Aoki Hiroki 青木宏樹

… Alternative Names

AOKI Hiroki 青木宏樹

青木宏樹アオキヒロキ

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Researcher Number	10333189
Other IDs
Affiliation (Current)	2025: 東京理科大学, 創域理工学部数理科学科, 教授
Affiliation (based on the past Project Information) *help	2023: 東京理科大学, 創域理工学部数理科学科, 教授 2022: 東京理科大学, 理工学部数学科, 教授 2016 – 2021: 東京理科大学, 理工学部数学科, 准教授 2017: 東京理科大学, 理工学部, 准教授 2013 – 2015: 東京理科大学, 理工学部, 准教授 2004 – 2009: 東京理科大学, 理工学部, 講師 2001: 立命館大学, 理工学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Geometry / Geometry
Keywords	Principal Investigator 保型形式 / ヤコビ形式 / 整数論 / モジュラー群 / 無限積 / ジーゲル保形形式 / 保形形式 / ジーゲル保型形式 / 数論 / ヒルベルト保型形式 / ドイツ / 国際情報交換 / 微分作用素 … More Except Principal Investigator … More 保型形式 / reflection group / 無限次元リー環 / 原始形式 / エータ関数 / 鏡映群 / semi-algebraic geometry / 保型形式の持ち上げ / 重さ半整数の保型形式 / ヤコビアイゼンシュタイン級数 / Ikeda-Miyawaki lift / Ikeda lift / 保型L関数 / ジーゲルアイゼンシュタイン級数 / ディリクレ級数 / マース関係式 / プラス空間 / マース空間 / ヤコビ形式 / ジーゲル保型形式 / エル関数 / コーネン・スコルッパ・山崎型ディリクレ級数 / 重さ半整数のコーネン・スコルッパ型ディリクレ級数 / ヤコビ形式のランキン・セルバーグ型ディリクレ級数 / ランキン・セルバーグ型ディリクレ級数 / medular forms / elliptic curves / modular forms / 保型形式環 / 楕円曲線 / partition function / discontinuous group / derived category / matrix factorization / Lie algebra / primitive forms / ルート系 / 組み紐群 / Hook length formula / コクセター変換 / 対数型微分形式 / エータ積 / 正規ウエイト系 / 基本群 / 対数的自由因子 / 三角圏 / 正規ウェイト系 / 極限集合 / 分配関数 / 不連続群 / 導来圏 / 行列分解 / リー環 / elliptic Lie algebra / flat structure / primitive form / braid group / elliptic root system / Peter-Weyl定理 / Bruhat分解 / 拡大アフィン・ルート系 / 周期写像 / フロベニウス多様体 / 周期積分 / ブロック代数 / 最高ウエイト表現 / 拡大ハイパボリックルート系 / 楕円Lie環 / highest weight表現 / 楕円リー環 / 平坦構造 / 原子形式 / ブレイド群 / 楕円ルート系 Less

Research on automorphic forms of several variablesPrincipal Investigator
- Principal Investigator
  
  青木宏樹
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo University of Science
Research of automorphic forms of several variables by Jacobi formsPrincipal Investigator
- Principal Investigator
  
  AOKI Hiroki
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo University of Science
Explicit and constructive research of automorphic forms of several variablesPrincipal Investigator
- Principal Investigator
  
  AOKI Hiroki
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Automorphic L-functions by using the generalized Maass relations
- Principal Investigator
  
  Hayashida Shuichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Joetsu University of Education
Research on automorphic forms of several variables by using Jacobi formsPrincipal Investigator
- Principal Investigator
  
  Aoki Hiroki
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
On the ring structure of automorphic forms and differential operatorsPrincipal Investigator
- Principal Investigator
  
  青木宏樹
- Project Period (FY)
  2008 – 2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
Study of modular forms and arithmefic variefiesStudy of modular forms and
- Principal Investigator
  
  HAMAHTA Yoshiori
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
The study of integrable systems and Lie algebras associated with the period maps for primitive forms
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  2004 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University
General study of modular forms and arithmetic varieties
- Principal Investigator
  
  HAMAHATA Yoshinori
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tokyo University of Science
The flag variety of elliptic Lie algebra and elliptic primitive automorphic forms
- Principal Investigator
  
  SAITO Kyoji
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Kyoto University

[Journal Article] 特集「有限群からその先へ」：「モジュラー群」2023
- Author(s)
  青木　宏樹
- Journal Title
  
  数学セミナー（日本評論社）
  
  Volume: 62 Pages: 30-33
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] On the upper bound of the orders of Jacobi forms2022
- Author(s)
  Aoki Hiroki
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 33 Issue: 08
- DOI
  10.1142/s0129167x22500562
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] 保型形式と微分作用素2021
- Author(s)
  青木宏樹
- Journal Title
  
  数理科学
  
  Volume: 692(2021-2) Pages: 46-47
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] 楕円関数とヤコビ形式2021
- Author(s)
  青木　宏樹
- Journal Title
  
  数学セミナー
  
  Volume: 720(2021-10) Pages: 26-32
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] Generalization of the Weierstrass p function and Maass lifts of weak Jacobi forms2020
- Author(s)
  Aoki Hiroki
- Journal Title
  
  Pure and Applied Mathematics Quarterly
  
  Volume: 16 Issue: 3 Pages: 371-420
- DOI
  10.4310/pamq.2020.v16.n3.a3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] Modular forms from the Weierstrass functions2020
- Author(s)
  Aoki Hiroki、Saito Kyoji
- Journal Title
  
  Pure and Applied Mathematics Quarterly
  
  Volume: 16 Issue: 4 Pages: 967-980
- DOI
  10.4310/pamq.2020.v16.n4.a2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03429, KAKENHI-PROJECT-18H01116
[Journal Article] 書評：伊吹山知義：保型形式特論（共立叢書　現代数学の潮流）2020
- Author(s)
  青木宏樹
- Journal Title
  
  数学
  
  Volume: 72-1 Pages: 107-111
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] サイエンスへの招待「数学者の見ている数の世界」2019
- Author(s)
  青木宏樹
- Journal Title
  
  理大科学フォーラム
  
  Volume: 411 Pages: 30-35
- NAID
  40021930822
- Data Source
  KAKENHI-PROJECT-19K03429
[Journal Article] The structure of mixed weight Hilbert modular forms2019
- Author(s)
  Aoki Hiroki、Takemori Sho
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 30 Issue: 02 Pages: 1950008-1950008
- DOI
  10.1142/s0129167x19500083
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05076
[Journal Article] On mixed weight Hilbert modular forms and their structure theorem2019
- Author(s)
  Aoki Hiroki
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 2100 Pages: 65-79
- Open Access
- Data Source
  KAKENHI-PROJECT-16K05076
[Journal Article] On Jacobi forms of real weights and indices2017
- Author(s)
  Hiroki Aoki
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 3 Pages: 569-585
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05076
[Journal Article] Estimate of the dimensions of mixed weight Hilbert modular forms2008
- Author(s)
  Aoki, H.
- Journal Title
  
  Commun.Math.(Univ. St. Pauli.) 57-1
  
  Pages: 1-11
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740024
[Journal Article] Vector valued Siegel modular forms with small levels, Automorphic Representations, Automorphic Forms, L-functions, and Related Topics (Kyoto, 2008)2008
- Author(s)
  Aoki, H.
- Journal Title
  
  数理解析研究所講究録 1617
  
  Pages: 167-177
- Data Source
  KAKENHI-PROJECT-20740024
[Journal Article] Estimate of the dimensions of mixed weight Hilbert modular forms2008
- Author(s)
  Aoki, H.
- Journal Title
  
  Commun. Math. Univ. St. Pauli 57-1
  
  Pages: 1-11
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740024
[Journal Article] Vector valued Siegel modular forms of degree 2 with small levels2008
- Author(s)
  Aoki, H
- Journal Title
  
  数理解析研究所講究録 16171
  
  Pages: 167-177
- Data Source
  KAKENHI-PROJECT-20740024
[Journal Article] Estimate of the dimensims of Hilbert modular forms by means of differential operators2006
- Author(s)
  H.Aoki
- Journal Title
  
  Proc. of Antomorphic Forms and Zeta Functions
  
  Pages: 20-28
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Estimate of the dimensions of Hilbert modular forms by means of differential operators2006
- Author(s)
  H.Aoki
- Journal Title
  
  Proc.of Automorphic Forms and Zeta Functions
  
  Pages: 20-28
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Estimate of the dimension of Hilbert modular forms by means of differential operator2006
- Author(s)
  Hiroki Aoki
- Journal Title
  
  Proceedings of the Conference in Memory of Tsuneo Arakawa
  
  Pages: 20-28
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Simple graded rings of siegel modular forms, differential operators and Borcherds products2005
- Author(s)
  H.Aoki, T.Ibukiyama
- Journal Title
  
  International J.Math. 16
  
  Pages: 249-279
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Simple graded rings of siegel modular forms, differential operators and borcherds products2005
- Author(s)
  H. Aoki and T. Ibukiyama
- Journal Title
  
  International Journal of Mathematics 16
  
  Pages: 249-279
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16340016
[Journal Article] Simple grnded rings of Siegel modular forms, differential operators and Borcherds products2005
- Author(s)
  H.Aoki, T.Ibukiyama
- Journal Title
  
  International J. Math. 16
  
  Pages: 249-279
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Simple graded rings of Siegel modular forms, Differential operators and Borcherds products2005
- Author(s)
  Hiroki Aoki
- Journal Title
  
  International Journal of Mathematics 16
  
  Pages: 249-279
- Data Source
  KAKENHI-PROJECT-16540042
[Journal Article] Ibukiyama, Simple graded rings of siegel modular forms, differential operators and borcherds products2005
- Author(s)
  H., Aoki, T
- Journal Title
  
  International Journal of Mathematics 16, No.3
  
  Pages: 249-279
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16340016
[Presentation] Generalization of Jacobi Triple Product Identity and Root Systems2024
- Author(s)
  Hiroki Aoki
- Organizer
  Commutative Algebra & Differential Equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] Generalization of Jacobi Triple Product Identity and Root Systems2024
- Author(s)
  Hiroki Aoki
- Organizer
  Commutative Algebra & Differential Equations
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03039
[Presentation] 「無限積＝無限和」型の公式と保型形式（第２話）2023
- Author(s)
  青木宏樹
- Organizer
  2023大分宮崎整数論研究集会
- Data Source
  KAKENHI-PROJECT-23K03039
[Presentation] Infinite products and infinite sums on modular forms2023
- Author(s)
  Hiroki Aoki
- Organizer
  Workshop : Algebraicity Problems in Geometry, Analysis, and Number Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03039
[Presentation] 「無限積＝無限和」型の公式と保型形式（第２話）2023
- Author(s)
  青木宏樹
- Organizer
  2023大分宮崎整数論研究集会
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] Infinite products and infinite sums on modular forms2023
- Author(s)
  Hiroki Aoki
- Organizer
  Workshop : Algebraicity Problems in Geometry, Analysis, and Number Theory
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] ヤコビ形式の消滅次数について2022
- Author(s)
  青木　宏樹
- Organizer
  第１回仙台保型形式小集会2022
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] ヤコビ形式の理論と応用2020
- Author(s)
  青木宏樹
- Organizer
  東北大学数理科学連携研究センターと東京理科大学総合研究院の連携研究協定ミーティング（東京理科大学）
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] Formal series of Jacobi forms2020
- Author(s)
  Hiroki Aoki
- Organizer
  Oberseminar Institut fuer Algebraische Geometrie, Leibniz Universitaet Hannover（ハノーファー大学・ドイツ）
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] ワイエルシュトラスの楕円関数から導かれる保型形式について（齋藤恭司氏との共同研究）2020
- Author(s)
  青木宏樹
- Organizer
  2020大分整数論研究集会
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] 数学者が見ている数の世界2019
- Author(s)
  青木宏樹
- Organizer
  「サイエンス夢工房」公開講座（東京理科大学）
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] On Maass lifts of weak Jacobi forms2019
- Author(s)
  Aoki Hiroki
- Organizer
  Seminar on automorphic forms in Mannheim University
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] A short survey on elliptic modular forms2019
- Author(s)
  Aoki Hiroki
- Organizer
  IPMU Special Seminar `Elliptic Artin groups I, II'
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] 「無限積＝無限和」型の公式と保型形式2019
- Author(s)
  青木宏樹
- Organizer
  第１回大分数論研究集会（大分大学）
- Data Source
  KAKENHI-PROJECT-19K03429
[Presentation] 混合重みヒルベルト保型形式の構成と全体構造の決定について2018
- Author(s)
  Hiroki Aoki
- Organizer
  Automorphic forms/representaions on covering groups
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] 弱ヤコビ形式のマースリフトについて2018
- Author(s)
  青木宏樹
- Organizer
  京都大学数論合同セミナー
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] ワイエルシュトラスのペー関数の一般化と弱ヤコビ形式のマースリフトについて2018
- Author(s)
  青木宏樹
- Organizer
  2018大分鹿児島整数論研究集会
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] On the structures of mixed weight Hilbert modular forms on real quadratic fields2018
- Author(s)
  Hiroki Aoki
- Organizer
  Workshop On Jacobi Forms and Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] On mixed weight Hilbert modular forms and their structure theorem2018
- Author(s)
  Hiroki Aoki
- Organizer
  保型形式の解析的・数論的研究
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] 簡単な代数学の知識だけで進むヒルベルト保型形式の話2017
- Author(s)
  Hiroki Aoki
- Organizer
  九大代数学セミナー
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] On the structure of mixed weight Hilbert modular forms2017
- Author(s)
  Hiroki Aoki
- Organizer
  Seminar Aachen-Bonn-Koeln-Lille-Siegen on Automorphic Forms
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] On the structure theorem for modular forms ... Igusa’s result and beyond2017
- Author(s)
  Hiroki Aoki
- Organizer
  Local zeta functions and the arithmetic of moduli spaces: A conference in memory of Jun-Ichi Igusa
- Place of Presentation
  ボルチモア（アメリカ）
- Invited
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] ヤコビ形式の簡単な紹介2017
- Author(s)
  Hiroki Aoki
- Organizer
  神楽坂代数セミナー
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] 実数重み・実数指数のヤコビ形式について2016
- Author(s)
  青木宏樹
- Organizer
  大阪大学整数論保型形式セミナー
- Place of Presentation
  大阪大学（大阪府・豊中市）
- Invited
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] A remark on the weights of Siegel modular forms2016
- Author(s)
  Hiroki Aoki
- Organizer
  30th Automorphic Forms Workshop
- Place of Presentation
  ウェイクフォレスト大学（ウインストンセーラム・アメリカ）
- Year and Date
  2016-03-10
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] ヤコビの三重積を保型形式の立場から見てみる2016
- Author(s)
  青木宏樹
- Organizer
  新潟代数セミナー
- Place of Presentation
  新潟大学（新潟県・新潟市）
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] On the structure of Hilbert modular forms with discriminant 52016
- Author(s)
  Hiroki Aoki
- Organizer
  Oberseminar Modulfunktionen (in Heidelberg University)
- Place of Presentation
  ハイデルベルク（ドイツ）
- Year and Date
  2016-11-20
- Invited
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] ヤコビ形式の無限積表示について2016
- Author(s)
  青木宏樹
- Organizer
  愛知数論セミナー
- Place of Presentation
  名古屋工業大学（愛知県・名古屋市）
- Invited
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] A remark on the structure of mixed weight Hilbert modular forms2016
- Author(s)
  Hiroki Aoki
- Organizer
  Seminar on automorphic forms in Mannheim University
- Place of Presentation
  マンハイム（ドイツ）
- Data Source
  KAKENHI-PROJECT-16K05076
[Presentation] A remark on the weights of modular forms2015
- Author(s)
  Hiroki Aoki
- Organizer
  Seminar on automorphic forms in Mannheim University
- Place of Presentation
  マンハイム大学（マンハイム・ドイツ）
- Year and Date
  2015-12-21
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] 「無限積＝無限和」の等式を与えるヤコビ形式について2015
- Author(s)
  青木宏樹
- Organizer
  東北大学組合せ論セミナー
- Place of Presentation
  東北大学（仙台）
- Year and Date
  2015-03-17
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] 分数重み、分数指数のヤコビ形式について2015
- Author(s)
  青木宏樹
- Organizer
  香川セミナー
- Place of Presentation
  香川大学（香川県）
- Year and Date
  2015-07-11
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] On the structure of mixed weight Hilbert modular forms2014
- Author(s)
  Hiroki Aoki
- Organizer
  Seminar on automorphic forms in Mannheim University
- Place of Presentation
  マンハイム大学（マンハイム・ドイツ）
- Year and Date
  2014-08-19
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] Structure theorem of the space of automorphic forms of several variables2014
- Author(s)
  Hiroki Aoki
- Organizer
  第１７回整数論オータムワークショップ
- Place of Presentation
  白馬ハイマウントホテル（長野県白馬村）
- Year and Date
  2014-11-06
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] Some Problems on Jacobi Forms2014
- Author(s)
  Hiroki Aoki
- Organizer
  Seminar on automorphic forms in Tongji University
- Place of Presentation
  同済大学（中国・上海）
- Year and Date
  2014-04-01
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] On Jacobi forms of rational weight and rational index2014
- Author(s)
  Hiroki Aoki
- Organizer
  28th Automorphic Forms Workshop
- Place of Presentation
  Moab, UTAH, USA
- Year and Date
  2014-05-15
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] On Jacobi forms which connect infinite products and infinite sums2014
- Author(s)
  Hiroki Aoki
- Organizer
  Representations, Vertex Operator Algebras, and Algebraic Combinatorics
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2014-12-17
- Invited
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] Estimation of the dimension of modular forms of several variables2014
- Author(s)
  Hiroki Aoki
- Organizer
  Oberseminar Modulfunktionen (in Heidelberg University)
- Place of Presentation
  ハイデルベルク大学（ハイデルベルク・ドイツ）
- Year and Date
  2014-08-21
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] Jacobi forms of rational weight and rational index2014
- Author(s)
  Hiroki Aoki
- Organizer
  Explicit Theory of Automorphic Forms
- Place of Presentation
  同済大学（中国・上海）
- Invited
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] Determination of the structure of vector valued Siegel modular forms by using Jacobi forms2014
- Author(s)
  Hiroki Aoki
- Organizer
  2014早稲田整数論研究集会
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] On Jacobi forms of fractional weight2013
- Author(s)
  Hiroki Aoki
- Organizer
  The 7th China-Japan Conference on number theory
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] On Maass lift to Siegel paramodular forms2013
- Author(s)
  Hiroki Aoki
- Organizer
  Workshop on Modular Forms and Jacobi Forms
- Place of Presentation
  上越教育大学
- Data Source
  KAKENHI-PROJECT-25400024
[Presentation] ヤコビの三重積公式について; Borcherds無限積について(1)(2)2010
- Author(s)
  Aoki, H.
- Organizer
  熊本大学プロジェクトゼミナール
- Place of Presentation
  熊本大学
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On the Jacobi triple product2010
- Author(s)
  Aoki, H.
- Organizer
  Seminar at IPMU
- Place of Presentation
  東京大学(数物連携宇宙研究機構)
- Year and Date
  2010-02-11
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On the Jacobi triple product2010
- Author(s)
  Aoki,H.
- Organizer
  Seminar at IPMU
- Place of Presentation
  数物連携宇宙研究機構(東京大学)
- Year and Date
  2010-02-11
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On the image of Fourier-Jacobi expansion2010
- Author(s)
  Aoki,H.
- Organizer
  24th Automorphic Forms Workshop
- Place of Presentation
  ハワイ大学(アメリカ)
- Year and Date
  2010-03-21
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] Jacobiの三重積公式について2010
- Author(s)
  Aoki, H.
- Organizer
  学習院大学土曜セミナー
- Place of Presentation
  学習院大学
- Year and Date
  2010-01-29
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] 「ヤコビの三重積公式について」(22日)「Borcherds無限積について(1)」(23日)「Borcherds無限積について(2)」(24日)2010
- Author(s)
  Aoki,H.
- Organizer
  熊本大学プロジェクトゼミナール「現代数学ゼミナール講演会」
- Place of Presentation
  熊本大学
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On the convergence of Fourier-Jacobi expansion2010
- Author(s)
  Aoki, H.
- Organizer
  Geometry of lattices and infinite dimensional Lie algebras
- Place of Presentation
  東京大学(数物連携宇宙研究機構)
- Year and Date
  2010-03-27
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On the convergence of Fourier-Jacobi expansion2010
- Author(s)
  Aoki,H.
- Organizer
  Geometry of lattices and infinite dimensional Liealgebras
- Place of Presentation
  数物連携宇宙研究機構(東京大学)
- Year and Date
  2010-03-17
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On the image of Fourier-Jacobi expansion2010
- Author(s)
  Aoki, H.
- Organizer
  24th Automorphic Forms Workshop, University of Hawaii at Manoa
- Place of Presentation
  Honolulu, HI, USA.
- Year and Date
  2010-03-21
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] Formal series of Jacobi forms and Maass lifts of weak Jacobi forms2009
- Author(s)
  Aoki, H.
- Organizer
  奈良女子大学数論研究会
- Place of Presentation
  奈良女子大学
- Year and Date
  2009-11-10
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] Formal series of Jacobi forms2009
- Author(s)
  Aoki, H.
- Organizer
  第12回整数論オータムワークショップ
- Place of Presentation
  白馬
- Year and Date
  2009-09-08
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] About the convergence of formal series of Jacobi forms2009
- Author(s)
  Aoki,H.
- Organizer
  Mathematisches Kolloquim
- Place of Presentation
  ジーゲン大学(ドイツ)
- Year and Date
  2009-12-07
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] フーリエ・ヤコビ展開の収束性とボーチャーズ無限積2009
- Author(s)
  Aoki, H.
- Organizer
  東京理科大学理工学部数学科談話会
- Place of Presentation
  東京理科大学
- Year and Date
  2009-09-18
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] About the convergence of formal series of Jacobi forms2009
- Author(s)
  Aoki, H.
- Organizer
  Mathematisches Kolloquim
- Place of Presentation
  Uni. Siegen (Germany)
- Year and Date
  2009-12-07
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] 形式的なフーリエ・ヤコビ展開の収束性について2009
- Author(s)
  Aoki, H.
- Organizer
  早稲田整数論セミナー
- Place of Presentation
  早稲田大学
- Year and Date
  2009-06-05
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] ヤコビ形式に関する諸結果の紹介-保型形式の具体的な構成という観点から2009
- Author(s)
  Aoki, H.
- Organizer
  学習院大学土曜セミナー
- Place of Presentation
  学習院大学
- Year and Date
  2009-07-04
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] On vector valued Siegel modular forms2008
- Author(s)
  Aoki, H.
- Organizer
  Seminar AKLS on Automorphic forms
- Place of Presentation
  Siegen大学(ドイツ)
- Year and Date
  2008-06-18
- Data Source
  KAKENHI-PROJECT-20740024
[Presentation] modular forms, Seminar Aachen-Koeln-Lille-Siegen on Automorphic Forms2008
- Author(s)
  Aoki, H.
- Place of Presentation
  Uni. Siegen (Germany)
- Year and Date
  2008-06-18
- Data Source
  KAKENHI-PROJECT-20740024

1. Hayashida Shuichi (80597766)

# of Collaborated Projects: 3 results

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

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. HAMAHATA Yoshinori (90260645)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
4. AGOH Takashi (60112893)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. HOSOH Toshio (30130339)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. TAKAHASHI Atsushi (50314290)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. TERAO Hiroaki (90119058)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. OKA Matsuo (40011697)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. GOTO Takeshi (20366438)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 松尾厚 (20238968)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. MORI Shigehumi (00093328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. KASHIWARA Masaki (60027381)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MUKAI Shigeru (80115641)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SAITO Morihiko (10186968)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. SUWA Tatsuo (40109418)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. HACHIMORI Yoshitaka (50433743)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. HELMKE Stefan (40293972)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. Sakata Hiroshi

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Aoki Hiroki 青木 宏樹

AOKI Hiroki 青木 宏樹

青木 宏樹 アオキ ヒロキ

Research Projects

Research Products

Co-Researchers

Research on automorphic forms of several variablesPrincipal Investigator

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Research of automorphic forms of several variables by Jacobi formsPrincipal Investigator

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Review Section

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Explicit and constructive research of automorphic forms of several variablesPrincipal Investigator

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Automorphic L-functions by using the generalized Maass relations

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Research on automorphic forms of several variables by using Jacobi formsPrincipal Investigator

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On the ring structure of automorphic forms and differential operatorsPrincipal Investigator

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Study of modular forms and arithmefic variefiesStudy of modular forms and

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The study of integrable systems and Lie algebras associated with the period maps for primitive forms

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General study of modular forms and arithmetic varieties

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The flag variety of elliptic Lie algebra and elliptic primitive automorphic forms

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[Journal Article] 特集「有限群からその先へ」：「モジュラー群」2023

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[Journal Article] On the upper bound of the orders of Jacobi forms2022

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[Journal Article] 保型形式と微分作用素2021

Author(s)

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Data Source

[Journal Article] 楕円関数とヤコビ形式2021

Aoki Hiroki 青木宏樹

AOKI Hiroki 青木宏樹

青木宏樹アオキヒロキ

[Journal Article] 書評：伊吹山知義：保型形式特論（共立叢書　現代数学の潮流）2020