Shyuichi Izumiya

J-GLOBAL         Last updated: Aug 28, 2016 at 11:31
 
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Name
Shyuichi Izumiya
Nickname
singularity
Affiliation
Hokkaido University
Section
Department of Mathematics, Faculty of Science
Job title
Professor
Degree
Dr. Sci
Other affiliation
Center of Integrative MathematicsHokkaido University

Profile

I was born in Sapporo.
I am interested in the aplication of Singularity theory
to Differential Geometry, Theoretical Phyiscs and non-linear analysis.

My short CV:
1) Education.
1984: Awarded the degree of DSc in Mathematics
for a thesis entitled "Generic bifurcation
of varieties".
Work supervised by Professor Haruo Suzuki.

1978: April-November Department of Mathematics,
Faculty of Science, Hokkaido University,
Doctor course.

1976-1978: Department of Mathematics,
Faculty of Science, Hokkaido University
Awarded the degree of MSc in Mathematics
for a thesis entitled
"Homotopy classification of regular
sections which are equivariant with
respect to finite group actions".
Work supervised by Professor Haruo Suzuki.

971-1975: Faculty of Science, Hokkaido University
Awarded the degree of BSc in Mathematics

2)Membership of academic societies:

Mathematical Society of Japan

Japan Astronomical Society

American Mathematical Society

London Mathematical Society

The Mathematical Association of America

Research Areas

 
 
  • Mathematics / Geometry / Singularity theory

Academic & Professional Experience

 
Apr 2016
 - 
Today
Specially Appointed Professor, Faculty fo Science, Hokkaido University
 
Apr 2016
 - 
Today
Professor Emeritus, Hokkaido University
 
Mar 2010
 - 
Today
Honorary Professor, Northeast Normal University (China)
 
Apr 1995
 - 
Today
Professor, Faculty of Science, Hokkaido University
 
Feb 1987
 - 
Mar 1995
Associate Professor, Faculty of Science, Hokkaido University
 
Feb 1985
 - 
Jan 1987
Lecturer, Faculty of Science, Hokkaido University
 
Dec 1978
 - 
Jan 1985
Assistant Professor, Faculty of Science, Nara Woman's University
 

Published Papers

 
Shyuichi Izumiya
Canadian Mathematical Bulletin   online first    Aug 2016   [Refereed]
Noriaki Ito and Shyuichi Izumiya
International Journal of Geometric Method in Modern Physics   13(5) 1650066-1-1650066-19   Apr 2016   [Refereed]
Takashi Ashino, Hisayoshi Ichiwara and Shyuichi Izumiya
Note di Matematica   35(2) 51-67   Dec 2015   [Refereed]
Shyuichi Izumiya
Journal of Mathematical Physics   56 112502-1-112502-29   Nov 2015   [Refereed]
Shyuichi Izumiya, Ana Claudia Nabarro and Andrea Jesus Sacramento
Journal of Geometry and Physics   97 105-118   Jul 2015   [Refereed]
Shyuichi Izumiya, Saki Otani
Demonstratio Mathematica   XLVIII(2) 217-241   May 2015   [Refereed]
Shyuichi Izumiya and Handan Y\i ld\i r\i m
Journal of Geoemtry and Physics   98 160-180   Sep 2015   [Refereed]
Shyuichi Izumiya
International Journal of Geometry   4(1) 37-41   Apr 2015   [Refereed]
Satoshi Hananoi, Noriaki Ito and Shyuichi Izumiya
Contributions to Algebra and Geometry   56 575-585   Oct 2015   [Refereed]
Atsufumi Honda and Shyuichi Izumiya 
Journal of Geometry   106 185-210   Feb 2015   [Refereed]
Shyuichi Izumiya
Journal of Singularities   12 53-79   Jan 2015   [Refereed]
Liang Chen, Shyuichi Izumiya, Donghe Pei
Journal of Mathematical Science   199(6) 629-644   Jun 2014   [Refereed]
Differntial geometry from the view point of Legendrian singularities
Shyuichi Izumiya
SUGAKU EXPOSITION   27(1) 43-67   May 2014   [Refereed][Invited]
Shyuichi Izumiya and Masaki Kasedou,
International Journal of Geometric Methods in Modern Physics   11(5) 1450049   Apr 2014   [Refereed]
Shyuichi Izumiya
Differential Geoemtry and its Applications   34 103-127   May 2014   [Refereed]
Shyuichi Izumiya,Yang Jiang and Donghe Pei
Math. Nachr. published online   287(14-15) 1687-1700   Sep 2014   [Refereed]
Liang Chen,Shyuichi Izumiya、Donghe Pei and Kentaro Saji
Sciene China Mathematics   57(9) 1841-1866   Aug 2014   [Refereed]
Shyuichi Izumiya and Takami Sato
Journal of Singularities   10 157-173   Dec 2014   [Refereed]
Shyuichi Izumiya and Takami Sato
Journal of Geometry and Physics   71 30-52   Sep 2013   [Refereed]
Shyuichi Izumiya, Yang Jiang and Takami Sato
Journal of Mathematical Physics   54(6) 063511   Jun 2013   [Refereed]

Books etc

 
Shyuichi Izumiya, Maria del Carmen Romero Fuster, Maria Aparecida Soares Ruas, Farid Tari
WSPC   Dec 2015   ISBN:978-9814590440
泉屋 周一, 上江洌 達也, 小池 茂昭, 重本 和泰, 徳永 浩雄
数学書房   Apr 2011   ISBN:490334231X
竹内 伸子, 村山 光孝, 泉屋 周一
日科技連出版社   May 2009   ISBN:4817193085
泉屋 周一
共立出版   Oct 2008   ISBN:4320018737
竹内 伸子, 村山 光孝, 泉屋 周一
日科技連出版社   May 2008   ISBN:4817192682

Conference Activities & Talks

 
Caustics and A-equivalence among function-germs
Shyuichi Izumiya
"Topology and Singularity" and its applications   2 Jun 2016   
Shyuichi Izumiya
Real Singularities and Applications, CIRM (France)   17 Feb 2015   
Caustics of world sheets in Lorentz-Minkowski space [Invited]
Shyuichi Izumiya
Internaltionla Conference on Geoemtry and its Applications   16 Oct 2014   Tensor Society in INDIA
Spherical Darboux images of curves on surfaces
Shyuichi Izumiya
International workshop on Singularities, Geoemtry , topology and related topics   1 Sep 2014   Chen Liang
The theory of wave front propagations and its applications
Shyuichi Izumiya
School on Singularity Theory, USP (Sao Carlos, Brazil)   5 Aug 2014   
The theory of wave front propagations and its applications (overview)
Shyuichi Izumiya
13th International Workshop on Real and Complex Singulariteis(USP, Sao Carlos , Brazil)   31 Jul 2014   
Lightlike geometry of world sheets in Lorentz space forms [Invited]
Shyuichi Izumiya
CAS Viisiting Lecture series (Center for Advanced Studies WUT),Warsaw   11 Feb 2014   
Caustics of world sheets in Loretnz space forms [Invited]
Shyuichi Izumiya
CAS Viisiting Lecture series (Center for Advanced Studies WUT),Warsaw   4 Feb 2014   
Applications of Legendrian/Lagrangian singularity theory to Lorentz differential geometry [Invited]
Shyuichi Izumiya
CIMPA-UNESCO research school and workshop Geometry and Topology of Singular Varieties. Theory and Applications   2 Dec 2013   VAST
ミンコフスキー時空内の世界面の幾何学 [Invited]
Shyuichi Izumiya
25 Nov 2013   Takashi Nishimura
Caustics of world sheets in anti-de Sitter space [Invited]
Shyuichi Izumiya
Singularities in geometry and appliccations III   2 Sep 2013   
Flat approximations of surfaces along curves [Invited]
Shyuichi Izumiya
Geometric Singularity Theory, Polish-Japanese Singuarity Theory Working Days   26 Aug 2013   
Total lightcone curvatures of spaceliek submanifolds in Lorentz-Minkowski space [Invited]
Shyuichi Izumiya
The International Conference of Differential Geometry and Dynamical Systems   29 Aug 2012   Balkan Society of Geometers
The lightlike geometry of spacelike submanifolds in Lorentz-Minkowski space [Invited]
Shyuichi Izumiya
Bruce 60 & Wall 75, Workshop in Singularity Theory , its Applications and Future Prospects   18 Jun 2012   P. Giblin and V. Goryunov (Liverpool University)
Lightlike geometry of spacelike submanifolds in Loretnz-Minkowski space [Invited]
Shyuichi Izumiya
Singularity Theory and Geometric Structure   30 May 2012   
Marginally trapped surfaces in Minkowski space-time [Invited]
Shyuichi Izumiya
Singularity Theory and its applications   Jun 2011   
The lightlike geometry of spacelike submanifolds in Lorentz-Minkowski space [Invited]
Shyuichi Izumiya
Differential Geometry and Tanaka Theory   Jan 2011   
Singularities of Gauss maps; revisited [Invited]
Shyuichi Izumiya
11th International Workshop on Real and Complex Singularities   Jul 2010   
Singularities of caustics emitted by timelike hypersurfaces in Anti de Sitter space [Invited]
Shyuichi Izumiya
JSPS forum Singularities and Applications, Strasbourg   Aug 2009   
Caustics emanating from hyperbranes in anti-de Sitter space
Shyuichi Izumiya
Polish-Japanese Singularity Theory Working days   Jul 2009   
Differential Geometry from the view point of Singularity Theory [Invited]
S. Izumiya and M. Ruas
1st Workshop on Singularities in Generic Geometry and Applications (Valencia)   Mar 2009   
Horospherical geometry in the hyperbolic space [Invited]
Shyuichi Izumiya
Geometry-Topology-Algebra-Arithmetics, Dalat University (Vietnum)   Dec 2008   
Spacelike surfaces in Anti de Sitter 4-space [Invited]
Shyuichi Izumiya
10th Real and Complex singularities ICMC-USP, Sao Carlos,   Jul 2008   
Horospherical geometry in Hyperbolic space
Shyuichi Izumiya
International conference Analysis and Singularities (Arnol’d 70) Steklov Institute(MOSCOW)   Aug 2007   
Horospherical Geometry in Hyperbolic Space [Invited]
Shyuichi Izumiya
Hayashibara forum on "Singularities" (IHES) France   Nov 2006   
Lightlike surfaces in 3-dimensional Lorentzian space forms [Invited]
Shyuichi Izumiya
The International Symposium on Singularity Theory and its Applications, Changsha (China)   Sep 2006   
Lightlike surfaces in 3-dimensional Lorentzian space forms [Invited]
Shyuichi Izumiya
9th International Workshop on Real and Complex Singularities   Jul 2006   
Developable surfaces and Legendrian line congruence
Shyuichi Izumiya
Applications of Singularity Theory to Wave Propagation Theory and Dynamical Sysytems, Isaac Newton Institute for Mathematical Science, University of Cambridge (UK)   Sep 2000   
Singularities of Haefliger foliations and the transversal Whitney topology [Invited]
Shyuichi Izumiya
The 6th Workshop On Real And Complex Singularities   Jul 2000   
A survey on singular solutions of first order partial differential equations [Invited]
Shyuichi Izumiya
3rd International Workshop on Real and Complex Singularities, Sao Carlos   Aug 1994   
Applications of Legendrian Unfoldings
Shyuichi Izumiya
Singularities--Hawaii, The University of Hawaii, Honolulu (USA)   Aug 1990   

Research Grants & Projects

 
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(挑戦的萌芽研究)
Project Year: 2009 - 2011    Investigator(s): Shyuichi IZUMIYA
We have progressed the research on local and global properties of geometric invariants for spacelike submanifolds in anti de Sitter space-time and Minkowski space-time. As a consequence, we have introduced the notion of lightlike tightness for spa...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B))
Project Year: 2006 - 2009    Investigator(s): Shyuichi IZUMIYA
In this research project, we applied Singularity Theory to some areas in Mathematics such as Differential Geometry, Symplectic Geometry, non-linear Partial Differential Equations etc, so that we have obtained several results. Moreover, we have obt...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A))
Project Year: 2003 - 2005    Investigator(s): Shyuichi IZUMIYA
The purposes of the reasearch project were improvements of several areas in Topology and Differential Geometry which are roots of Singularity theory, constructions of new field for the applications of Singularity theory and developments of the app...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(A))
Project Year: 1998 - 2001    Investigator(s): Shyuichi IZUMIYA
In this research project, we established the fundamental results on the propagation of singualnties (or shock waves) for weak solutions of partial differential equations and the construction on new invariants in Differential Geometry as an applica...
Ministry of Education, Culture, Sports, Science and Technology: Grants-in-Aid for Scientific Research(基盤研究(B))
Project Year: 1996 - 1997    Investigator(s): Shyuichi IZUMIYA
In this research project, we established the calssification of the singularities of solution surfaces of quasi-homogeneous first order partial differential equations, viscosity solutions of Hamilton-Jacobi equations with one-space variable and mul...

Education

 
Sep 1984
 - 
Today
Hokkaido University, Doctor of Science
 
Apr 1978
 - 
Nov 1978
Department of Mathematics, Graduate schoold of Science, Dr. course, Hokkaido University
 
Apr 1976
 - 
Mar 1978
Department of Mathematics, Graduate school of Science、MSc course, Hokkaido University
 
Apr 1973
 - 
Mar 1975
Department of Mathematics, Faculty of Science, Hokkaido University
 
Apr 1971
 - 
Mar 1973
Natural Science, Faculty of General education, Hokkaido University
 

Others

 
Membership of editors of Mathematical Journals:

2007-- A member of the editorial board, International Electoric Journal of Geometry, Ankara University, Turky

2008-- A member of the assosciated editors, Demonstratio Mathematica,
Warsaw University of Technology, Poland.

2011--2012 A member of the editorial board, ISRN Geometry,
Hindawi Publishing Corporation

2011--2014 A member of the editorial board, Advances in Pure Mathematics,
Scientific Research Publishing

2011-- A member of the editorial board,
Journal of Mathematical Society of Japan

2015-- A member of the editorial board,
Turkish Jounral of Mathematics
1) 12th MSJ-IRI "Singularity theory and its applications" The main organizer, September, 2003

2) Singularities in Generic Geometry and its Applications
--Kobe-Kyoto 2015 (Valencia IV)--
The main organizer, June, 2015
Preprints I
1) Ryota Hayashi, Shyuichi Izumiya and Takami Sato,
Focal surfaces and evolutes of curves in Hyperbolic space, to appear in Communications of the Korean Mathematical Society
2) Yang Jiang and Shyuichi Izumiya,
Lightcone dualities for submanifoulds in the sphere,
preprint (2014)
3) S. Izumiya, Geometry of world sheets in Lorentz-Minkowski space, to appear in RIMS Kokyuroku Bessatsu
4) S. Izumiya, Caustics of world sheets in Lorentz-Minkowski 3-space, Preprint (2014)
5) Shyuichi Izumiya, Caustics of world hyper-sheets in the Minkowski space-time, to appear in Proceedings of XIIIth symposium on real and complex singularities,
Contemporary mathematics, AMS (2016)
Preprints II
6) Satoshi HANANOI and Shyuichi IZUMIYA, Normal developable surfaces of surfaces along curves, preprint (2015), to appear in The Royal Society of Edinburgh Proceeding A (Mathematics)
7) Shyuichi Izumiya, Caustics and Maxwell sets of world sheets in anti-de Sitter space, preprint (2015)
8) Yang Jiang and Shyucichi Izumiya, Extrinsic flat surfaces along curves on surfaces in the three-sphere,
preprint (2015)
9) Shyuichi Izumiya, Kentaro Saji and Nobuko Takeuchi, Flat surfaces along cuspidal edges, preprint (2015)
10) Shyuichi Izumiya, Ana Claudia Nabarro and Andrea de Jesus Sacramento, Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space, preprint (2016)
11) Shyuichi Izumiya, The theory of graph-like Legendrian unfolding:Equivalence relations, Preprint (2016)
12) Shyuichi Izumiya and Takayuki Nagai, Generalized Sabban curves in the Euclidean n-sphere and spherical duality, preprint (2016)