Specialities

Complex Analysis

Speciality Keywords

Complex Analysis, Computer Mathematics, Numerical Analysis

Research Themes

Books

Papers

• 　Computing holonomic D-modules associated to a family of non-isolated hypersurface singularities via comprehensive Groebner systems of PBW algebra　S. Tajima, K. Nabeshima, K. Ohara, Y. Umeta　Mathematics in Computer Science　17　1　2023/03/13
• 　The structure of a local system associated with a hypergeometric system of rank 9　J. Kaneko, K. Matsumoto, K. Ohara　International Journal of Mathematics　31　3　2050021　2020/01/30
• 　An algorithm for computing Grothendieck local residues II: general case　K. Ohara, S. Tajima　Mathematics in Computer Science　14　483--496　2020
• 　An algorithm for computing Grothendieck local residues I: shape basis case　K. Ohara, S. Tajima　Mathematics in Computer Science　13　205--216　2019
• 　Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic D-modules　K. Nabeshima, K. Ohara, S. Tajima　Journal of Symbolic Computation　89　146--170　2018

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Conference Presentations

Others

Arts and Fieldwork

Patent

Theme to the desired joint research

○Hypergeometric functions, Special functions in some variables, Computer Mathematics, Computer Algebra

Grant-in-Aid for Scientific Research

○「多変数超幾何関数の公式の数式処理による探索」(2010-2012)　
○「微分差分方程式を利用した超幾何関数の公式の導出」(2007-)　
○「微分差分方程式を利用した超幾何関数の公式の導出」(2006-)　
○「微分差分方程式系を用いた超幾何関数の研究」(2005-)　
○「超幾何微分差分方程式系に関する研究」(2004-)
○「超幾何関数に付随するツイストコホモロジ群の交点形式と二次関係式に関する研究」(2003-)
○「一般化された超幾何関数に付随する二次関係式についての研究」(2002-)
○「超幾何関数に付随するツイストコホモロジー群の」(2001-)
○「超幾何関数に付随するツイストコホモロジー群の交点形式に関する研究」(2000-)　

Competitive research funding,Contribution

Collaborative research,Consignment study

Classes (Bachelors)

○Freshman Seminar I(2017)
○Presentation and Debate (Freshman Seminar II)(2017)
○Introduction to Discrete Mathematics b(2017)
○Introduction to Discrete Mathematics a(2017)
○Mathematical Sciences 2(2017)
○Introductory Mathematical sciences(2017)
○Presentation and Debate (Freshman Seminar II)(2017)
○Introduction to Discrete Mathematics(2016)
○Introductory Mathematical sciences(2016)
○Mathematical Sciences 2(2016)

Classes (Graduate Schools)

○Special Lecture on Computational Science(2017)
○Special Lecture on Computational Science(2017)
○Special Topics on Computer Algebra(2017)
○Lectures A for Foreign Students IIa(2017)
○Special Topics on Computer Algebra(2017)
○Special Topics on Computer Algebra(2017)
○Special Topics on Computer Algebra(2017)
○Special Lecture on Computational Science(2017)
○Seminar A(2017)
○Exercise A(2017)
○Seminar A(2017)
○Lectures A for Foreign Students IIb(2017)
○Research Work A(2017)
○Exercise A(2017)
○Research Work A(2017)
○Special Lecture on Computational Science(2017)
○Basics of Discrete Mathematics b(2017)
○Introduction to Mathematical and Physical Sciences IIb(2017)
○Basics of Discrete Mathematics a(2017)
○Introduction to Mathematical and Physical Sciences IIa(2017)
○Lectures A for Foreign Students IIa(2016)
○Special Lecture on Computational Science(2016)
○Seminar A(2016)
○Exercise A(2016)
○Research Work A(2016)
○Lectures A for Foreign Students IIb(2016)
○Introduction to Mathematical and Physical Sciences IIa(2016)
○Introduction to Mathematical and Physical Sciences IIb(2016)
○Exercise A(2016)
○Special Topics on Computer Algebra(2016)
○Basics of Discrete Mathematics a(2016)
○Topics in Computational Science b(2016)
○Research Work A(2016)
○Basics of Discrete Mathematics b(2016)
○Seminar A(2016)