Rchr
J-GLOBAL ID：200901053358736585
Update date: Jan. 31, 2024
Shinichi Tajima
タジマ シンイチ | Shinichi Tajima
Affiliation and department：
Research field (1)：
Basic analysis
Research theme for competitive and other funds (37)：
- 2022 - 2027 Algebraic analysis of deformations of non-isolated singularities, computational complex analysis and algorithms
- 2018 - 2022 Algebraic aanalysis of non-isolated singularities and computational complex analysis algorithms
- 2015 - 2018 Singular statistics and computational algebraic analysis of machine learning models
- 2012 - 2017 Residue theory on singular varieties and its applications
- 2012 - 2015 Computational Complex Analysis of logarithmic vector fields, singular varieties and Algebraic Analysis Algorithms
- 2010 - 2012 Algorithms for systems of parametric polynomials
- 2009 - 2011 Algebraic analysis of algebraic local cohomology and computational complex analysis of non-isolated singularities
- 2009 - 2011 Localization theory of Atiyah classes and its applications
- 2007 - 2009 Applications of algebraic analysis to geometry
- 2006 - 2007 Residues on Singular Varieties
- 2005 - 2007 Complex analysis of residues currents and computational algebraic analysis
- 2005 - 2006 Algebraic study of non-local differential equations and operational calculus
- 2003 - 2005 Residues on Singular Varieties
- 2003 - 2004 Algebraic Analysis of residue currents and an algorithm for computing Noether operators
- 2003 - 2004 Algebraic-analytical Study of non-local pseudo-differential equations in complex domains
- 2001 - 2002 ALGEBRAIC ANALYTICAL STUDY OF SHEAVES AND INFINITE ORDRE DIFFERENTIAL EQUATIONS
- 2001 - 2002 Research on the structures of hypersurfaces and their function fields
- 2000 - 2001 Algebraic analysis of residue theory in several complex variables and algorithms
- 1999 - 2000 ALGEBRAIC-ANALYTICAL STUDY OF PSEUDO-DIFFERENTIAL AND CONVOLUTION ERUATIONS
- 1999 - 2000 Comprehensive Study of Real Analysis and Functional Analysis
- 1998 - 1999 多変数留数計算の代数解析的研究
- 1998 - 1999 Degree of irrationalities of algebraic surfaces with Kodaira dimension zero
- 1997 - 1998 PSEUDO-DIFFERENTIAL EQUATIONS IN COMPLEX DOMAINS
- 1997 - 1998 United Study of Functional and Real Analysis
- 1996 - 1996 有限無限次元複素解析学の研究
- 1995 - 1996 Comprehensive Study of Functional and Real Analysis
- 1995 - 1995 消散性の一般化と非線形発展方程式
- 1994 - 1994 電場下にあるBloch電子の複素解析とBerry phase
- 1993 - 1993 代数関数体の非有理次数の研究
- 1992 - 1992 外場下にあるBloch電子の複素解析とブリルアンゾーン上のBerry phase
- 1991 - 1991 有限次代数体上有限次ア-ベルlー拡大の中心拡大modulomの研究
- 1990 - 1991 Hypersurfaces in the three dimensional projective spaces and its complement
- 1987 - 1988 Normal singularities and non-existence of plane curves
- 1986 - 1986 開3次元多様体P^3-Sの研究
- Algebraic analysis of multidimensional residues
- Computational complex analysis of singularities
- 計算代数とアルゴリズム
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Papers (225)：
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Katsusuke Nabeshima, Shinichi Tajima. Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals. Computer Algebra in Scientific Computing. 2023. 272-291
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Shinichi Tajima, Katsusuke Nabeshima, Katsuyoshi Ohara, Yoko Umeta. Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Gröbner systems of PBW algebra. Mathematics in Computer Science. 2023. 17. 1
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Katsusuke Nabeshima, Shinichi Tajima. CSSg method for several genericities of parametric systems. Japan Journal of Industrial and Applied Mathematics. 2022
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Shinichi Tajima, Katsusuke Nabeshima. An effective method for computing Grothendieck point residue mappings. Journal of Algebra. 2022. 593. 568-588
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Shinichi Tajima, Katsusuke Nabeshima. Computing Regular Meromorphic Differential Forms via Saito's Logarithmic Residues. Symmetry, Integrability and Geometry: Methods and Applications. 2021
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MISC (22)：
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田島 慎一, 鍋島 克輔. 多項式函数のbifurcation setの計算法(1)-Methods for computing the bifurcation set of a polynomial function(1)-Computer Algebra : Foundations and Applications. 数理解析研究所講究録. 2023. 2255. 88-95
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鍋島 克輔, 田島 慎一. 正次元イデアルのネター作用素の計算と特異点-Noetherian operators of positive dimensional ideals and hypersurface singularities-Computer Algebra : Foundations and Applications. 数理解析研究所講究録. 2023. 2255. 75-87
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鍋島 克輔, 田島 慎一. CSSg method for several genericities of deformations of hypersurface singularities-可微分写像の特異点論及びその応用. 数理解析研究所講究録. 2022. 2226. 1-15
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鍋島 克輔, 田島 慎一. ネター作用素を用いた零次元イデアルの準素イデアル分解と復元-日本数式処理学会第30回大会報告. 数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation. 2022. 28. 1. 28-31
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田島 慎一, 小原 功任, 照井 章. 最小消去多項式を用いた一般固有ベクトル空間の構成-日本数式処理学会第30回大会報告. 数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation. 2022. 28. 1. 32-35
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Books (2)：
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SINGULARITIES IN GEOMETRY AND TOPOLOGY 2011
MATH SOC JAPAN 2015 ISBN:9784864970266
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Analyse microlocale sur les varietes de Cauchy-Riemann et problemes du prolongement des solutions holomorphes des equations aux derivees partielles
1981
Lectures and oral presentations (37)：
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Integral dependence relation と半擬斉次孤立特異点の $b$-関数
(日本数学会函数論分科会 2017)
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収束冪級数環でのintegral numberの計算 グレブナー基底 vs 代数的局所コホモ ロジー類
(日本数学会函数論分科会 2017)
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Transformation law による Grothendieck local residue の計算
(日本数学会函数論分科会 2017)
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b-関数の根に付随したホロノミー系の局所コホモロジー解の計算
(数式処理の新たな発展--その最新研究 2017)
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Local cohomology, Grothendieck local residues and algorithms,
(Workshop on Rresidues, dynamics and hyperfunctions 2017)
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Education (3)：
- 1978 - 1981 東京大学大学院 理学系研究科 数学専攻
- 1976 - 1978 東京大学大学院 理学系研究科 数学専攻
- 1971 - 1976 Tokyo Institute of Technology Faculty of Science
Professional career (1)：
Work history (6)：
Association Membership(s) (2)：
JAPAN SOCIETY OF SYMBOLIC AND ALGEBRAIC COMPUTATIONS
, 日本数学会
