Research theme for competitive and other funds (5)：
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
2015 - 2018 Computational complex analysis and algebraic analysis of singularities
2013 - 2016 Study of parametric system of equations for singularity theory
Papers (14)：
Takafumi Shibuta, Shinichi Tajima. An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings. J. Symb. Comput. 2020. 96. 108-121
渋田 敬史, 田島 慎一. マトリス双対を用いた有限なcolengthを持つ加群の被約標準基底の計算アルゴリズム (第25回日本数式処理学会大会報告). 数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation. 2017. 23. 2. 85-88
