OCHIAI HIROYUKI | Last modified date：2021.06.18 |

Graduate School

Undergraduate School

Homepage

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##### http://imi.kyushu-u.ac.jp/~ochiai/

website for research, education of Hiroyuki Ochiai .

Academic Degree

Ph.D(Math. Sci.)

Country of degree conferring institution (Overseas)

No

Field of Specialization

Algebraic Analysis

Total Priod of education and research career in the foreign country

00years00months

Outline Activities

Research interest is Algebraic Analysis, Representation Theory and Special Functions. I give courses on these topics as well as undergraduate linear algebra, complex variables, and differential equations for undergraduate and those for graduate students.

Research

**Research Interests**

- Representation theory of real reductive Lie groups

keyword : Algebraic Analysis

2009.10～2020.03.

**Academic Activities**

**Books**

1. | Hiroyuki Ochiai, Ken Anjyo, Mathematical Progress in Expressive Image Synthesis II, Springer-Verlag, Selected papers from the proceeding of MEIS2014. |

2. | Ken Anjyo, Hiroyuki Ochiai, Mathematical Progress in Expressive Image Synthesis I, Springer-Verlag, 2014.08, Selected papers from the proceeding of MEIS2013. |

3. | Ken Anjyo, Hiroyuki Ochiai, Mathematical Basics of Motion and Deformation in Computer Graphics, Morgan & Claypool Publishers, doi:10.2200/S00599ED1V01Y201409CGR017, 2014.10, [URL], The unique introduction of the mathematical background to the computer graphics. |

**Papers**

**Presentations**

1. | Hiroyuki Ochiai, An absolute version of Hasse zeta functions, Riemann-Roch in characteristic one and related topics, 2019.10. |

2. | Hiroyuki Ochiai, Making a bridge between Ibukiyama and Kobayashi, 第20回整数論オータムワークショップ, 2017.09. |

3. | Hiroyuki Ochiai, Zeros of Eulerian polynomials, Various Aspects of Multiple Zeta Functions, 2017.08. |

4. | Hiroyuki Ochiai, Ken Anjyo and Ayumi Kimura, An Elementary Introduction to Matrix Exponential for CG, SIGGRAPH, 2016.07. |

5. | Hiroyuki Ochiai, Covariant differential operators and Heckman-Opdam hypergeometric systems, International Conference for Korean Mathematical Society 70th Anniversary,, 2016.10, 保形形式に作用する共変な微分作用素を多変数の場合に超幾何関数を用いて記述した。. |

6. | Hiroyuki Ochiai, Ken Anjyo, An Introduction to Matrix Exponential for CG, 2016.02. |

7. | 落合 啓之, Covariant differential operators and Heckman–Opdam hypergeometric systems, Analytic Representation Theory of Lie Groups, 2015.07. |

8. | 落合 啓之, Computer graphics and mathematics, Computational and Geometric Approaches for Nonlinear Phenomena, 2015.08. |

9. | Ken Anjyo, Hiroyuki Ochiai, Mathematical basics of motion and deformation in computer graphics, ACM SIGGRAPH, 2014.08, This is a course lecture on mathematical basics to graphics community. |

10. | OCHIAI HIROYUKI, Double flag variety for a symmetric pair and finiteness of orbits, Representation Theory of Chevalley Groups and Related Topics, 2012.03. |

11. | OCHIAI HIROYUKI, Positivity of alpha determinant, Geometrci Analysis on Euclidean Homogeneous Spaces, 2012.01. |

12. | , [URL]. |

13. | , [URL]. |

14. | 12/14 と 12/16 の２コマの連続講演. |

15. | An algebraic transformation of Gauss hypergeometric function. |

16. | OCHIAI HIROYUKI, Positivity of an alpha determinant, Analysis, Geometry and Group Representations for Homogeneous Spaces, 2010.11. |

17. | OCHIAI HIROYUKI, Invariant hyperfunctions on some semisimple symmetric space, International conference on representation theory and harmonic analysis, 2010.06. |

**Membership in Academic Society**

- MSJ
- Japan Mathematical Society

**Awards**

- On the study of mathematical models of computer graphics

Educational

Social

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