AMANO Katsutoshi

J-GLOBAL         Last updated: Apr 16, 2016 at 18:48
 
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Name
AMANO Katsutoshi
E-mail
ma-pfybdb-612019agate.dti.ne.jp
URL
http://amano-katsutoshi.com/index-eng.html
Affiliation
Josai University
Section
Faculty of Sciences Department of Mathematics
Job title
Part-time lecturer
Degree
Doctor(Science)(University of Tsukuba)
Other affiliation
University of TsukubaUniversity of Tsukuba

Profile

Differential-difference Galois theory using Hopf
algebras.

Research Areas

 
 

Education

 
1994
 - 
1999
Collage of Natural Sciences, majored in Mathematics, First Cluster of College, University of Tsukuba
 
1999
 - 
2004
Doctoral Program in Mathematics, University of Tsukuba
 
2004
 - 
2005
Mathematics, Graduate School of Pure and Applied Sciences, University of Tsukuba
 

Academic & Professional Experience

 
2005
 - 
2006
Researcher, Graduate School of Pure and Applied Sciences, University of Tsukuba
 
2006
 - 
2008
Part-time lecturer, Nippon Institute of Technology
 
2007
 - 
2008
Part-time lecturer, Chiba Institute of Technology
 
2008
 - 
2011
Assistant Professor, Institute of Mathematics, University of Tsukuba
 
2011
 - 
2014
Assistant Professor, Institute of Mathematics, University of Tsukuba
 
2015
 - 
Today
Part-time lecturer, Faculty of Engineering, Information and Systems, University of Tsukuba
 
2015
 - 
Today
Part-time lecturer, Faculty of Science, Josai University
 
2016
 - 
Today
Technical assistant, Academic Computing and Communications Center, University of Tsukuba
 

Published Papers

 
Hopf algebraic approach to Picard-Vessiot theory
Katsutoshi Amano, Akira Masuoka, Mitsuhiro Takeuchi
Handbook of Algebra   6 127-171   Aug 2009   [Refereed][Invited]
Liouville extensions of artinian simple module algebras
Katsutoshi Amano
Communications in Algebra   (34) 1811-1823   Jun 2006   [Refereed]
Picard-Vessiot extensions of artinian simple module algebras
Katsutoshi Amano, Akira Masuoka
Journal of Algebra   (285) 743-767   Jan 2005   [Refereed]
Construction of Irreducible Relative Invariant of the Prehomogeneous Vector Space Tex
Katsutoshi Amano, Masaki Fujigami, Takeyoshi Kogiso
Linear Algebra and Its Applications   (355) 215-222   Oct 2002   [Refereed]
Multivariablization of Igusa's results (in the case where local zeta functions can be written as product of gamma-functions)
Katsutoshi Amano
Sūrikaisekikenkyūsho Kōkyūroku, Kyoto University   (1238) 1-11   Nov 2001

Misc

 
Katsutoshi Amano
arXiv:math.AC/0612683      Dec 2006
Katsutoshi Amano
arXiv:math.AC/0503291      Mar 2005
Revised version of the doctoral thesis
Explicit forms of multivariable local functional equations by Tex-functions (in Japanese)
Katsutoshi Amano
   2001
Master's thesis (some corrections are available; please refer to the following URL (in Japanese))
http://www.math.tsukuba.ac.jp/~amano/dvi-pdf/master-correction.html

Conference Activities & Talks

 
G-primitive extensions of Artinian simple D-module algebras
AMANO Katsutoshi
Tsukuba Mini-Conference on Hopf Algebras and Differential Galois Theory   15 Sep 2015   
"Hopf Algebras and Affine Group Schemes", "Hopf Algebraic Approach to Picard-Vessiot Theory" (short lectures)
Differential Galois Theory Seminar in Tsukuba   12 Dec 2012   
Picard-Vessiot theory for Artinian simple D-module algebras
Hopf Algebras and Quantum Groups (at University of Tsukuba)   Oct 2010   
Liouville extensions in the Picard-Vessiot theory for Artinian simple D-module algebras [Invited]
GTEM (Galois Theory and Explicit Methods) Final conference   Sep 2010   
Picard-Vessiot theory for Artinian simple D-module algebras [Invited]
ESF Mathematics Conference "Algebraic Methods in Dynamical Systems"   May 2010