Hiroki Aoki

Profile Information

Affiliation: Associate Professor, Faculty of Science and Technology, Department of Mathematics, Tokyo University of Science

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

Contact information: aoki_hirokima.noda.tus.ac.jp
J-GLOBAL ID: 200901056166744370
researchmap Member ID: 5000055958

External link: http://www.ma.noda.tus.ac.jp/u/ha/index.html

Research Interests

modular forms

Research Areas

Natural sciences / Algebra /

Research History

Apr, 2010

Associate Professor, Tokyo University of Scienece
Apr, 2003 - Mar, 2010

Lecturer (Jr. Assoc. Prof.), Tokyo University of Sience
Apr, 2002 - Mar, 2003

Reseach Assistant, Research Institute for Mathematical Sience, Kyoto University
Apr, 2000 - Mar, 2002

Reseach Associate, Ritumeikan University

Education

Committee Memberships

Jan, 2023 - Jan, 2023

Deputy representative, RIMS conference
Oct, 2022 - Nov, 2022

Organizer, 23rd Autumn Workshop on number theory
Oct, 2019 - Nov, 2019

Organizer, 22nd Autumn Workshop on number theory "Application of Arthur's multiplicity formula to Siegel modular forms"
Oct, 2019 - Nov, 2019

Organizer, 22nd Autumn Workshop on number theory "Application of Arthur's multiplicity formula to Siegel modular forms"
Apr, 2018 - Mar, 2019

Vice Chairman, Tokyo Journal of Mathematics
Apr, 2018 - Mar, 2019

学会理事等, Tokyo Journal of Mathematics
Nov, 2017 - Nov, 2017

Organizer, 3rd Japanese-German Number Theory Workshop
Nov, 2017 - Nov, 2017

Organizer, 3rd Japanese-German Number Theory Workshop
Nov, 2016 - Nov, 2016

Organizer, 19th Autumn Workshop on number theory 「Archimedean local theory of automorphic forms」
Nov, 2016 - Nov, 2016

Organizer, 19th Autumn Workshop on number theory 「Archimedean local theory of automorphic forms」
Aug, 2016 - Aug, 2016

Organizer, Summer School on number theory 2016 「p-adic families of modular froms」
Aug, 2016 - Aug, 2016

Organizer, Summer School on number theory 2016 「p-adic families of modular froms」
Apr, 2014 - Mar, 2016

Editor, Tokyo Journal of Mathematics
Apr, 2014 - Mar, 2016

Editor, Tokyo Journal of Mathematics
Nov, 2015 - Nov, 2015

Organizer, 18th Autumn Workshop on number theory 「Geometrical Applications of Modular Forms of Several Variables」
Nov, 2015 - Nov, 2015

Organizer, 18th Autumn Workshop on number theory 「Geometrical Applications of Modular Forms of Several Variables」
May, 2015 - May, 2015

Organizer, 2015 Joint Workshop: Geometry and Analysis @ Noda
May, 2015 - May, 2015

Organizer, 2015 Joint Workshop: Geometry and Analysis @ Noda
Nov, 2014 - Nov, 2014

Organizer, 17th Autumn Workshop on number theory 「Explicit theory of Jacobi forms and modular forms of several variables」
Nov, 2014 - Nov, 2014

Organizer, 17th Autumn Workshop on number theory 「Explicit theory of Jacobi forms and modular forms of several variables」

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-reviewed
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
On Siegel paramodular forms of degree 2 with small levels

Hiroki Aoki

INTERNATIONAL JOURNAL OF MATHEMATICS, 27(2), Feb, 2016 Peer-reviewed
On Formal Series of Jacobi Forms and Borcherds Products

Hiroki Aoki

AUTOMORPHIC FORMS: RESEARCH IN NUMBER THEORY FROM OMAN, 115(115) 1-10, 2014 Peer-reviewed
On Jacobi Forms with Levels

Aoki Hiroki

Number Theory - Arithmetic in Shangri-la (Proceedings of the 6th China-japan Seminar) Series on Number Theory and Its Applications vol.8, 1-16, Apr, 2013 Peer-reviewed
ON VECTOR VALUED SIEGEL MODULAR FORMS OF DEGREE 2 WITH SMALL LEVELS

Hiroki Aoki

OSAKA JOURNAL OF MATHEMATICS, 49(3) 625-651, Sep, 2012 Peer-reviewed
Estimate of the Dimensions of Mixed Weight Hilbert Modular Forms

Aoki Hiroki

COMMENTARII MATHEMATICI UNIVERSITATIS SANCTI PAULI, 57(1) 1-11, Sep, 2008 Peer-reviewed
Generalizations of Ho-Lee's binomial interest rate model I: From one- to multi-factor

Jirô Akahori, Hiroki Aoki, Yoshihiko Nagata

Asia-Pacific Financial Markets, 13(2) 151-179, Jun, 2006 Peer-reviewed
Estimate of the dimensions of Hilbert modular forms by means of differential operators

H Aoki

Automorphic Forms and Zeta Functions, 20-28, 2006 Peer-reviewed
Simple graded rings of Siegel modular forms, differential operators and Borcherds products

H Aoki, T Ibukiyama

INTERNATIONAL JOURNAL OF MATHEMATICS, 16(3) 249-279, Mar, 2005 Peer-reviewed
The graded ring of hermitian modular forms of degree 2

H Aoki

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 72 21-34, 2002 Peer-reviewed
Estimating Siegel modular forms of genus 2 using Jacobi forms

H Aoki

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 40(3) 581-588, Oct, 2000 Peer-reviewed
Automorphic forms on the expanded symmetric domain of type Ⅳ

Aoki Hiroki

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 35(2) 263-283, Jun, 1999 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

Presentations

「無限積＝無限和」型の公式と保型形式（第２話）

Aoki Hiroki

2023大分宮崎整数論研究集会, Sep 15, 2023
Infinite products and infinite sums on modular forms

Aoki Hiroki

Workshop : Algebraicity Problems in Geometry, Analysis, and Number Theory, Apr 4, 2023
ヤコビ形式の消滅次数について

Aoki Hiroki

第１回仙台保型形式小集会2022, Jan 22, 2022
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）

Aoki Hiroki

2020大分整数論研究集会, Oct 10, 2020
Formal series of Jacobi forms

Aoki Hiroki

Oberseminar Institut fuer Algebraische Geometrie, Leibniz Universitaet Hannover, Mar 12, 2020
ヤコビ形式の理論と応用

Aoki Hiroki

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, Mar 4, 2020
数学者が見ている数の世界

Aoki Hiroki

「サイエンス夢工房」公開講座, Dec 14, 2019
「無限積＝無限和」型の公式と保型形式

Aoki Hiroki

第１回大分数論研究集会, Aug 5, 2019
A short survey on elliptic modular forms (part of `Elliptic Artin groups II')

Aoki Hiroki

IPMU Special Seminar `Elliptic Artin groups I, II', Mar 31, 2019
On Maass lifts of weak Jacobi forms

Aoki Hiroki

Seminar on automorphic forms in Mannheim University, Jan 17, 2019
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

Aoki Hiroki

2018大分鹿児島整数論研究集会, Oct 6, 2018
弱ヤコビ形式のマースリフトについて

Aoki Hiroki

京都大学数論合同セミナー, May 18, 2018
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

Aoki Hiroki

Automorphic forms/representaions on covering groups, Mar 22, 2018
On the structures of mixed weight Hilbert modular forms on real quadratic fields

Aoki Hiroki

Workshop On Jacobi Forms and Applications, Mar 14, 2018
On mixed weight Hilbert modular forms and their structure theorem

Aoki Hiroki

保型形式の解析的・数論的研究, Jan 16, 2018
On the structure of mixed weight Hilbert modular forms

Aoki Hiroki

Seminar Aachen-Bonn-Koeln-Lille-Siegen on Automorphic Forms, Nov 22, 2017
ヤコビ形式の簡単な紹介

Aoki Hiroki

神楽坂代数セミナー, Jun 27, 2017
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

Aoki Hiroki

九大代数学セミナー, Jun 16, 2017
On the structure theorem for modular forms ... Igusa’s result and beyond

Aoki Hiroki

Local zeta functions and the arithmetic of moduli spaces: A conference in memory of Jun-Ichi Igusa, Mar 25, 2017
A remark on the structure of mixed weight Hilbert modular forms

Aoki Hiroki

Seminar on automorphic forms in Mannheim University, Dec 1, 2016

Profile Information

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Education

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