Keiji Matsumoto

マツモトケイジ | Keiji Matsumoto

Affiliation and department：
Homepage URL (1)： https://kaken.nii.ac.jp/d/r/30229546.ja.html

Research field (4)： Algebra , Basic analysis , Geometry , Mathematical analysis

Research keywords (30)：超幾何関数 , テータ関数 , ねじれコホモロジー群 , 周期写像 , 保型形式 , 配置空間 , モジュライ空間 , 算術幾何平均 , 超幾何微分方程式 , 交点数 , ねじれホモロジー群 , 周期行列 , 平均反復 , ねじれコホモロジー , 合流 , 漸近展開 , 双曲幾何 , 局所系係数(コ)ホモロジー群 , 双曲空間 , モノドロミー群 , 双曲幾何学 , ねじれホモロジー , 周期関係式 , パッフ形式 , 基本群 , 交点形式 , データ関数 , twisted (co) homology , 超幾何 , 周期積分

Research theme for competitive and other funds (30)：

2019 - 2023 相対ねじれ(コ)ホモロジー群による特殊関数の研究
2015 - 2020 Application of the theory of motives to various cohomology theories and period integral
2016 - 2019 Research of special functions associated with moduli spaces of algebraic varieties
2013 - 2017 Theory and numerical evaluation of special functions of several variables
2013 - 2016 Analysis of special functions associated with periods of algebraic varieties

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Papers (11)：

Keiji Matsumoto. THE MONODROMY REPRESENTATIONS OF LOCAL SYSTEMS ASSOCIATED WITH LAURICELLA'S F-D. KYUSHU JOURNAL OF MATHEMATICS. 2017. 71. 2. 329-348
Hideyuki Majima, Keiji Matsumoto, Nobuki Takayama. Quadratic relations for confluent hypergeometric functions. Tohoku Mathematical Journal. 2000. 52. 4. 489-513
KACHI Naoki, MATSUMOTO Keiji, MIHARA Masateru. THE PERFECTNESS OF THE INTERSECTION PAIRINGS FOR TWISTED COHOMOLOGY AND HOMOLOGY GROUPS WITH RESPECT TO RATIONAL 1-FORMS. Kyushu J. Math. 1999. 53. 1. 163-188
Keiji Matsumoto, Takeshi Sasaki. On the system of differential equations associated with a quadric and hyperplanes. Kyushu Journal of Mathematics. 1996. 50. 1. 93-131
Matsumoto Keiji, Sasaki Takeshi, Yoshida Masaaki. Recent progress of Gauss-Schwarz theory and related geometric structures. Memoirs of the Faculty of Science, Kyusyu University. Series A, Mathematics. 1993. 47. 2. 283-381

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MISC (8)：

Matsumoto Keiji. Attempts to construct automorphic functions for hyperbolic links(Complex Analysis and Geometry of Hyperbolic Spaces). RIMS Kokyuroku. 2006. 1518. 76-86
松本圭司, 寺杣友秀. 5次元超球上のある保型形式 (微分方程式の変形と漸近解析). 数理解析研究所講究録. 2002. 1296. 80-91
松本圭司. 実3次元上半空間上の保型関数 (双曲空間及び離散群の研究II). 数理解析研究所講究録. 2002. 1270. 126-137
松本圭司. 3次曲面のモジュライに関する保型形式 (微分方程式論における積分公式とTwisted Cohomology). 数理解析研究所講究録. 2001. 1212. 50-64
松本圭司. $SU$(2,2)上のtheta関数(Sp(2 ; $\mathbb{R}$)とSU(2,2)上の保型形式). 数理解析研究所講究録. 1995. 909. 208-211

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Books (1)：

Multivariable special functions
Cambridge University Press 2020 ISBN:9781107003736

Professional career (1)：

博士(理学) (九州大学)

Work history (4)：

2008/11 - 現在 Hokkaido University Faculty of Science Department of Mathematics
2007/04 - 2008/10 Hokkaido University Faculty of Science Department of Mathematics
2006/04 - 2007/03 Hokkaido University Faculty of Science Department of Mathematics
1999/08 - 2006/03 Hokkaido University Graduate School of Science Department of Mathematics

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