Hiroki Aoki

(青木宏樹)

Profile Information

Affiliation: Professor, Faculty of Science, Department of Mathematics, Gakushuin University

Degree: Doctor(Sience)(Kyoto University)
Master(Sience)(Kyoto University)

Contact information: aoki_hiroki_mathnifty.com
J-GLOBAL ID: 200901056166744370
researchmap Member ID: 5000055958

Research Interests

modular forms

Research Areas

Natural sciences / Algebra /

Research History

Apr, 2026 - Present

Professor, Faculty of Science, Gakushuin University
Apr, 2023 - Mar, 2026

Professor, Faculty of Science and Technology, Tokyo University of Science
Apr, 2022 - Mar, 2023

Professor, Faculty of Science and Technology, Tokyo University of Science
Apr, 2010 - Apr, 2022

Associate Professor, Faculty of Science and Technology, Tokyo University of Scienece
Apr, 2003 - Mar, 2010

Lecturer (Jr. Assoc. Prof.), Department of Science and Technology, Tokyo University of Sience

Education

Committee Memberships

Apr, 2025 - Apr, 2025

Organizers, Workshop
Jan, 2025 - Jan, 2025

Organizer, 2025 International workshop on mathematical science at TUS-Noda
Jan, 2024 - Jan, 2024

Chief Organizer, RIMS conference "Research on Automorphic forms"
Jan, 2024 - Jan, 2024

Organizer, 2024 International workshop on algebra at TUS-Noda
Jan, 2023 - Jan, 2023

Deputy representative, RIMS conference

Papers

On the upper bound of the orders of Jacobi forms

Hiroki Aoki

INTERNATIONAL JOURNAL OF MATHEMATICS, 33(8), Jun, 2022 Peer-reviewed
Generalization of the Weierstrass p function and Maass lifts of weak Jacobi forms

Hiroki Aoki

Pure and Applied Mathematics Quarterly, 16(3) 371-420, Nov, 2020 Peer-reviewed
Modular forms from the Weierstrass functions

Hiroki Aoki, Kyoji Saito

Pure and Applied Mathematics Quarterly, 16(4) 967-980, Nov, 2020 Peer-reviewedLead authorCorresponding author
The structure of mixed weight Hilbert modular forms

Hiroki Aoki, Sho Takemori

INTERNATIONAL JOURNAL OF MATHEMATICS, 30(2), Feb, 2019 Peer-reviewed
ON JACOBI FORMS OF REAL WEIGHTS AND INDICES

Hiroki Aoki

OSAKA JOURNAL OF MATHEMATICS, 54(3) 569-585, Jul, 2017 Peer-reviewed

Misc.

特集「有限群からその先へ」：「モジュラー群」

青木宏樹

数学セミナー（日本評論社）, 62(2023-3) 30-33, Feb, 2023
特集「楕円関数の味わい」：「楕円関数とヤコビ形式」

青木宏樹

数学セミナー（日本評論社）, 60(2021-10) 26-32, Sep, 2021
特集「保型形式を考えるその面白さと魅力」コラム「保型形式と微分作用素」

青木宏樹

数理科学（サイエンス社）, 692(2021-2) 46-47, Jan, 2021
書評伊吹山知義：保型形式特論（共立叢書現代数学の潮流）

青木宏樹

数学（日本数学会機関誌）, 72(1) 107-111, Jan, 2020
On mixed weight Hilbert modular forms and their structure theorem

Aoki Hiroki

数理解析研究所講究録, 2100 65-79, Jan, 2019
On mixed weight Hilbert modular forms and their structure theorem

Aoki Hiroki

数理解析研究所講究録, 2100 65-79, Jan, 2019
On Jacobi forms which connect infinite products and infinite sums

Aoki Hiroki

数理解析研究所講究録, 1965 30-44, Dec, 2015
On Jacobi forms which connect infinite products and infinite sums

Aoki Hiroki

数理解析研究所講究録, 1965 30-44, Dec, 2015
Determination of the structure of vector valued Siegel modular forms by using Jacobi forms

Aoki Hiroki

早稲田大学整数論研究集会2014報告集, 88-97, Mar, 2015
Determination of the structure of vector valued Siegel modular forms by using Jacobi forms

Aoki Hiroki

早稲田大学整数論研究集会2014報告集, 88-97, Mar, 2015
ヤコビ形式のインデックス - レベル変換について（N.-P.Skoruppa氏および坂田裕氏との共同研究）

Aoki Hiroki

早稲田大学整数論研究集会2012報告集, 66-77, Feb, 2013
Borcherds product

Aoki Hiroki

第19回整数論サマースクール報告集「保型形式のリフティング」, 212-241, Sep, 2012
Borcherds product

Aoki Hiroki

第19回整数論サマースクール報告集「保型形式のリフティング」, 212-241, Sep, 2012
A remark on Borcherds construction of Jacobi forms

Aoki Hiroki

第５回福岡数論研究集会報告集, 11-22, Aug, 2010
A remark on Borcherds construction of Jacobi forms

Aoki Hiroki

第５回福岡数論研究集会報告集, 11-22, Aug, 2010
Vector valued Siegel modular forms of degree 2 with small levels

Aoki Hiroki

数理解析研究所講究録, 1617 167-177, Oct, 2008
保型形式のなす環の構造について (On the ring structure of modular forms)

Aoki Hiroki

城西大学大学院理学研究科研究業績集（数学専攻） (Mathematical Bullet of the Graduate School of Science, Josai University), 10 70-82, Mar, 2008
On the ring structure of Siegel modular forms

Aoki Hiroki

Proceedings of the NPU-TUS Bilateral Seminar, 315-320, Sep, 2006
Practical Construction of Borcherds Product

Aoki Hiroki

第１回保型形式周辺分野スプリングコンファレンス報告集, 97-112, Feb, 2002
Practical Construction of Borcherds Product

Aoki Hiroki

第１回保型形式周辺分野スプリングコンファレンス報告集, 97-112, Feb, 2002
Estimating the dimension of the space of Siegel modular forms of genus 2 withe level 2 and 3

Aoki Hiroki

Proceedings of Japan-German seminar, Explicit Structure of Modular Forms and Zeta Functions (Hakuba, 2001), 101-106, Sep, 2001
Estimation of the dimension of modular forms by using Jacobi forms

Aoki Hiroki

Codes, Lattices, Modular forms and Vertex operator algebras, 48-52, Oct, 2000
New approach to dimension formula using Jacobi forms,

Aoki Hiroki

第３回整数論オータムワークショップ報告集, 93-108, Sep, 2000
New approach to dimension formula using Jacobi forms,

Aoki Hiroki

第３回整数論オータムワークショップ報告集, 93-108, Sep, 2000
Automorphic forms on the expanded symmetric domain of type IV

Aoki Hiroki

数理解析研究所講究録, 1103 8-14, Jun, 1999
Automorphic forms on the expanded symmetric domain of type IV

Aoki Hiroki

数理解析研究所講究録, 1103 8-14, Jun, 1999
An automorphic forms on the expanded symmetric domain of type IV (introductory talk)

Aoki Hiroki

数理解析研究所講究録, 1033 148-153, Apr, 1999

Books and Other Publications

特殊関数探訪（担当箇所：第５部内の「楕円関数とヤコビ形式」）

数学セミナー編集部[編]青木宏樹ほか26名[著] (Role: Joint author)

日本評論社, Sep 30, 2024 (ISBN: 9784535790193)

Presentations

101

Primes in the interval [kx; (k + 1)x]

Aoki Hiroki

Workshop on Jacobi Forms and Number Theory, Jul 17, 2025
Root systems and in nite product

Aoki Hiroki

2025 International Conference on Number Theory and Modular Forms, Jul 15, 2025
ボーチャーズのベクトル系とルート系

Aoki Hiroki

研究集会「楕円周期積分の広がり」, Apr 5, 2025
無限積によるヤコビ形式の構成とルート系

Aoki Hiroki

第４回仙台保型形式小集会, Feb 9, 2025
「無限積＝無限和」型の等式とある種のルート系の特徴づけ

青木宏樹

数論合同セミナー, Jan 24, 2025

Professional Memberships

Research Projects

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