Rchr
J-GLOBAL ID：200901009582748549
Update date: Mar. 04, 2024
Fujii Michihiko
フジイ ミチヒコ | Fujii Michihiko
Affiliation and department：
Job title：
Associate Professor,Associate Professor
Research field (1)：
Geometry
Research keywords (2)：
位相幾何学
, topology
Research theme for competitive and other funds (22)：
- 2018 - 2021 Geometry of the braid groups and mapping class groups and their growth
- 2016 - 2020 Various invariants of 3 and 4-manifolds and their applicationsUe
- 2014 - 2017 Topology of discrete groups and growth series
- 2011 - 2013 Deformation spaces of discrete groups and growth functions
- 2008 - 2010 Topology of low dimensional manifolds with various geometric structures
- 2008 - 2010 Deformation spaces of discrete groups and hyperbolic structures
- 2007 - 2008 Developing Arithmetic Topology
- 2006 - 2007 The study of Low-dimensicnal manifolds with various geometric structures
- 2006 - 2007 Research on the deformation space of hyperbolic structures on manifolds
- 2005 - 2006 Stady of Arithmcfc Topology
- 2004 - 2006 Geometric structure and integrable systems in mathematical physics
- 2004 - 2005 The study of low-dimensional manifolds with various geometric structures
- 2003 - 2005 Hyperbolic structures on manifolds and their deformations
- 2001 - 2004 Geometry and Harmonic Analysis on Nilpotent Orbits
- 2002 - 2003 Integrable systems with higher genus spectral parameter
- 2002 - 2003 Research for low-dimensional manifolds with various geometric structures
- 2001 - 2003 Research on discrete groups and profective strucutures on Riemann surfaces
- 2001 - 2002 3次元多様体上の幾何構造とその変形
- 2000 - 2001 Research for low-climensional manifolds with various geometric structures
- 1998 - 1999 3次元多様体上の双曲構造の変形とリーマン面のモジュライ空間
- 1995 - 1996 双曲的多様体の構造変形について
- 1994 - 1995 双曲的3次元多様体の構造変形について
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Papers (19)：
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藤井 道彦. A new formula for the spherical growth series of an amalgamated free product of two infinite cyclic groups. Kodai Mathematical Journal. 2018. 41. 475-511
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藤井 道彦, 佐藤 隆夫. The geodesic growth series for pure Artin groups of dihedral type. RIMS Kokyuroku Bessatsu. 2017. B66. 133-146
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FUJII Michihiko. Computation of the spherical growth series of fninitely generated groups and monoids by using automata. Handbook of Group Actions, Vol.II. 2015. 479-521
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Michihiko Fujii. The growth rates for pure Artin groups of dihedral type. EUROPEAN JOURNAL OF COMBINATORICS. 2014. 40. 108-115
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FUJII Michihiko, Takao Satoh. The growth series for pure Artin monoids of dihedral type. RIMS Kokyuroku Bessatsu. 2014. B48. 111-130
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MISC (8)：
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FUJII Michihiko. Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations of Fuchsian type, II(Complex Analysis and Geometry of Hyperbolic Spaces). RIMS Kokyuroku. 2006. 1518. 164-171
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Fujii Michihiko. Deformations of hyperbolic structures on the figure eight knot complement and an elliptic curve associated to them (Perspectives of Hyperbolic Spaces II). RIMS Kokyuroku. 2004. 1387. 16-30
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Fujii Michihiko. Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations of Fuchsian type (Perspectives of Hyperbolic Spaces). RIMS Kokyuroku. 2003. 1329. 102-108
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Fujii Michihiko, Ochiai Hiroyuki. An expression of harmonic vector fields of hyperbolic 3-cone-manifolds, in terms of the hypergeometric functions (Hyperbolic Spaces and Discrete Groups II). RIMS Kokyuroku. 2002. 1270. 112-125
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Fujii Michihiko. Stokes' theorem, self-adjointness of the Laplacian and Hodge's theorem for hyperbolic 3-cone-manifolds (Hyperbolic Spaces and Discrete Groups). RIMS Kokyuroku. 2001. 1223. 80-89
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Lectures and oral presentations (12)：
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The geodesic growth series of a Seifert fiber space
(Geometry of Discrete Groups and Hyperbolic Spaces 2021)
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How a geodesic representative of an element of the braid groups is obtained
(Riemann Surfaces and Related Topics 2018)
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On the growth of Seifert fiber spaces over disks with two cone points
(Growth IV 2017)
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The geodesic growth series for certain Seifert fiber spaces
(Days for Hyperbolic Geometry, Switzerland 2017)
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Growth rates for torus knot groups
(Geometry Seminar of University of Fribourg, Switzerland 2016)
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Works (2)：
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双曲幾何における微分作用素に関する共同研究
2001 - 2002
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Joint Research on differentiated operator in hyperbolic geometry
2001 - 2002
Education (2)：
- - 1992 Tokyo Institute of Technology Graduate School of Science and Engineering
- - 1987 The University of Tokyo Faculty of Science
Professional career (1)：
- Doctor of Science (Tokyo Institute of Technology)
Work history (9)：
- 2016/10 - 現在 University of the Ryukyus Faculty of Science
- 2007/04 - 2016/09 Kyoto University Graduate School of Science
- 2003/04 - 2007/03 Kyoto University Graduate School of Science
- 1998/10 - 2003/03 京都大学総合人間学部 助教授
- 1995/04 - 1998/09 Yokohama City University
- 1993 - 1998 Research Associate,Faculty of science, Yokohama
- 1998 - - Associated Professor, Faculty of Integrated
- 1993/04 - 1995/03 横浜市立大学文理学部 助手
- 1992/04 - 1993/03 Tokyo Institute of Technology
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Association Membership(s) (2)：
日本数学会
, The Mathematical Society of Japan
