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Uchida Yukihiro  内田 幸寛

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UCHIDA Yukihiro  内田 幸寛

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Researcher Number 90533258
Other IDs
Affiliation (Current) 2025: 東京都立大学, 理学研究科, 准教授
Affiliation (based on the past Project Information) *help 2020 – 2024: 東京都立大学, 理学研究科, 准教授
2013 – 2016: 首都大学東京, 理工学研究科, 准教授
Review Section/Research Field
Principal Investigator
Basic Section 11010:Algebra-related / Algebra
Except Principal Investigator
Medium-sized Section 11:Algebra, geometry, and related fields / Algebra
Keywords
Principal Investigator
不定方程式 / 暗号 / 超楕円曲線 / ヤコビ多様体 / 代数曲線 / 双接線 / 局所大域性 / 直交多項式 / Somos数列 / 区間デザイン … More / 矩形求積公式 / 楕円曲線暗号 / ディクソン多項式 / 秘密分散 / 等分多項式 / 位数計算 / 楕円曲線 / 高さ関数 / アーベル多様体 … More
Except Principal Investigator
離散可積分系 / アーベル多様体 / ディオファントス問題 / 数論統計 / Mordell-Weil格子 / Mordell-Weil群 / Zariski k組 / ガロア分岐被覆 / Jacobi多様体 / Zariski N組 / ペアリング / 暗号 / 不定方程式 / 楕円曲線 / Zariski 対 / Zariski N 組 / 有理楕円曲面 / bisection / k Artal arrangement / contact conic / Zariski ペア / 2重切断 / 整切断 / Mordell Weil群 / 楕円曲面 Less
  • Research Projects

    (5 results)
  • Research Products

    (23 results)
  • Co-Researchers

    (10 People)
  •  数論統計の手法によるディオファントス幾何学の研究とその応用

    • Principal Investigator
      谷口 隆
    • Project Period (FY)
      2024 – 2026
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Kobe University
  •  Discrete integrable systems and Diophantine problems

    • Principal Investigator
      伊藤 哲史
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Review Section
      Medium-sized Section 11:Algebra, geometry, and related fields
    • Research Institution
      Kyoto University
  •  Study on the arithmetic of algebraic curves and its applications using computersPrincipal Investigator

    • Principal Investigator
      内田 幸寛
    • Project Period (FY)
      2020 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo Metropolitan University
  •  Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications

    • Principal Investigator
      TOKUNAGA HIROO
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University
  •  A study of algorithms on the arithmetic of algebraic curves and Abelian varietiesPrincipal Investigator

    • Principal Investigator
      UCHIDA Yukihiro
    • Project Period (FY)
      2013 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Metropolitan University

All 2024 2023 2021 2020 2017 2016 2015 2014 Other

All Journal Article Presentation

  • [Journal Article] 古典直交多項式,矩形求積公式,幾何デザインの有理性について2023

    • Author(s)
      澤正憲,内田幸寛
    • Journal Title

      数学

      Volume: 75 Pages: 295-314

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Journal Article] The local-global property for bitangents of plane quartics2020

    • Author(s)
      Ishitsuka Yasuhiro、Ito Tetsushi、Ohshita Tatsuya、Taniguchi Takashi、Uchida Yukihiro
    • Journal Title

      JSIAM Letters

      Volume: 12 Issue: 0 Pages: 41-44

    • DOI

      10.14495/jsiaml.12.41

    • NAID

      130007879424

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-20K03517, KAKENHI-PROJECT-17H02835
  • [Journal Article] A small secret exponent attack on cryptosystems using Dickson polynomials2015

    • Author(s)
      A. Onishi, Y. Uchida, S. Uchiyama
    • Journal Title

      JSIAM Letters

      Volume: 7 Issue: 0 Pages: 41-43

    • DOI

      10.14495/jsiaml.7.41

    • NAID

      130005068709

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Journal Article] 超楕円Jacobi多様体のMordell-Weil群の計算2015

    • Author(s)
      内田幸寛
    • Journal Title

      日本応用数理学会論文誌

      Volume: 25 Pages: 229-253

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Journal Article] A small secret exponent attack on cryptosystems using Dickson polynomials2015

    • Author(s)
      A. Onishi, Y. Uchida, S. Uchiyama
    • Journal Title

      JSIAM Letters

      Volume: 7 Pages: 41-43

    • NAID

      130005068709

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Journal Article] The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences2014

    • Author(s)
      Junichi Yarimizu, Yukihiro Uchida and Shigenori Uchiyama
    • Journal Title

      JSIAM Letters

      Volume: 6 Issue: 0 Pages: 5-7

    • DOI

      10.14495/jsiaml.6.5

    • NAID

      130003394981

    • ISSN
      1883-0609, 1883-0617
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] 有理的interval designの明示的構成法とHilbert Kamke問題2024

    • Author(s)
      三島輝之,澤正憲,内田幸寛,盧暁南
    • Organizer
      日本数学会2024年度年会
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Presentation] 中心対称的な有理デザインの存在問題2023

    • Author(s)
      三島輝之,澤正憲,内田幸寛
    • Organizer
      日本数学会2023年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Presentation] 有理的interval designの明示的構成法とHilbert-Kamke問題2023

    • Author(s)
      三島輝之,澤正憲,内田幸寛,Xiao-Nan Lu
    • Organizer
      2023年度応用数学合同研究集会
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Presentation] Periodicity of Somos sequences related to curves of genus 22023

    • Author(s)
      Yukihiro Uchida
    • Organizer
      Number Theory in Tokyo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Presentation] Periodicity of Somos sequences related to curves of genus 22023

    • Author(s)
      内田幸寛
    • Organizer
      京大数論合同セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Presentation] Periodicity of Somos sequences related to curves of genus 22023

    • Author(s)
      Yukihiro Uchida
    • Organizer
      Number Theory in Tokyo
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K18577
  • [Presentation] Periodicity of Somos sequences related to curves of genus 22023

    • Author(s)
      内田幸寛
    • Organizer
      京都大学数論合同セミナー
    • Data Source
      KAKENHI-PROJECT-21K18577
  • [Presentation] 矩形求積公式の有理性に関する不定方程式と準直交多項式2021

    • Author(s)
      内田幸寛
    • Organizer
      第2回神戸整数論ミニワークショップ
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03517
  • [Presentation] 種数2の超楕円曲線の位数計算と等分多項式2017

    • Author(s)
      内田幸寛
    • Organizer
      代数幾何学と暗号数理の展開
    • Place of Presentation
      九州大学西新プラザ(福岡県福岡市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] ある不定方程式系の解と準エルミート多項式の零点の有理性について2016

    • Author(s)
      内田幸寛
    • Organizer
      第12回代数曲面ワークショップ
    • Place of Presentation
      首都大学東京秋葉原サテライトキャンパス(東京都千代田区)
    • Year and Date
      2016-02-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] ある不定方程式系の解と準エルミート多項式の零点の有理性について2016

    • Author(s)
      内田幸寛
    • Organizer
      第12回代数曲面ワークショップ
    • Place of Presentation
      首都大学東京秋葉原サテライトキャンパス, 東京都千代田区
    • Year and Date
      2016-02-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] 超楕円Jacobi多様体上の標準高さの計算について2015

    • Author(s)
      内田幸寛
    • Organizer
      Workshop on Computational Number Theory with Implementations 2015
    • Place of Presentation
      九州大学(福岡県福岡市)
    • Year and Date
      2015-02-21
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] 楕円曲線を用いたMulti-Secret Sharingについて2015

    • Author(s)
      池田崇,内田幸寛,内山成憲
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学角間キャンパス(石川県金沢市)
    • Year and Date
      2015-09-11
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] 楕円曲線を用いたMulti-Secret Sharingについて2015

    • Author(s)
      池田崇,内田幸寛,内山成憲
    • Organizer
      日本応用数理学会2015年度年会
    • Place of Presentation
      金沢大学角間キャンパス, 石川県金沢市
    • Year and Date
      2015-09-11
    • Data Source
      KAKENHI-PROJECT-25610007
  • [Presentation] Dickson多項式を用いた暗号方式に対する秘密鍵が小さい場合の攻撃法2014

    • Author(s)
      尾西昭彦、内田幸寛、内山成憲
    • Organizer
      日本応用数理学会2014年度年会
    • Place of Presentation
      政策研究大学院大学(東京都港区)
    • Year and Date
      2014-09-04
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] Jacobi多様体上の標準高さに関するアルゴリズム2014

    • Author(s)
      内田幸寛
    • Organizer
      数学ソフトウェアとフリードキュメントXIX
    • Place of Presentation
      広島大学(広島県東広島市)
    • Year and Date
      2014-09-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800023
  • [Presentation] 代数曲線の数論と暗号への応用

    • Author(s)
      内田幸寛
    • Organizer
      Joint workshop on pure and applied mathematics
    • Place of Presentation
      東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25800023
  • 1.  伊藤 哲史 (10456840)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 2.  谷口 隆 (60422391)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 3.  大下 達也 (70712420)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 4.  石塚 裕大 (50761136)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 5.  TOKUNAGA HIROO (30211395)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  BANNAI SHINZO (20732556)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  SHIRANE TAKETO (70615161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  内山 成憲 (40433172)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 2 results
  • 9.  Guerville-Balle Benoit
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  Tumenbayar Kuhlan
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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