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

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

Uchida Yukihiro 内田 幸寛

UCHIDA Yukihiro 内田 幸寛

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

Discrete integrable systems and Diophantine problems

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Study on the arithmetic of algebraic curves and its applications using computersPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Arithmetic and the Abel Jacobi map on elliptic surfaces and their applications

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A study of algorithms on the arithmetic of algebraic curves and Abelian varietiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[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)

Journal Title

Data Source

[Journal Article] The local-global property for bitangents of plane quartics2020

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] A small secret exponent attack on cryptosystems using Dickson polynomials2015

Author(s)

Journal Title

DOI

NAID

Data Source

[Journal Article] 超楕円Jacobi多様体のMordell-Weil群の計算2015

Author(s)

Journal Title

Data Source

[Journal Article] A small secret exponent attack on cryptosystems using Dickson polynomials2015

Author(s)

Journal Title

NAID

Data Source

[Journal Article] The elliptic curve Diffie-Hellman problem and an equivalent hard problem for elliptic divisibility sequences2014

Author(s)

Journal Title

DOI

NAID

ISSN

Language

Data Source

[Presentation] 有理的interval designの明示的構成法とHilbert Kamke問題2024

Author(s)

Organizer

Data Source

[Presentation] 中心対称的な有理デザインの存在問題2023

Author(s)

Organizer

Data Source

[Presentation] 有理的interval designの明示的構成法とHilbert-Kamke問題2023

Author(s)

Organizer

Data Source

Uchida Yukihiro 内田幸寛

UCHIDA Yukihiro 内田幸寛