Goto Yoshiaki

Faculty
General Education
PositionAssociate ProfessorMail
BirthdayWebsite
TEL(代表)0134-27-5206
Message
Last Updated :2020/04/09

Researcher Profile and Settings

Education

  •  - 2014 03 , Hokkaido University, Graduate School of Science

Degree

  • 博士(理学)(北海道大学)
  • 修士(理学)(北海道大学)

Association Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN

Academic & Professional Experience

  •   2016 09 ,  - 現在, Otaru University of Commerce, General Education, Associate Professor
  •   2014 06 ,  - 2016 08 , Kobe University Graduate School of Science Division of Mathematics, Assistant Professor

Research Activities

Research Areas

  • Natural sciences, Basic analysis
  • Natural sciences, Algebra

Research Interests

    twisted (co)homology groups, Hypergeometric functions, Special functions

Published Papers

  • Irreducibility of the monodromy representation of Lauricella's F_C
    Goto Yoshiaki, Matsumoto Keiji, Hokkaido Mathematical Journal, Hokkaido Mathematical Journal, 48, (3) 489 - 512, 10 , Refereed, DOI
  • Pfaffian Equations and Contiguity Relations of the Hypergeometric Function of Type (k+1, k plus n+2) and Their Applications
    Goto Yoshiaki, Matsumoto Keiji, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 61, (3) 315 - 347, 12 , Refereed, DOI
  • THE FUNDAMENTAL GROUP OF THE COMPLEMENT OF THE SINGULAR LOCUS OF LAURICELLA'S F-C
    Goto Yoshiaki, Kaneko Jyoichi, JOURNAL OF SINGULARITIES, JOURNAL OF SINGULARITIES, 17, 295 - 329, 01 , Refereed, DOI
  • The monodromy representation of Lauricella's hypergeometric function $F_C$
    GOTO YOSHIAKI, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XVI, (4) 1409 - 1445, 12 , Refereed, DOI
  • Pfaffian of Appell's hypergeometric system $F_4$ in terms of the intersection form of twisted cohomology groups
    GOTO Yoshiaki, KANEKO Jyoichi, MATUMOTO Keiji, Publications of the Research Institute for Mathematical Sciences, Publications of the Research Institute for Mathematical Sciences, 52, (2) 223 - 247, Refereed, DOI
  • TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTIONS F_A
    GOTO YOSHIAKI, Osaka Journal of Mathematics, Osaka Journal of Mathematics, 52, (3) 861 - 877, 07 , Refereed
  • The monodromy representation and twisted period relations for Appell's hypergeometric function $F_4$
    GOTO Yoshiaki, MATSUMOTO Keiji, Nagoya Mathematical Journal, Nagoya Mathematical Journal, 217, 61 - -94, 03 , Refereed, DOI
  • INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION m+1Fm
    GOTO Yoshiaki, Kyushu J. Math., Kyushu J. Math., 69, (1) 203 - 217, Refereed, DOI
  • Twisted cycles and twisted period relations for Lauricella's hypergeometric function $F_C$
    GOTO YOSHIAKI, International Journal of Mathematics, International Journal of Mathematics, 24, (12) , 11 , Refereed, DOI
  • Functional Equations for Appell's F1 Arising from Transformations of Elliptic Curves
    Goto Yoshiaki, FE, FE, 56, (3) 379 - 396, Refereed, DOI

Conference Activities & Talks

  • Finite irreducible monodromy group for Lauricella's F_C
    Yoshiaki GOTO, Monodromy and Hypergeometric Functions,   2020 02 , 招待有り
  • Contiguity relations for hypergeometric integrals
    GOTO YOSHIAKI, Differential systems: from theory to computer mathematics,   2019 12 , 招待有り
  • Contiguity relations for hypergeometric integrals of type (k,n)
    Yoshiaki GOTO, Dublin Mathematics Colloquium,   2019 09 , 招待有り
  • Monodromy of Lauricella's hypergeometric function F_C (I, II)
    GOTO YOSHIAKI, Hypergeometric functions and mirror symmetry,   2018 12 , 招待有り
  • 2元分割表の条件付き確率の差分HGMによる計算
    GOTO Yoshiaki, TACHIBANA Yoshihito, TAKAYAMA Nobuki, 日本数学会 2016年度年会,   2016 03
  • 2元分割表に対する差分ホロノミック勾配法の実装
    GOTO Yoshiaki, TACHIBANA Yoshihito, TAKAYAMA Nobuki, Risa/Asir Conference 2016,   2016 03
  • 超幾何多項式の数値計算と隣接関係式
    GOTO Yoshiaki, 第12回数学総合若手研究集会,   2016 02
  • $(k,n)$型超幾何関数の隣接関係式とその応用
    GOTO Yoshiaki, グレブナー 若手集会,   2016 02
  • 2元分割表の正規化定数と隣接関係式
    GOTO Yoshiaki, 超幾何方程式研究会 2016,   2016 01
  • 2元分割表に対する差分ホロノミック勾配法の実装
    GOTO Yoshiaki, TACHIBANA Yoshihito, TAKAYAMA Nobuki, RIMS研究集会「数式処理とその周辺分野の研究 -- Computer Algebra andRelated Topics」,   2015 12
  • Contiguity relations and intersection matrices for hypergeometric functions of type $(k,n)$
    GOTO Yoshiaki, 日本数学会 2015年度秋季総合分科会,   2015 09
  • Hypergeometric Functions and Contingency Tables
    GOTO Yoshiaki, SIAM Conference on Applied Algebraic Geometry,National Institute for Mathematical Sciences,   2015 08 , 招待有り
  • $(k,n)$ 型超幾何関数の twisted cohomology の交点行列について
    GOTO Yoshiaki, 第9回 玉原特殊多様体研究集会,   2015 08
  • Twisted cohomology の外積構造と交点行列について
    GOTO Yoshiaki, 農工大数学セミナー 2015,   2015 06 , 招待有り
  • Contingency tables and Lauricella's hypergeometric function $F_D$
    GOTO Yoshiaki, Workshop on computational and algebraic methods in statistics,   2015 03
  • Contiguity relations of Lauricella's $F_D$ and contingency tables
    GOTO Yoshiaki, 日本数学会 2015年度年会・函数方程式論分科会,   2015 03
  • ねじれ周期関係式と3項間関係式の係数
    GOTO Yoshiaki, 琉球超幾何セミナー,   2015 02
  • Lauricella's $F_D$ の隣接関係式と分割表の正規化定数
    GOTO Yoshiaki, 超幾何方程式研究会 2015,   2015 01
  • Monodromy Representation and Intersection Form
    GOTO Yoshiaki, 微分方程式の総合的研究,   2014 12 , 招待有り
  • 超幾何関数のモノドロミー表現と交点形式
    GOTO Yoshiaki, 神戸大学理学研究科数学教室談話会,   2014 10 , 招待有り
  • Lauricella's $F_D$ の隣接関係式と交点形式
    GOTO Yoshiaki, 第8回 玉原特殊多様体研究集会,   2014 09
  • Contingency Tables and Hypergeometric Functions
    GOTO Yoshiaki, Workshop on Applications of Algebraic Geometry and Algebraic Analysis,   2014 07 , 招待有り


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