Goto Yoshiaki

Faculty
General Education
PositionAssociate ProfessorMail
BirthdayWebsite
TEL(代表)0134-27-5206
Message
Last Updated :2019/07/11

Researcher Profile and Settings

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

  • Mathematics, Basic analysis
  • Mathematics, Algebra

Research Interests

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

Published Papers

  • 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, 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, 17, 295 - 329, 01 , Refereed, DOI
  • Contiguity relations of Lauricella's F_D revisited
    GOTO YOSHIAKI, Tohoku Mathematical Journal, 69, (2) 287 - 304, 06 , Refereed, DOI
  • The monodromy representation of Lauricella's hypergeometric function $F_C$
    GOTO YOSHIAKI, 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, 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, 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 Journal of Mathematics, 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, 24, (12) , 11 , Refereed, DOI
  • Functional Equations for Appell's F1 Arising from Transformations of Elliptic Curves
    Goto Yoshiaki, FE, Funkcialaj Ekvacioj, 56, (3) 379 - 396, Refereed, DOI

Conference Activities & Talks

  • 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

Educational Activities

Teaching Experience

  • Linear Algebra B1, Kobe University
  • Linear Algebra B2, Kobe University


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