Miyuki Koiso | Last modified date：2017.12.20 |

Graduate School

Undergraduate School

Homepage

##### http://www.imi.kyushu-u.ac.jp/eng/academic_staffs/view/85

Academic Degree

Doctor of Science

Field of Specialization

mathematics

Research

**Research Interests**

- Global analysis on geometric variational problems and its applications

keyword : mathematics, geometry, differential geometry, variational problem, global analysis

2008.10～2017.03.

**Current and Past Project**

- Joint research with Prof. Jaigyoung Choe (Korean Institute for Advanced Study, Korea) on a free boundary problem for surfaces with constant mean curvature.
- Joint research on geometric variational problems for hypersurfaces; Miyuki Koiso (Kyushu U., Japan) and Bennett Palmer (Idaho State U., USA)
- Joint research on stability and bifurcation for surfaces with constant mean curvature and their generalizations; Miyuki Koiso (Kyushu U, Japan), Bennett Palmer (Idaho State U., USA), and Paolo Piccione (Univ. of Sao Paulo, Brazil)

**Academic Activities**

**Papers**

1. | Miyuki Koiso, Bennett Palmer, Higher order variations of constant mean curvature surfaces, Calculus of Variations and PDE's, 2018.12. |

2. | Miyuki Koiso, Bennett Palmer, Paolo Piccione, Stability and bifurcation for surfaces with constant mean curvature, Journal of the Mathematical Society of Japan, 69, 4, 2017.10. |

3. | 小磯 深幸, Jaigyoung Choe, Stable capillary hypersurfaces in a wedge, Pacific Journal of Mathematics, 280, 1, 2015.12. |

**Presentations**

1. | 小磯 深幸, Local structure of the space of all triply periodic minimal surfaces in R^3, Workshop "Geometric aspects on capillary problems and related topics", 2015.12.16, [URL]. |

2. | 小磯 深幸, Stable capillary hypersurfaces in a wedge and uniqueness of the minimizer, Asymptotic Problems: Elliptic and Parabolic Issues, 2015.06.02, [URL]. |

3. | 小磯 深幸, Bifurcation theory for minimal and constant mean curvature surfaces, Conference on Geometry, 2014.03.22, [URL]. |

4. | 小磯 深幸, Stable capillary hypersurfaces in a wedge and uniqueness of the minimizer, The second Japanese-Spanish workshop on Differential Geometry, 2014.02.06, [URL]. |

5. | 小磯 深幸, Geometry of hypersurfaces with constant anisotropic mean curvature, The 2013 Annual Meeting of the Taiwan Mathematical Society, 2013.12.08, [URL]. |

6. | 小磯 深幸, Free boundary problem for surfaces with constant mean curvature, International Workshop on Special Geometry and Minimal Submanifolds, 2013.08.08, [URL]. |

7. | 小磯 深幸, Bernstein-type theorems for surfaces with constant anisotropic mean curvature and CMC surfaces in the Lorentz-Minkowski space, 7th International Meeting on Lorentzian Geometry, 2013.07.25, [URL]. |

8. | 小磯 深幸, Non-convex anisotropic surface energy and zero mean curvature surfaces in the Lorentz-Minkowski space, The 5th OCAMI-TIMS Joint International Workshop on Differential Geometry and Geometric Analysis, 2013.03.25, [URL]. |

9. | 小磯 深幸, Geometry of isoperimetric-type problems modeled on interfaces on micrometre scale, Workshop on Geometry of Interfaces and Capillarity, 2012.06.26, [URL]. |

10. | Miyuki Koiso, Geometric analysis for variational problems of isoperimetric type, Invited Organized Talk, Annual meeting of the Mathematical Society of Japan, Tokyo University of Science, March 26, 2012., [URL]. |

11. | Miyuki Koiso， Bifurcation and stability for solutions of isoperimetric problems, Isoperimetric problems, space-filling, and soap bubble geometry, Mar 19, 2012 - Mar 23, 2012, ICMS (International Center for Mathematical Sciences), 15 South College Street Edinburgh, UK, Organisers: Cox, Simon (Institute of Mathematics and Physics), Morgan, Frank (Williams College), Sullivan, John (Technische Universitat Berlin). , [URL]. |

12. | Miyuki Koiso， Pitchfork bifurcation for hypersurfaces with constant mean curvature, The 10th Pacific Rim Geometry Conference 2011 Osaka-Fukuoka (December 1-5, Osaka City University, December 7-9, Kyushu University), December 7, 2011., [URL]. |

13. | Miyuki Koiso， Stability of surfaces with constant anisotropic mean curvature and applications to physical phenomena, III Encontro Paulista de Geometria (San Paulo, Brazil), August 9, 2011 , [URL]. |

14. | Geometric variational problems and bifurcation theory, [URL]. |

15. | Geometry of hypersurfaces with constant anisotropic mean curvature, [URL]. |

16. | Stability and bifurcation for surfaces with constant mean curvature and their generalizations, [URL]. |

17. | Stability and bifurcation for surfaces with constant mean curvature and their generalizations, [URL]. |

18. | Stability and bifurcation for solutions of isoperimetric type problems, [URL]. |

19. | , [URL]. |

20. | , [URL]. |

21. | , [URL]. |

**Membership in Academic Society**

- Society for Science on Form, Japan
- Japan Society of Mathematical Education
- Mathematical Society of Japan

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