Michihiko Fujii

Profile Information

Affiliation: Associate Professor,Associate Professor, Graduate School of Science, Division of Mathematics, Graduate School of Science Department of Mathematics Faculty of Science, University of the Ryukyus

Degree: Doctor of Science(Tokyo Institute of Technology)

J-GLOBAL ID: 200901009582748549
researchmap Member ID: 1000288682

Research Interests

Research Areas

Natural sciences / Geometry /

Research History

Oct, 2016 - Present

Faculty of Science, University of the Ryukyus
Apr, 2007 - Sep, 2016

Graduate School of Science, Kyoto University
Apr, 2003 - Mar, 2007

Graduate School of Science, Kyoto University
Oct, 1998 - Mar, 2003

助教授, 京都大学総合人間学部
Apr, 1995 - Sep, 1998

Yokohama City University
1993 - 1998

Research Associate,Faculty of science, Yokohama
1998

- Associated Professor, Faculty of Integrated
Apr, 1993 - Mar, 1995

助手, 横浜市立大学文理学部
Apr, 1992 - Mar, 1993

Tokyo Institute of Technology

Education

- Mar, 1992

Graduate School of Science and Engineering, Tokyo Institute of Technology
- Mar, 1987

Faculty of Science, The University of Tokyo

Papers

A new formula for the spherical growth series of an amalgamated free product of two infinite cyclic groups

藤井道彦

Kodai Mathematical Journal, 41 475-511, 2018 Peer-reviewed
The geodesic growth series for pure Artin groups of dihedral type

藤井道彦, 佐藤隆夫

RIMS Kokyuroku Bessatsu, B66 133-146, 2017 Peer-reviewedInvited
Computation of the spherical growth series of fninitely generated groups and monoids by using automata

FUJII Michihiko

Handbook of Group Actions, Vol.II, 479-521, 2015 Invited
The growth rates for pure Artin groups of dihedral type

Michihiko Fujii

EUROPEAN JOURNAL OF COMBINATORICS, 40 108-115, Aug, 2014 Peer-reviewed
The growth series for pure Artin monoids of dihedral type

FUJII Michihiko, Takao Satoh

RIMS Kokyuroku Bessatsu, B48 111-130, 2014 Peer-reviewedInvited
The Spherical Growth Series for Pure Artin Groups of Dihedral Type

Michihiko Fujii

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 49(3) 497-530, Sep, 2013 Peer-reviewed
A necessary condition for representatives of elements of Artin groups of dihedral type to be geodesic

Michihiko Fujii, Takao Satoh

HIROSHIMA MATHEMATICAL JOURNAL, 43(2) 139-147, Jul, 2013 Peer-reviewed
Geodesic finite automata for Artin monoids of finite type

M.Fuchiwaki, M.Fujii, K.Saito, S.Tsuchioka

RIMS Kokyuroku, 1647, 2009 Invited
An expression of harmonic vector fields on hyperbolic 3-cone-manifolds in terms of hypergeometric functions

Michihiko Fujii, Hiroyuki Ochiai

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 43(3) 727-761, Sep, 2007 Peer-reviewed
Confluence of singular points of ordinary differential equations of fuchsian type induced by deformation of two-dimensional hyperbolic cone-manifold structures

Michihiko Fujii

KYUSHU JOURNAL OF MATHEMATICS, 61(1) 21-34, Mar, 2007 Peer-reviewed
Degeneration of hyperbolic structures on the figure-eight knot complement and points of finite order on an elliptic curve

M Fujii

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 45(2) 343-354, 2005 Peer-reviewed
An algorithm for solving linear ordinary differential equations of Fuchsian type with three singular points

FUJII Michihiko, HIroyuki Ochiai

Interdisp. Information Sci., 9 189-200, 2003 Peer-reviewed
On strong convergence of hyperbolic 3-cone-manifolds whose singular sets have uniformly thick tubular neighborhoods

M Fujii

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 41(2) 421-428, Jul, 2001 Peer-reviewed
Flexible boundaries in deformations of hyperbolic 3-manifolds

M Fujii, S Kojima

OSAKA JOURNAL OF MATHEMATICS, 34(3) 541-551, Sep, 1997 Peer-reviewed
Totally geodesic boundaries are dense in the moduli space

M Fujii, T Soma

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 49(3) 589-601, Jul, 1997 Peer-reviewed
Deformations of a hyperbolic 3-manifold not affecting its totally geodesic boundary

Michihiko Fujii

Kodai Mathematical Journal, 16(3) 441-454, 1993 Peer-reviewed
On totally geodesic boundaries of hyperbolic 3-manifolds

Michihiko Fujii

Kodai Mathematical Journal, 15(2) 244-257, 1992 Peer-reviewed
HYPERBOLIC 3-MANIFOLDS WITH TOTALLY GEODESIC BOUNDARY

M FUJII

OSAKA JOURNAL OF MATHEMATICS, 27(3) 539-553, Sep, 1990 Peer-reviewed
Hyperbolic 3-Manifolds with totally geodesic boundary which are decomposed into hyperbolic truncated tetrahedra

Michihiko Fujii

Tokyo Journal of Mathematics, 13(2) 353-373, 1990 Peer-reviewed

Misc.

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)

FUJII Michihiko

RIMS Kokyuroku, 1518 164-171, Oct, 2006
Deformations of hyperbolic structures on the figure eight knot complement and an elliptic curve associated to them (Perspectives of Hyperbolic Spaces II)

Fujii Michihiko

RIMS Kokyuroku, 1387 16-30, Jul, 2004
Deformations of hyperbolic cone-manifolds and the confluence of singular points of ordinary differential equations of Fuchsian type (Perspectives of Hyperbolic Spaces)

Fujii Michihiko

RIMS Kokyuroku, 1329 102-108, Jun, 2003
An expression of harmonic vector fields of hyperbolic 3-cone-manifolds, in terms of the hypergeometric functions (Hyperbolic Spaces and Discrete Groups II)

Fujii Michihiko, Ochiai Hiroyuki

RIMS Kokyuroku, 1270 112-125, Jun, 2002
Stokes' theorem, self-adjointness of the Laplacian and Hodge's theorem for hyperbolic 3-cone-manifolds (Hyperbolic Spaces and Discrete Groups)

Fujii Michihiko

RIMS Kokyuroku, 1223 80-89, Jul, 2001
A cone angle condition on strong convergence of hydperbolic 3-cone-manifolds (Hyperbolic Spaces and Related Topics II)

Fujii Michihiko

RIMS Kokyuroku, 1163 126-131, Jul, 2000
Circle packing points in the Teichmuller space

Fujii Michihiko

RIMS Kokyuroku, 893 80-93, Jan, 1995
A LOCAL PARAMETRIZATION OF THE TEICHMULLER SPACE OF CLOSED HYPERBOLIC SURFACES, IN TERMS OF TRIANGULATIONS(Complex Analysis on Hyperbolic 3-Manifolds)

FUJII Michihiko, KOJIMA Sadayoshi

RIMS Kokyuroku, 882 1-10, Aug, 1994

Presentations

The geodesic growth series of a Seifert fiber space

M.Fujii

Geometry of Discrete Groups and Hyperbolic Spaces, Jun 1, 2021 Invited
How a geodesic representative of an element of the braid groups is obtained

M.Fujii

Riemann Surfaces and Related Topics, Oct 20, 2018 Invited
On the growth of Seifert fiber spaces over disks with two cone points

M.Fujii

Growth IV, Apr, 2017 Invited
The geodesic growth series for certain Seifert fiber spaces

M.Fujii

Days for Hyperbolic Geometry, Switzerland, Mar, 2017 Invited
Growth rates for torus knot groups

M.Fujii

Geometry Seminar of University of Fribourg, Switzerland, Mar, 2016 Invited
On the growth of torus knot groups

M.Fujii

Geometry and Analysis of Discrete Groups and Hyperbolic Spaces, RIMS Workshop, Jun, 2015 Invited
A sufficient condition for representatives of elements of braid groups to be geodesic

FUJII Michihiko

Jan, 2014 Invited
On geodesic representatives of braid groups

FUJII Michihiko

Oct, 2013 Invited
The growth series for pure Artin groups of dihedral type

FUJII Michihiko

Group actions and applications on geometry, topology and analysis, Jul, 2012 Invited
The growth functions of pure Artin groups of dihedral type

FUJII Michihiko

Branched coverings, degenerations and related topics, Mar, 2012 Invited
The growth functions of pure Artin groups of dihedral type

FUJII Michihiko

Dec, 2011 Invited
Growth functions of Artin groups, II

FUJII Michihiko

Dec, 2010 Invited

Professional Memberships

Works

双曲幾何における微分作用素に関する共同研究

2001 - 2002
Joint Research on differentiated operator in hyperbolic geometry

2001 - 2002

Research Projects

Geometry of the braid groups and mapping class groups and their growth

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2018 - Mar, 2021
Various invariants of 3 and 4-manifolds and their applicationsUe

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2016 - Mar, 2020

Ue Masaaki
Topology of discrete groups and growth series

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2017

Fujii Michihiko, SATOH Takao, KAWAZUMI Nariya, SAITO Kyoji
Deformation spaces of discrete groups and growth functions

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2011 - 2013

FUJII MICHIHIKO, UE Masaaki, SATOH Takao, KAWAZUMI Nariya, SAITO Kyoji
Topology of low dimensional manifolds with various geometric structures

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2010

UE Masaaki, FUJII Michihiko, KATO Tsuyoshi, KATO Shinichi, USHIKI Shigehiro
Deformation spaces of discrete groups and hyperbolic structures

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2008 - 2010

FUJII Michihiko, UE Masaaki, KAWAZUMI Nariya, MORISHITA Masanori, SAITO Kyoji
Developing Arithmetic Topology

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2008
The study of Low-dimensicnal manifolds with various geometric structures

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2007

UE Masaaki, FUJII Michihiko, KATO Tsuyoshi, KATO Shin'ichi, USHIKI Shigehiro, NISHIWADA Kimimasa
Research on the deformation space of hyperbolic structures on manifolds

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2006 - 2007

FUJI Michihiko, UE Masaaki, KAWAZUMI Nariya, MORISHITA Masanori, OCHIAI Hiroyuki, MORIMOTO Yoshinori
Stady of Arithmcfc Topology

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2006

MORISHITA Masanori, TAGUCHI Yushiro, KANHARA Masato, FUJII Michihiko, TERASHMA Yuji, KOHNO Toshtake
Geometric structure and integrable systems in mathematical physics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2004 - 2006

TAKASAKI Kanehisa, IKEDA Takeshi, SASAKI Ryu, SHIMIZU Yuji, TAKEBE Takashi, FUJII Michihiko
The study of low-dimensional manifolds with various geometric structures

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2004 - 2005

UE Masaaki, FUJII Michihiko, KATO Shin'ichi, NISHIWADA Kimimasa, USHIKI Shigehiro, IMANISHI Hideki
Hyperbolic structures on manifolds and their deformations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2003 - 2005

FUJII Michihiko, IMANISHI Hideki, UE Masaaki, SAITO Hiroshi, MORIMOTO Yoshinori, OCHIAI Hiroyuki
Geometry and Harmonic Analysis on Nilpotent Orbits

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2001 - 2004

NISHIYAMA Kyo, MATSUKI Toshihiko, SAITO Hiroshi, OHTA Takuya, SEKIGUCHI Jiro, YAMASHITA Hiroshi
Integrable systems with higher genus spectral parameter

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2003

TAKASAKI Kanehisa, SASAKI Ryu, TAKEBE Takashi, IKEDA Takeshi, UEKI Naomasa, UE Masaaki
Research for low-dimensional manifolds with various geometric structures

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2002 - 2003

UE Masaaki, KONO Norio, KATO Shinichi, IMANISHI Hideki, FUJII Michihiko, NISHIWADA Kimimasa
Research on discrete groups and profective strucutures on Riemann surfaces

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B), Grant-in-Aid for Scientific Research (B), Japan Society for the Promotion of Science, 2001 - 2003

NAKANISHI Toshihiro, OHOSHIKA Ken'ichi, SATO Hiroki, SHIGA Hiroshige, FUJII Michihiko, TANIGUCHI Masahiko
3次元多様体上の幾何構造とその変形

科学研究費助成事業若手研究(B), 若手研究(B), 日本学術振興会, 2001 - 2002

藤井道彦
Research for low-climensional manifolds with various geometric structures

Grants-in-Aid for Scientific Research, Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2000 - 2001

UE Masaaki, FUJII Michihiko, NISHIWADA Kimimasa, KATO Shinichi, ASANO Kiyoshi, SAKURAGAWA Takashi
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

科学研究費助成事業奨励研究(A), 奨励研究(A), 日本学術振興会, 1998 - 1999

藤井道彦

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Education

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Misc.

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