HAYATA Takahiro 早田孝博

Researcher Number	50312757
Affiliation *help	2016 – 2018 : 山形大学, 大学院理工学研究科, 准教授 2012 – 2016 : 山形大学, 理工学研究科, 准教授 2014 : 山形大学, 大学院理工学研究科, 准教授 2011 – 2012 : 山形大学, 理工学研究科, 助教 2010 : 山形大学, 工学部, 助教 2000 – 2006 : 山形大学, 工学部, 助手
Review Section/Research Field	Principal Investigator Algebra / Algebra Except Principal Investigator Algebra / Fundamental theory of informatics / 情報通信工学
Keywords	Principal Investigator 行列係数 / 半単純リー群 / 基本領域 / 保型形式 / ジーゲル上半空間 / シンプレクティック格子 / キス数 / カスプ形式 / カスピダル・コホモロジー / 最小ベクトル … More Except Principal Investigator 算術的商空間 / automorphic forms / spherical functions / 公開鍵暗号 / modular forms / RSA暗号 / 簡約理論 / 代数群 / public key cryptosystem / 対称錘 / 保型型式 / modular varieties,不連続群 / El.Gamal暗号 / TSP cryptosystem / ナップザック暗号 / 4次体 / 虚2次体 / fundamental domain / 情報セキュリティ / factoring / ElGamal署名 / 級関数 / 離散対数アルゴリズム / discrete subgroups / 基本領域 / ディジタル署名 / discrete log algorithm / trap door / quadratic field / 落し戸 / 保型形式 / Whittaker function / Whittaker functions,モジュラー多様体 / ２次形式 / 数論 / Lie群上の球関数 / discrete series / トリボナッチ数列 / spherical functions, Whittaker関数 / ボロノイアルゴリズム / 不連続群 / Green functions / information security / 落し度 / 数論的部分群 / knapsack cryptosystem / 素因数分解 / Picardモジュラー形式 / モジュライ空間 / アデール群 / factoring algorithm / 実2次体 / moduli spaces / LLL algorithm / 素因数分解アルゴリズム / 多変数超幾何関数 / L-functions / 離散対数問題 / 2次体 / 代数体 / RSA cryptosystem / 簡約代数群 / LLLアルゴリズム / discrete logarithm problem / 巡回セールスマン暗号 / リシュコフ多面体 / L-関数 / ホッヂ構造 / ElGamal暗号 / 行列係数 / ElGamal signature scheme / hypergeometric functions / アデール / RSA署名 / エルミート定数 / automorphic forms,球関数 / Whittaker functions / 新谷の単数定理 / spherical functions on Lie groups / digital signature / algebraic field / 数論的離散群 / モジュラー形式 / 球関数 / Automorphic forms / Green currents Less

Computation of boundary components of fundamental domains of symmetric cones and its applicationPrincipal Investigator
- Principal Investigator
  
  Hayata Takahiro
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
Explicit reduction theory of algebraic groups
- Principal Investigator
  
  Watanabe Takao
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Arithmetic study of automorphic forms of many variables by various method
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
Understanding of the relation between degenerate hypergeometric functions and the matrix coefficients of the discrete series representations of semi simple Lie groupsPrincipal Investigator
- Principal Investigator
  
  HAYATA Takahiro
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
Construction of Voronoi theory over adele groups
- Principal Investigator
  
  WATANABE Takao
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Osaka University
Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties
- Principal Investigator
  
  ODA Takayuki
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokyo
A research on the design of public key cryptosystem over algebraic field
- Principal Investigator
  
  KOBAYASHI Kunikatsu
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Fundamental theory of informatics
- Research Institution
  Yamagata University
半単純リー群の離散系列表現の行列係数と保型因子Principal Investigator
- Principal Investigator
  
  早田孝博
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Yamagata University
A Development of Public Key Cryptosystem Based on tne Security for the Hard Problem of Number Theory and its Security Evaluation
- Principal Investigator
  
  KOBAYASHI Kunikatsu
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  情報通信工学
- Research Institution
  Yamagata University

All 2016 2015 2014 2012 2011 2010

All Journal Article Presentation

[Journal Article] Matrix Coefficients of Discrete Series Representations of SU(3,1)2015
- Author(s)
  Takahiro Hayata and Harutaka Koseki and Tadashi Miyazaki and Takayuki Oda
- Journal Title
  
  Journal of Lie Theory
  
  Volume : 25
- Open Access / Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540005
[Journal Article] Zero cells of the Siegel-Gottschling fundamental domain of degree 22012
- Author(s)
  Takahiro Hayata
- Journal Title
  
  Experimetal Math
  
  Volume : 21(3) Pages : 266-279
- DOI
  10.1080/10586458.2012.653273
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23244003, KAKENHI-PROJECT-23540016
[Journal Article] Theta対応に現れるCohomological表現2012
- Author(s)
  早田　孝博
- Journal Title
  
  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」
  
  Volume : 19 Pages : 290-301
- Data Source
  KAKENHI-PROJECT-23540005
[Journal Article] Zero cells of the Siegel-Gottschling fundamental domain of degree 22012
- Author(s)
  Takahiro Hayata, T.Oda, Tomoki
- Journal Title
  
  Experimental Math
  
  Volume : (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Matrix coefficients of the middle discrete series of SU(2, 2)2010
- Author(s)
  T. Hayata(早田孝博), Harutaka Koseki(古関春隆) and T. Oda
- Journal Title
  
  J. of Funct. Analysis
  
  Volume : vol.259 Pages : 301-307
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Matrix coefficients of the middle discrete series of SU (2,2)2010
- Author(s)
  T. Hayata, H. Koseki, T. Oda
- Journal Title
  
  J.of Funt.Analysis (To appear in)
  
  Pages : 10-10
- Data Source
  KAKENHI-PROJECT-19204001
[Journal Article] Matrix coefficients of the middle discrete series of SU(2,2)2010
- Author(s)
  早田孝博・古関春隆・織田孝幸
- Journal Title
  
  Journal of Functional Analysis
  
  Volume : 259 Pages : 301-307
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19204001
[Presentation] Short vector algorithm and the kissing number on the Siegel-Gottschling fundamental domain of degree 22016
- Author(s)
  早田孝博
- Organizer
  ミニワークショップModular forms and period integrals
- Place of Presentation
  東京大学駒場キャンパス
- Data Source
  KAKENHI-PROJECT-26400004
[Presentation] Computing Kissing Numbers on Classical Groups2016
- Author(s)
  早田孝博
- Organizer
  金沢数論ミニ集会２０１６
- Place of Presentation
  金沢大学サテライトプラザ
- Data Source
  KAKENHI-PROJECT-26400004
[Presentation] 0 cells of the Siegel-Gottschling fundamental domain of degree 22015
- Author(s)
  Takahiro HAYATA
- Organizer
  MCM2015Autumn
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2015-10-29
- Invited
- Data Source
  KAKENHI-PROJECT-26400004
[Presentation] Introduction to derived functor modules; the cases of GL(n;C), of GL(n;R)2014
- Author(s)
  Takahiro Hayata
- Organizer
  Work Shop 2014 ``Structure of L^2(H\G) --local Galois case--''
- Place of Presentation
  岡山大学理学部
- Data Source
  KAKENHI-PROJECT-23540005
[Presentation] Gottschling による二次ジーゲル基本領域の記述について2011
- Author(s)
  早田　孝博
- Organizer
  東北大代数セミナー(招待講演)
- Place of Presentation
  東北大学
- Data Source
  KAKENHI-PROJECT-23540005
[Presentation] theta対応に現れる cohomological 表現2011
- Author(s)
  早田　孝博
- Organizer
  第19回整数論サマースクール2011「保型形式のリフティング」(招待講演)
- Place of Presentation
  富士箱根ランド　スコーレプラザホテル
- Data Source
  KAKENHI-PROJECT-23540005
[Presentation] 0-cells of the Siegel-Gottschling fundamental domain of degree 22011
- Author(s)
  早田孝博
- Organizer
  Reduction Theory and Applications to Automorphic Forms
- Place of Presentation
  白馬ハイマウントホテル
- Year and Date
  2011-11-01
- Data Source
  KAKENHI-PROJECT-23540016

1. WATANABE Takao (30201198)

# of Collaborated Projects : 5results

# of Collaborated Products : 0results
2. ODA Takayuki (10109415)

# of Collaborated Projects : 4results

# of Collaborated Products : 5results
3. TSUZUKI Masao (80296946)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
4. HIRONAKA Yumiko (10153652)

# of Collaborated Projects : 3results

# of Collaborated Products : 0results
5. ISHII Taku (60406650)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
6. IBUKIYAMA Tomoyoshi (60011722)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
7. KOSEKI Harutaka (60234770)

# of Collaborated Projects : 2results

# of Collaborated Products : 3results
8. HIRANO Miki (80314946)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
9. MURASE Atsushi (40157772)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
10. KOBAYASHI Kunikatsu (40007191)

# of Collaborated Projects : 2results

# of Collaborated Products : 0results
11. ICHIKAWA Takashi (20201923)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
12. ARIYAMA Kazutoshi (20123713)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
13. SATO Fumihiro (20120884)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
14. SUGANO Takashi (30183841)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
15. HAMAHATA Yoshinori (90260645)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
16. WAKATSUKI Satoshi (10432121)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
17. GON Yasuro (30302508)

# of Collaborated Projects : 1results

# of Collaborated Products : 0results
18. Lee Tim Weng

# of Collaborated Projects : 1results

# of Collaborated Products : 0results

HAYATA Takahiro 早田 孝博

Research Projects

Research Products

Co-Researchers

Computation of boundary components of fundamental domains of symmetric cones and its applicationPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Explicit reduction theory of algebraic groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Arithmetic study of automorphic forms of many variables by various method

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Understanding of the relation between degenerate hypergeometric functions and the matrix coefficients of the discrete series representations of semi simple Lie groupsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Construction of Voronoi theory over adele groups

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis, geometry and arithmetic of automorphic forms of many variables and higher dimensional modular varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A research on the design of public key cryptosystem over algebraic field

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

半単純リー群の離散系列表現の行列係数と保型因子Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

A Development of Public Key Cryptosystem Based on tne Security for the Hard Problem of Number Theory and its Security Evaluation

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Matrix Coefficients of Discrete Series Representations of SU(3,1)2015

Author(s)

Journal Title

Data Source

[Journal Article] Zero cells of the Siegel-Gottschling fundamental domain of degree 22012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Theta対応に現れるCohomological表現2012

Author(s)

Journal Title

Data Source

[Journal Article] Zero cells of the Siegel-Gottschling fundamental domain of degree 22012

Author(s)

Journal Title

Data Source

[Journal Article] Matrix coefficients of the middle discrete series of SU(2, 2)2010

Author(s)

Journal Title

Data Source

[Journal Article] Matrix coefficients of the middle discrete series of SU (2,2)2010

HAYATA Takahiro 早田孝博