Arai Keisuke 新井啓介

… Alternative Names

ARAI Keisuke 新井啓介

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Researcher Number	80422393
Affiliation (Current)	2025: 東京電機大学, 未来科学部, 教授
Affiliation (based on the past Project Information) *help	2020 – 2023: 東京電機大学, 未来科学部, 教授 2015 – 2019: 東京電機大学, 未来科学部, 准教授 2014: 慶應義塾大学, 理工学部, 特任助教 2013 – 2014: 東京電機大学, 工学部, 助教
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator モジュライ / 有理点 / 志村曲線 / ガロア表現 / アーベル多様体 / モジュライ空間 / 大域体 / D-elliptic sheaf / 有理点問題 / ハッセ原理 … More / ＱＭアーベル曲面 / 自己準同型環 / 指標 / アーベル多様体の非存在 … More Except Principal Investigator 国際研究者交流 / 虚数情報 / ドイツ / 国際情報交換 / 混合層 / L関数 / Eisenstein類 / 整数論 / p進Beilinson予想 / p進L関数 / ポリログ / Hecke指標 / 虚数乗法 / 楕円曲線 Less

Research on rational points on moduli spaces over global fieldsPrincipal Investigator
- Principal Investigator
  
  新井啓介
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tokyo Denki University
Research on Galois representations and applications to rational pointsPrincipal Investigator
- Principal Investigator
  
  Arai Keisuke
- Project Period (FY)
  2016 – 2021
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Denki University
Research on rational points on moduli of abelian varieties and related topicsPrincipal Investigator
- Principal Investigator
  
  Arai Keisuke
- Project Period (FY)
  2013 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Tokyo Denki University
Strategic Research to solve certain conjectures in Arithmetic Geometry
- Principal Investigator
  
  BANNAI Kenichi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (S)
- Research Field
  
  Algebra
- Research Institution
  Keio University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 Other

All Journal Article Presentation Book

[Book] 第12回北陸数論研究集会報告集2014
- Author(s)
  新井啓介、加川貴章、筒石奈央、横山俊一、Ken Ono、高島克幸、鍬田政人、松野一夫、青木昇、山村健
- Total Pages
  137
- Publisher
  不明
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] 代数曲線の有理点入門とサマースクールの概説2023
- Author(s)
  新井啓介
- Journal Title
  
  2021年度(第28回)整数論サマースクール報告集「モジュラー曲線と数論」
  
  Volume: - Pages: 1-12
- Open Access
- Data Source
  KAKENHI-PROJECT-21K03187
[Journal Article] Points on Shimura curves rational over imaginary quadratic fields in the non-split case2023
- Author(s)
  Keisuke Arai
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: - Issue: 4
- DOI
  10.1007/s00209-023-03377-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03187
[Journal Article] 志村曲線およびその関数体類似の有理点について2020
- Author(s)
  新井啓介
- Journal Title
  
  第64回代数学シンポジウム報告集
  
  Volume: - Pages: 1-13
- Data Source
  KAKENHI-PROJECT-16K17578
[Journal Article] A survey of rational points on Shimura curves2019
- Author(s)
  Keisuke Arai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B72 Pages: 197-207
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17578
[Journal Article] 志村曲線の虚$2$次体上の有理点について2019
- Author(s)
  新井啓介
- Journal Title
  
  第１２回福岡数論研究集会報告集
  
  Volume: - Pages: 79-86
- Data Source
  KAKENHI-PROJECT-16K17578
[Journal Article] Rational points on Shimura curves and the Manin obstruction2018
- Author(s)
  Keisuke Arai
- Journal Title
  
  Nagoya Mathematical Journal
  
  Volume: 230 Pages: 144-159
- DOI
  10.1017/nmj.2017.6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17578
[Journal Article] A note on algebraic points on Shimura curves2018
- Author(s)
  Keisuke Arai
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 701 Pages: 9-15
- DOI
  10.1090/conm/701/14147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K17578
[Journal Article] A survey of rational points on Shimura curves2017
- Author(s)
  Keisuke Arai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K17578
[Journal Article] Algebraic points on Shimura curves of $\Gamma_0(p)$-type (III)2016
- Author(s)
  Keisuke Arai
- Journal Title
  
  The Ramanujan Journal
  
  Volume: - Issue: 1 Pages: 15-28
- DOI
  10.1007/s11139-015-9766-9
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025, KAKENHI-PROJECT-16K17578
[Journal Article] A note on algebraic points on Shimura curves2016
- Author(s)
  Keisuke Arai
- Journal Title
  
  The proceedings of the Barcelona-Boston-Tokyo Number Theory Seminar in Memory of Fumiyuki Momose
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] Non-existence of points rational over number fields on Shimura curves2016
- Author(s)
  Keisuke Arai
- Journal Title
  
  Acta Arithmetica
  
  Volume: 172 Pages: 243-250
- DOI
  10.4064/aa8071-10-2015
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II)2016
- Author(s)
  Keisuke Arai
- Journal Title
  
  Manuscripta Mathematica
  
  Volume: 149 Issue: 1-2 Pages: 63-70
- DOI
  10.1007/s00229-015-0770-6
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] Algebraic points on Shimura curves of $\Gamma_0(p)$-type (IV)2015
- Author(s)
  Keisuke Arai
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] An effective bound of $p$ for algebraic points on Shimura curves of $\Gamma_0(p)$-type2014
- Author(s)
  Keisuke Arai
- Journal Title
  
  Acta Arithmetica
  
  Volume: 164 Issue: 4 Pages: 343-353
- DOI
  10.4064/aa164-4-2
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] Algebraic points on Shimura curves of $\Gamma_0(p)$-type2014
- Author(s)
  Keisuke Arai and Fumiyuki Momose
- Journal Title
  
  Journal fur die reine und angewandte Mathematik
  
  Volume: 690 Issue: 690 Pages: 179-202
- DOI
  10.1515/crelle-2012-0068
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25800025
[Journal Article] On the Rasmussen-Tamagawa conjecture for QM-abelian surfaces2013
- Author(s)
  Keisuke Arai
- Journal Title
  
  RIMS K\^{o}ky\^{u}roku Bessatsu
  
  Volume: B44 Pages: 185-196
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] Drinfeld-Stuhler曲線とHasse原理の反例の無限族について2024
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2023
- Invited
- Data Source
  KAKENHI-PROJECT-21K03187
[Presentation] 有限体上のアーベル多様体がQMをもつ必要十分条件について2023
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2022
- Data Source
  KAKENHI-PROJECT-21K03187
[Presentation] Drinfeld-Stuhler curveの2次の関数体上の有理点について2022
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2021
- Invited
- Data Source
  KAKENHI-PROJECT-21K03187
[Presentation] Drinfeld-Stuhler curveの2次の関数体上の有理点について2022
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2021
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] QMアーベル多様体の非存在および志村曲線の有理点について2021
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2020
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 代数曲線の有理点入門とサマースクールの概説2021
- Author(s)
  新井啓介
- Organizer
  2021年度（第28回）整数論サマースクール「モジュラー曲線と数論」
- Data Source
  KAKENHI-PROJECT-21K03187
[Presentation] 代数曲線の有理点入門とサマースクールの概説2021
- Author(s)
  新井啓介
- Organizer
  2021年度（第28回）整数論サマースクール「モジュラー曲線と数論」
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Points on Shimura curves rational over imaginary quadratic fields in the non-split case2019
- Author(s)
  Keisuke Arai
- Organizer
  Journees Arithmetiques XXXI
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線およびその関数体類似の有理点の非存在について2019
- Author(s)
  新井啓介
- Organizer
  等々力整数論セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線およびその関数体類似の有理点について2019
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2018
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線およびその関数体類似の有理点について2019
- Author(s)
  新井啓介
- Organizer
  第64回代数学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Non-existence of rational points on Shimura curves and its function field analogue2019
- Author(s)
  Keisuke Arai
- Organizer
  The 8th East Asia Number Theory Conference
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Non-existence of rational points on Shimura curves and its function field analogue2019
- Author(s)
  Keisuke Arai
- Organizer
  Seminars and Colloquia
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Rational points on Shimura curves2018
- Author(s)
  Keisuke Arai
- Organizer
  Laboratory of algebraic geometry: weekly seminar
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線の虚2次体上の有理点について2018
- Author(s)
  新井啓介
- Organizer
  第１２回福岡数論研究集会
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 有理点問題および志村曲線の有理点について2018
- Author(s)
  新井啓介
- Organizer
  談話会（名城大学）
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線の虚2次体上の有理点について2018
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2017
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Rational points on Shimura curves2018
- Author(s)
  Keisuke Arai
- Organizer
  Colloquium at Sophia
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Points on Shimura curves rational over imaginary quadratic fields in the non-split case2018
- Author(s)
  Keisuke Arai
- Organizer
  Arithmetic and geometry of local and global fields
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] アーベル多様体およびそのモジュライの数論的性質に関する研究2017
- Author(s)
  新井啓介
- Organizer
  東京電機大学総合研究所研究成果発表会
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] An infinite family of counterexamples to the Hasse principle for Shimura curves2017
- Author(s)
  Keisuke Arai
- Organizer
  NCTS Number Theory Seminar
- Place of Presentation
  清華大学(台湾)
- Year and Date
  2017-03-22
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線の有理点とハッセ原理の反例の無限族2017
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2016
- Place of Presentation
  山岸園(静岡県伊東市)
- Year and Date
  2017-03-14
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] 志村曲線の有理点とハッセ原理の反例の無限族2017
- Author(s)
  新井啓介
- Organizer
  東工大数論・幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Rational points on Shimura curves and counterexamples to the Hasse principle2017
- Author(s)
  Keisuke Arai
- Organizer
  AIMS-Stellenbosch Number Theory Conference 2017
- Place of Presentation
  University of Stellenbosch (南アフリカ共和国)
- Year and Date
  2017-01-16
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Non-existence of rational points on Shimura curves in several cases2016
- Author(s)
  Keisuke Arai
- Organizer
  Hakodate workshop on arithmetic geometry 2016
- Place of Presentation
  函館アリーナ(北海道函館市)
- Year and Date
  2016-05-30
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] ディオファントス問題と志村曲線の有理点2016
- Author(s)
  新井啓介
- Organizer
  第１０回福岡数論研究集会
- Place of Presentation
  九州大学(福岡県福岡市)
- Year and Date
  2016-08-09
- Data Source
  KAKENHI-PROJECT-16K17578
[Presentation] Various criterions for non-existence of rational points on Shimura curves2016
- Author(s)
  Keisuke Arai
- Organizer
  2016 Korea-Japan Joint Number theory Seminar
- Place of Presentation
  POSTECH (韓国)
- Year and Date
  2016-02-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] モジュラー曲線の商の有理点について2016
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2015
- Place of Presentation
  湯河原温泉ホテルあかね (神奈川県足柄下郡湯河原町)
- Year and Date
  2016-03-09
- Invited
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] モジュラー曲線及び志村曲線のレベルと有理点について2015
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2014
- Place of Presentation
  ハートピア熱海（静岡県・熱海市）
- Year and Date
  2015-02-26
- Invited
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 虚2次体が4元数体を分解しない場合の志村曲線の有理点について2015
- Author(s)
  新井啓介
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  京都大学 (京都府京都市)
- Year and Date
  2015-12-01
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] Points on Shimura curves rational over imaginary quadratic fields in the non-split case2015
- Author(s)
  Keisuke Arai
- Organizer
  29th Journees Arithmetiques
- Place of Presentation
  University of Debrecen (ハンガリー)
- Year and Date
  2015-07-06
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 代数体の無限族と$\Gamma_0(p)$型志村曲線の有理点2014
- Author(s)
  新井啓介
- Organizer
  第13回仙台広島整数論集会
- Place of Presentation
  東北大学（宮城県・仙台市）
- Year and Date
  2014-07-18
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 志村曲線の有理点の非存在の判定法2014
- Author(s)
  新井啓介
- Organizer
  京大数論合同セミナー
- Place of Presentation
  京都大学（京都府・京都市）
- Year and Date
  2014-05-09
- Invited
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] Points on Shimura curves rational over imaginary quadratic fields in the non-split case
- Author(s)
  Keisuke Arai
- Organizer
  日韓整数論セミナー2014
- Place of Presentation
  慶應義塾大学（神奈川県・横浜市）
- Year and Date
  2014-11-20 – 2014-11-22
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] Non-existence of rational points over number fields on certain Shimura curves
- Author(s)
  Keisuke Arai
- Organizer
  Conference on Geometry and Cryptography (GeoCrypt) 2013
- Place of Presentation
  Lyc\'{e}e H\^{o}telier de Tahiti Punaauia
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 志村曲線の代数体上の有理点の非存在について
- Author(s)
  新井啓介
- Organizer
  代数的整数論とその周辺
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 志村曲線の有理点の非存在の判定法
- Author(s)
  新井啓介
- Organizer
  京大数論合同セミナー
- Place of Presentation
  京都大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 志村曲線の有理点とHasse原理
- Author(s)
  新井啓介
- Organizer
  九州代数的整数論2014
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] Non-existence of elliptic points on Shimura curves of $\Gamma_0(p)$-type
- Author(s)
  Keisuke Arai
- Organizer
  28th Journ\'{e}es Arithmetiques
- Place of Presentation
  University Joseph Fourier Grenoble I
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] 代数体上の楕円曲線とそのねじれについて
- Author(s)
  新井啓介
- Organizer
  北陸数論研究集会
- Place of Presentation
  金沢大学
- Invited
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] $\Gamma_0(p)$型志村曲線上の楕円点の非存在について
- Author(s)
  新井啓介
- Organizer
  日本数学会2013年度秋季総合分科会
- Place of Presentation
  愛媛大学
- Data Source
  KAKENHI-PROJECT-25800025
[Presentation] アーベル多様体のモジュライの有理点について
- Author(s)
  新井啓介
- Organizer
  プロジェクト研究集会2013
- Place of Presentation
  箱根高原ホテル
- Invited
- Data Source
  KAKENHI-PROJECT-25800025

1. BANNAI Kenichi (90343201)

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2. TAKAI Yuki (90599698)

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3. MIURA Takashi (60631934)

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4. NAKAMURA Kentaro (90595993)

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5. HAGIHARA Kei (30512173)

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6. KASHIO Tomokazu (10403106)

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7. TSUSHIMA Takahiro (70583912)

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8. YAMAMOTO Shuji

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9. OTSUKI Rei

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10. HASEGAWA Yasuko

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11. HIROTSUNE Tomoki

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12. ONO Masataka

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13. KINGS Guido

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Arai Keisuke 新井 啓介

ARAI Keisuke 新井 啓介

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Research on rational points on moduli spaces over global fieldsPrincipal Investigator

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Research on Galois representations and applications to rational pointsPrincipal Investigator

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Research on rational points on moduli of abelian varieties and related topicsPrincipal Investigator

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Strategic Research to solve certain conjectures in Arithmetic Geometry

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[Book] 第12回北陸数論研究集会報告集2014

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[Journal Article] 代数曲線の有理点入門とサマースクールの概説2023

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[Journal Article] Points on Shimura curves rational over imaginary quadratic fields in the non-split case2023

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[Journal Article] 志村曲線およびその関数体類似の有理点について2020

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[Journal Article] Rational points on Shimura curves and the Manin obstruction2018

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[Journal Article] A note on algebraic points on Shimura curves2018

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[Journal Article] A survey of rational points on Shimura curves2017

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[Journal Article] Algebraic points on Shimura curves of $\Gamma_0(p)$-type (III)2016

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[Journal Article] A note on algebraic points on Shimura curves2016

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[Journal Article] Non-existence of points rational over number fields on Shimura curves2016

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Arai Keisuke 新井啓介

ARAI Keisuke 新井啓介