal Investigator
- Principal Investigator
  
  Ota Kazuto
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
  Keio University
A research on a new symmetry on motive with real multiplication
- Principal Investigator
  
  kobayashi shinichi
- Project Period (FY)
  2016 – 2017
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
A p-adic approach to the special value formula of L-functions
- Principal Investigator
  
  Kobayashi Shinichi
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
  Tohoku University

All 2024 2023 2022 2021 2020 2019 2018 2017

All Journal Article Presentation

[Journal Article] <i>p</i>-ADIC <i>L</i>-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES2023
- Author(s)
  Burungale Ashay A.、Kobayashi Shinichi、Ota Kazuto
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: Published online Issue: 3 Pages: 1-44
- DOI
  10.1017/s147474802300021x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13774
[Journal Article] On the quantitative variation of congruence ideals and integral periods of modular forms2023
- Author(s)
  Kim Chan-Ho、Ota Kazuto
- Journal Title
  
  Research in the Mathematical Sciences
  
  Volume: 10 Issue: 2
- DOI
  10.1007/s40687-023-00387-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13774
[Journal Article] p-ADIC L-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIME2023
- Author(s)
  A. Burungale, S. Kobayashi, K. Ota
- Journal Title
  
  Journal of the Institute of Mathematics of Jussieu
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22H00096
[Journal Article] On the rank-part of the Mazur?Tate refined conjecture for higher weight modular forms2022
- Author(s)
  Ota Kazuto
- Journal Title
  
  Annales de l'Institut Fourier
  
  Volume: Online first Issue: 3 Pages: 1-46
- DOI
  10.5802/aif.3557
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K13774
[Journal Article] Rubin's conjecture on local units in the anticyclotomic tower at inert primes2021
- Author(s)
  Burungale Ashay、Kobayashi Shinichi、Ota Kazuto
- Journal Title
  
  Annals of Mathematics
  
  Volume: 194 Issue: 3 Pages: 943-966
- DOI
  10.4007/annals.2021.194.3.8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14173, KAKENHI-PROJECT-21K13774
[Journal Article] Kato's Euler system and the Mazur-Tate refined conjecture of BSD type2018
- Author(s)
  Kazuto Ota
- Journal Title
  
  American Journal of Mathematics
  
  Volume: 140 Issue: 2 Pages: 495-542
- DOI
  10.1353/ajm.2018.0012
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] p進L関数と有理点の関係について2024
- Author(s)
  太田和惟
- Organizer
  信州整数論小研究集会
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] 反円分拡大におけるCM楕円曲線のTate-Shafarevich 群の漸近挙動2023
- Author(s)
  太田和惟
- Organizer
  杉本代数セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] 反円分拡大におけるCM楕円曲線のTate-Shafarevich 群の漸近挙動2023
- Author(s)
  太田和惟
- Organizer
  杉本代数セミナー　大阪公立大学
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] 惰性的素数におけるCM楕円曲線の反円分変形に対するイプシロン予想2023
- Author(s)
  太田和惟
- Organizer
  名古屋数論幾何集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] Tate-Shafarevich groups of CM elliptic curves in anticylotomic extensions at inert primes2023
- Author(s)
  太田和惟
- Organizer
  Number Theory Seminar (University of Texas at Austin)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] Tate-Shafarevich groups of CM elliptic curves in anticylotomic extensions at inert primes2023
- Author(s)
  太田和惟
- Organizer
  Number Theory Seminar (University of Texas at Austin)
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] On Kato’s epsilon conjecture for anticyclotomic CM deformations at inert primes2022
- Author(s)
  Kazuto Ota
- Organizer
  Elliptic Curves and The Special Values of L-functions, ICTS
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] On Kato’s epsilon conjecture for anticyclotomic CM deformations at inert primes2022
- Author(s)
  Kazuto Ota
- Organizer
  ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] CM楕円曲線の反円分岩澤理論2022
- Author(s)
  太田和惟
- Organizer
  大阪大学談話会
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] On Iwasawa theory for CM elliptic curves at inert primes2022
- Author(s)
  Kazuto Ota
- Organizer
  UCD Algebra and Number Theory Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] 惰性的素数におけるCM楕円曲線の反円分岩澤理論2022
- Author(s)
  太田和惟
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-22H00096
[Presentation] On Iwasawa theory for CM elliptic curves at inert primes2022
- Author(s)
  Kazuto Ota
- Organizer
  UCD Algebra and Number Theory Seminar
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] 惰性的素数におけるCM楕円曲線の反円分岩澤理論2022
- Author(s)
  太田和惟
- Organizer
  第67回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-21K13774
[Presentation] On Iwasawa theory for CM elliptic curves at inert primes2021
- Author(s)
  太田和惟
- Organizer
  Seminar on Geometry and Arithmetic
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] Big Heegner 点と Heegner サイクル2020
- Author(s)
  太田和惟
- Organizer
  津田塾大学整数論ワークショップ 2020
- Invited
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] On the quantitative variation of congruence ideals of modular forms II2019
- Author(s)
  太田和惟
- Organizer
  九大代数学セミナー
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] 楕円保型形式に対する反円分岩澤主予想2019
- Author(s)
  太田和惟
- Organizer
  2019早稲田整数論研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] 楕円保型形式に対する反円分岩澤主予想2018
- Author(s)
  太田和惟
- Organizer
  慶應義塾大学代数セミナー
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] Anticyclotomic Iwasawa main conjecture for modular forms2018
- Author(s)
  太田和惟
- Organizer
  第17回仙台広島整数論集会
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] On the anticyclotomic Iwasawa main conjecture for modular forms2018
- Author(s)
  Kazuto Ota
- Organizer
  UK-Japan Winter School 2018 on Number Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] Anticyclotomic Iwasawa main conjecture for modular forms2018
- Author(s)
  Kazuto Ota
- Organizer
  Keio-Yonsei Number Theory Workshop
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] On the Mazur-Tate refined conjecture for modular forms2018
- Author(s)
  Kazuto Ota
- Organizer
  KIAS Number theory seminar 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] On the rank-part of the Mazur-Tate refined conjecture for modular forms2018
- Author(s)
  太田和惟
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] On the Mazur-Tate refined conjecture for modular forms2017
- Author(s)
  Kazuto Ota
- Organizer
  Workshop on p-adic L-functions and algebraic cycles
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] On the Mazur-Tate refined conjecture for modular forms2017
- Author(s)
  Kazuto Ota
- Organizer
  Iwasawa 2017 (poster session)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K14173
[Presentation] Anticyclotomic Iwasawa main conjecture for modular forms2017
- Author(s)
  太田和惟
- Organizer
  代数的整数論とその周辺2017
- Data Source
  KAKENHI-PROJECT-17K14173

1. kobayashi shinichi (80362226)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
2. 安田正大 (90346065)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. HAGIHAEA Kei (30512173)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. 山本修司 (20635370)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. 坂内健一 (90343201)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. 千田雅隆 (00451518)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
7. 大坪紀之 (60332566)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
8. 中村健太郎 (90595993)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. 山名俊介 (50633301)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. YAMADA Kazuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

OTA Kazuto 太田 和惟

Research Projects

Research Products

Co-Researchers

ガロワ表現の変形族とセルマー群Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

New developments in the anticyclotomic Iwasawa theory and special value formulas on L-functions

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

保型形式に付随する L 関数の特殊値と数論的不変量のp進的研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Hirzebruch-Zagier cycles and p-adic L-functionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A research on a new symmetry on motive with real multiplication

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A p-adic approach to the special value formula of L-functions

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] <i>p</i>-ADIC <i>L</i>-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIMES2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the quantitative variation of congruence ideals and integral periods of modular forms2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] p-ADIC L-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIME2023

Author(s)

Journal Title

Data Source

[Journal Article] On the rank-part of the Mazur?Tate refined conjecture for higher weight modular forms2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Rubin's conjecture on local units in the anticyclotomic tower at inert primes2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Kato's Euler system and the Mazur-Tate refined conjecture of BSD type2018

Author(s)

Journal Title

DOI

Data Source

[Presentation] p進L関数と有理点の関係について2024

Author(s)

Organizer

Data Source

[Presentation] 反円分拡大におけるCM楕円曲線のTate-Shafarevich 群の漸近挙動2023

Author(s)

Organizer

Data Source

[Presentation] 反円分拡大におけるCM楕円曲線のTate-Shafarevich 群の漸近挙動2023

Author(s)

Organizer

OTA Kazuto 太田和惟