Goo Ishikawa

J-GLOBAL         Last updated: Oct 24, 2018 at 12:08
Goo Ishikawa
Hokkaido University
Faculty of Science


Name: Goo Ishikawa
Citizenship: Japanese.

B. S., Kyoto University (March, 1980)
M. S., Kyoto University (March, 1982)
Ph. D. (Doctor of Science), Kyoto University (March, 1985)

Assistant, Nara Women's University (1985--87)
Lecturer, Hokkaido University (1987--90)
Associate Professor, Hokkaido University (1990-- )
Associate Professor, Hokkaido University, Graduate School (1995--)
Professor, Hokkaido University, Graduate School (2004--)

Published Papers

Leibniz complexity of Nash functions on differentiations
Goo Ishikawa, Tatsuya Yamashita
Journal of the Mathematical Society of Japan   出版確定    2018   [Refereed]
arXiv:1509.08261 [math.AG]
Singularities of frontals
Goo Ishikawa
Advanced Studies in Pure Mathematics   78 55-106   2018   [Refereed]
Goo Ishikawa, Tatsuya Yamashita
Topology and its Applications   234 198-208   2018   [Refereed]
arXiv:1607.08702 [math.DG]
Residual Algebraic Restrictions of Differential Forms
Goo Ishikawa, . Janeczko
Methods and Applications of Analysis   24(1) 45-62   Mar 2017   [Refereed]
Singularities of tangent surfaces to generic space curves
Goo Ishikawa, Tatsuya Yamashita
Journal of Geometry,   108 301-318   2017   [Refereed]
Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
Asian Journal of Mathematics   20(2) 353-382   2016   [Refereed]
D_n-geometry and singularities of tangent surfaces
Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
RIMS K\={o}ky\={u}roku Bessatsu   B55 67-87   2016   [Refereed]
Goo Ishikawa, Yumiko Kitagawa, Wataru Yukuno
Demonstratio Mathematica   48(2) 193-216   May 2015   [Refereed]
Goo Ishikawa, Yumik Kitagawa, Wataru Yukuno
Journal of Dynamical and Control Systems   21 155-171   Feb 2015   [Refereed]
Goo Ishikawa, Y. Machida, M. Takahashi
Journal of Singularities   12 27-52   2015   [Refereed]
Goo Ishikawa, Yoshinori Machida
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)   11(081)    2015   [Refereed]
Classification problems on singularities of mappings and their applications
Goo Ishikawa
Sugaku Exposition   28(2) 189-214   2015   [Refereed]
Goo Ishikawa
Journal of Dynamical and Control Systems      2014   [Refereed]
Tangent varieties and openings of map-germs
Goo Ishikawa
RIMS K\={o}ky\={u}roku Bessatsu   B38 119-137   2013   [Refereed]
Goo Ishikawa
Topics on Real and Complex Singularities, World Scientific   87-113   2014   [Refereed]
The algebraic notion of openings of a map-germ is introduced in this paper. An opening separates the self-intersections of the original map-germ, preserving its singularities. The notion of openings is different from the notion of unfoldings. Open...
Symplectic invariants of parametric singularities
Goo Ishikawa, S. Janeczko
Advances in Geometric Analysis, Advanced Lectures in Mathematics series   21 259-280   Jul 2012   [Refereed]
Goo Ishikawa
Topology and its Applications   159(2) 492-500   Feb 2012   [Refereed]
The generic singularities and bifurcations are classified for one-parameter
families of curves with frames in a space form, the Euclidean space, the
elliptic space or the hyperbolic space via projective geometry. Two kinds of
frames are considered...
Goo Ishikawa
Journal of Singularities   6 54-83   Jan 2012   [Refereed]
It is given the diffeomorphism classification on generic singularities of
tangent varieties to curves with arbitrary codimension in a projective space.
The generic classifications are performed in terms of certain geometric
structures and differen...
Classification problems on singularities of mappings and their applications
Goo Ishikawa
Sugaku   64(1) 75-96   2012   [Refereed]
Goo Ishikawa, Y. Machida, M. Takahashi
Journal of Singularities   3 126-143   2011   [Refereed]
Goo Ishikawa
Differential Geometry and its Applications   28(3) 341-354   2010   [Refereed]
We solve the problem on flat extensions of a generic surface with boundary in
Euclidean 3-space, relating it to the singularity theory of the envelope
generated by the boundary. We give related results on Legendre surfaces with
boundaries via proj...
Goo Ishikawa, S.Janeczko
Annales Polonici Mathematici   99(3) 263-284   2010   [Refereed]
Bifurcations in symplectic space
Goo Ishikawa, S. Janeczko
Banach Center Publ.   82 111-124   2008   [Refereed]
Goo Ishikawa
Contemporary Mathematics   459 51-72   2008   [Refereed]
We consider the global symplectic classification problem of plane curves.
First we give the exact classification result under symplectomorphisms, for the
case of generic plane curves, namely immersions with transverse
self-intersections. Then the ...
A. A. Davydov, G. Ishikawa, S. Izumiya, W. -Z. Sun
Japanese Journal of Mathematics   3(1) 93-119   2008   [Refereed]
For the implicit systems of first order ordinary differential equations on
the plane there is presented the complete local classification of generic
singularities of family of its phase curves up to smooth orbital equivalence.
Besides the well kno...
Goo Ishikawa
Real and Complex Singularities, World Scientific   56-84   2007   [Refereed]
In this survey article we show several recent results on the local classification of irreducible plane curve singularities, plane branches, based on Oscar Zariski’s lectures [17], and that of Legendre curve singularities. We compare exac...
Goo Ishikawa, Jiro Adachi
Nonlinearity   20 1907-1925   2007   [Refereed]
Goo Ishikawa, Yoshinori Machida
International Journal of Mathematics   17(3) 269-293   2006   [Refereed]
G. Ishikawa
Asian Journal of Mathematics   9(1) 133-166   Mar 2005   [Refereed]
We give the characterization of Arnol'd-Mather type for stable singular
Legendre immersions. The most important building block of the theory is
providing a module structure on the space of infinitesimal integral
deformations by means of the notion...
Perturbations of Caustics and Fronts
Goo Ishikawa
Banach Center Publications   62 101-116   2004   [Refereed]
Goo Ishikawa
Journal of Geometry and Physics   52(2) 113-126   2004   [Refereed]
Symplectic singularities of isotropic mappings
Goo Ishikawa, S. Janeczko
Banach Center Publications   65 85-106   2004   [Refereed]
Goo Ishikawa, S. Janeczko
Quarterly Journal of Mathematics, Oxford   54 73-102   2003   [Refereed]
Lagrange mappings of the first open Whitney umbrella
Goo Ishikawa, Ilya Bogaevskii
Pacific Journal of Math.   203(1) 115-138   2002   [Refereed]
Submanifolds with degenerate Gauss mappings in spheres
Goo Ishikawa, M. Kimura, R. Miyaoka
Advanced Study in Pure Mathematics   37 115-149   2002   [Refereed]
Goo Ishikawa, T. Morimoto
Differential Geometry and its Applications,   14 113-124   2001   [Refereed]
Topological classification of the tangent developables of space curves
Goo Ishikawa
Journal of London Math. Soc.   62(2) 583-598   2000   [Refereed]
Ishikawa G., Ohmoto T.
RIMS Kokyuroku   926 144-148   Nov 1995
RIMS Kokyuroku   845 53-63   Jun 1993
RIMS Kokyuroku   690 9-36   May 1989
RIMS Kokyuroku   619 1-11   Apr 1987
RIMS Kokyuroku   595 39-58   Jul 1986
Ishikawa Goo
RIMS Kokyuroku   493 101-133   May 1983
RIMS Kokyuroku   403 88-95   Nov 1980

Books etc

Singularities of Curves and Surfaces in Various Geometric Problems
Goo Ishikawa
CAS Lecture Notes 10, Exact Sciences   2015   

Association Memberships